Calcul
Limites, dérivées, optimisation et comportement des fonctions.
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question determine the domain on which the following graph of $f(x)$ is…
$(-\infty, 1) \cup (5, \infty)$
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question determine the domain on which the following function is increa…
$x > 1$ or in interval notation: $(1, \infty)$
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11. label the graphs as $f(x)$ or $g(x)$. $f(x)e^{x}$ and $g(x)e^{4x}$ …
A: $g(x)=e^{4x}$ B: $f(x)=e^{x}$
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james wants an account with the lowest fees. which checking account wou…
Account A and Account C (both have the lowest total cost of $\$10$)
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determine the domain on which the following function is increasing. swe…
$(-\infty, 2)$
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question determine the domain on which the following function is decrea…
$(6, 14)$
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$f(x) = 0.4^{x}$ and $g(x) = 0.2^{x}$ a. $f(x)$ b. $g(x)$ a b
a. $f(x)$: B b. $g(x)$: A
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unit 2 economic geography study guide1. identify the following as eithe…
1. a. Natural resource b. Human resource c. Natural resource d. Capital resource e. Capital resource f. Natural resource 2. Renewable resource example: Wind energy Nonrenewable re…
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7. label the graphs as $f(x)$ or $g(x)$. $f(x)=4^{x}$ and $g(x)=2^{x}$ …
a. $f(x)$: Graph A b. $g(x)$: Graph B
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3.5 assessment westward movement possible points: 5 did the benefits of…
The benefits of westward movement outweighed the costs for the development of the United States as a nation, though this came at an immense, uncompensated cost to Indigenous peopl…
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you have unlimited attempts to complete this practice test. dont forget…
$a= -3$, $b=9$, $c=4$
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thisbe\ and shakespeares romeo and juliet. \pyramus and thisbe\ they ow…
Both works show young people in love; only Shakespeare describes the setting.
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source 2wledge of us history, answer the questions on theall these peop…
B. The Allied victory in World War I
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source 2 knowledge of us history, answer the questions on the sake all …
B. Germany was required to demilitarize and not allowed to rebuild their military. D. Germany must compensate the Allied powers for damages by paying war reparations.
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source 1 dge of us history, answer the questions on the these people am…
C. A majority of Senators wanted to avoid interfering in Europe & concentrate on our sphere of influence
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6. use $log_{7} 4 \\approx 0.712$ and $log_{7} 12 \\approx 1.277$ to ev…
1.424
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7. eli graphed this function on a coordinate grid: $f(x) = (x - 3)^2$ p…
Part A: $g(x) = x^2$ Part B: The graph of the parent function $g(x)=x^2$ is shifted 3 units to the right to get the graph of $f(x)=(x-3)^2$.
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22 consider a polynomial function whose equation is: $f(x)=x(x-2)^2(x+1…
Part A: 4 Part B: Even Part C: A. As $x \to +\infty$, $f(x) \to +\infty$, D. As $x \to -\infty$, $f(x) \to +\infty$
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24 what is the end behavior of the graph below? (choose 2 answers!)a as…
A. As $x \to -\infty$, $f(x) \to -\infty$ B. As $x \to +\infty$, $f(x) \to +\infty$
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21 what is the interval of increase for the function represented by the…
The interval of increase is $(3, \infty)$ (or $x > 3$)
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a $f(x) = -(x+3)^2(x+1)(x-4)^3$ b $f(x) = -\frac{1}{8}(x+3)^2(x+1)(x-4)…
C. $f(x)=\frac{1}{8}(x+3)^2(x+1)(x-4)^3$
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$f(x) = \\log_{2}x$, $g(x) = \\log_{2} (x + 2) - 3$ the graph of $g$ is…
1. translation 2. left 3. 2 4. down 3. 3 Full statement: The graph of $g$ is a translation 2 units left and 3 units down of the graph of $f$.
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19 part a (a) based on the graph, how many zeroes does the polynomial f…
(a) 1 (b) $x=-4$, $x=-1$, $x=0$, $x=2$
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the height of a painting is $sqrt{85}$ ft. between which two consecutiv…
B. 9 and 10
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question $f(x)=\\begin{cases}2x + 8&\\text{for}\\-5\\leq x < -1\\\\-6&\…
$-6$
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question $f(x)=\\begin{cases}x - 1&\\text{for}&x < -4\\\\5&\\text{for}&…
undefined
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16 classify each of the following according to the degree and leading c…
- Top graph: even degree and negative L.C. - Bottom graph: odd degree and negative L.C.
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question $f(x)=\\begin{cases}-(x + 8)^2 + 4&\\text{for }x\\leq -5\\\\4&…
$-5$
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15 what is the domain, range, intervals of increase and decrease for th…
Domain: $[-5, 4]$ Range: $[-3, 3]$ Intervals of increase: $(-3, 0), (3, 4)$ Intervals of decrease: $(-5, -3), (0, 3)$
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watch this video if you need help completing this question!!! (1 point)…
The y-intercept of the line is $-4$ The slope of the line is $\frac{2}{3}$ $y=\frac{2}{3}x + (-4)$ or $y=\frac{2}{3}x - 4$
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$f(x) = \\log_{1/3}x$, $g(x) = \\log_{1/3} (-x)+6$ the graph of $g$ is …
The graph of $g$ is a **reflection** in the **$y$-axis**, followed by a translation **6** units **up** of the graph of $f$.
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$f(x) = log_4 x$, $g(x) = 3 log_4 x - 5$ the graph of $g$ is a $\boldsy…
The graph of $g$ is a **vertical stretch** by a factor of $\boldsymbol{3}$, followed by a translation $\boldsymbol{down}$ $\boldsymbol{5}$ units of the graph of $f$.
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11 given the graph, find the following key features. positive interval:…
Positive Interval: \(\boldsymbol{(-2, 1) \cup (2, \infty)}\) Negative Interval: \(\boldsymbol{(-\infty, -2) \cup (1, 2)}\)
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$f(x)=0.5^{x}$, $g(x)=6(0.5)^{x+5}-2$ the graph of $g$ is a $square$ by…
The graph of $g$ is a **vertical stretch** by a factor of $\boldsymbol{6}$, followed by a translation $\boldsymbol{5}$ units left and 2 units $\boldsymbol{down}$ of the graph of $…
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8 over which interval is the function decreasing? a ${-4, -1, 2, 3}$ b …
D. $(-\infty,-3), (-1, 0.9), (2.6, +\infty)$
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practice with trigonometric ratios sp 26 fill in the blank. express you…
$\frac{12}{5}$
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part a. describe the transformation of $f$ represented by $g$. $f(x)=\\…
The graph of $g$ is a **reflection** in the **$y$-axis**, followed by a translation **6** units **up** of the graph of $f$.
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solve the following system of equations graphically on the set of axes …
The solution (intersection point of the two lines) is $(3, -5)$. To graph: 1. Plot the line $y=\frac{2}{3}x-7$ using points $(0, -7)$ and $(10.5, 0)$, then draw a line through the…
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solve the following system of equations graphically on the set of axes …
The solution (intersection point of the two lines) is $(-4, -6)$. To graph: 1. For $y=-\frac{1}{4}x-7$, plot $(0, -7)$ and $(-28, 0)$, then draw the line through them. 2. For $y=x…
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solve the following system of equations graphically on the set of axes …
The solution (intersection point) is $(-4, -6)$ To graph: 1. For $y=-\frac{1}{4}x-7$, plot $(0, -7)$ and $(-28, 0)$, then draw the line through them. 2. For $y=x-2$, plot $(0, -2)…
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1. add these numbers using the breaking down method: a) $125 + 423$ b) …
a) $548$ b) $796$ c) $1099$ d) $669$ e) $799$ f) $449$ --- ### 2. Add these numbers using the adding on method:
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q3 find the zeros/roots $h(x)=x^3-7x^2+4x-28$ q4 write a polynomial fun…
Real root: $x = \frac{7}{3} + \sqrt[3]{\frac{1163}{54}+\sqrt{\frac{1149957}{2916}}} + \sqrt[3]{\frac{1163}{54}-\sqrt{\frac{1149957}{2916}}}$ Complex conjugate roots: $x=\frac{(7-r…
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how to solve your problem $25\\frac{2}{3}(4x - 12)$ solve the equation
$x = \frac{56}{3}$ or $18\frac{2}{3}$
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somewhat confident not confident how did this decision affect the prote…
Speech was limited if it posed a danger to public safety.
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pemdas 1.) $7 + 2 \\times 3 =$ 2.) $(10 - 4) \\div 2 =$ 3.) $3^2 - 4 + …
1. $13$ 2. $3$ 3. $13$ 4. $19$ 5. $36$ 6. $13$
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iii. true or false 1. joseph stalin used propaganda and intimidation to…
One goal of communism is to create equality so everyone shares wealth and resources. --- ### Para las preguntas de Verdadero o Falso:
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2) $y = x + 5$
The graph of $y = x + 5$ is a straight line passing through points such as $(0,5)$, $(1,6)$, and $(-1,4)$, with a slope of 1 and y-intercept at $(0,5)$.
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• the president is commander and chief of the military• congress passes…
A. separation of powers
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math 1b hw: graphing lines using slope / slope-int. form count the slop…
1. Slopes: Section 4: $-1$, Section 5: $-\frac{4}{3}$, Section 6: $\frac{2}{3}$ 2. Steepest section: Section 5, since its absolute slope $\frac{4}{3}$ is the largest. 3. Error Ana…
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find the output of the function $y = -3x - 7$ when the input is -5. (1 …
8
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a student is writing an argument that offering more art and theater cla…
- Students who take art and theater classes score an average of 35 points higher on the verbal SAT test. - Experts agree that art and theater help students build self-confidence a…
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what was herbert hoovers response to the stock market crash of 1929? he…
None of the provided options are correct. (Note: The accurate context is that Herbert Hoover pursued limited, voluntary business and local relief measures, while the "New Deal" wa…
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7. sandra took her broken laptop to be repaired. the total repair cost …
a) Let $x$ represent the number of labour hours (where $x\geq0$), and let $C(x)$ represent the total repair cost in dollars. $C(x) = 18x + 30$ b) Domain: $0\leq x\leq10$ (where $x…
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an employee is writing a memo urging her company to offer employees fle…
C. a quote from an employee who got in trouble for coming into work late
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3) $y=-\frac{1}{7}x-3$ $y=4$ 4) $y=-\frac{2}{3}x-2$ $y=-\frac{8}{3}x+4$
1. Solution for system 3: $(-49, 4)$ 2. Solution for system 4: $(3, -4)$ To graph: - For $y=-\frac{1}{7}x - 3$: use y-intercept $(0, -3)$ and slope $\frac{-1}{7}$; for $y=4$, draw…
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multiply: (change improper fractions to mixed numbers. reduce.) (1) $\f…
(13) $15$ (14) $17\frac{1}{3}$ --- ### Verified Answers for Completed Problems: (1) $\frac{3}{20}$ (2) $\frac{1}{4}$ (3) $\frac{9}{22}$ (4) $\frac{1}{4}$ (5) $\frac{5}{24}$ (6) $1…
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the acute angles in a right triangle are $\theta$ and $phi$. if $sin ph…
0.25
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example 4 exponential decay banks in banking, a dormant account is one …
## Part A: The equation is $\boldsymbol{y = 1609(0.992)^t}$, where $y$ is the balance in the account after $t$ months. ## Part B: The balance in the account after a year is about …
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historical context: the town of eatonville, florida zora neale hurston …
1. Zora Neale Hurston likely chose Eatonville as the setting for *Their Eyes Were Watching God* because it was the first incorporated all-Black community in the United States, a s…
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$int_{0}^{8} \frac{dx}{sqrt{1+sqrt3{x}}}$
$4\sqrt{2} - 2$
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the twenty-seventh amendment is the most recent amendment to the consti…
## Part A Congress has two key roles: 1) It proposes constitutional amendments (it first put forward the 27th Amendment in 1789 as part of 12 initial proposals). 2) It establishes…
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read the sentences below, filling in the blanks with items from this li…
1. eight-hour workday 2. Pullman 3. American Federation of Labor 4. Triangle Shirtwaist 5. Industrial Workers of the World 6. monopolies 7. Pullman Strike 8. Taft-Hartley Act 9. a…
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17. (a) $f(x) = \\frac{1 - e^{x^2}}{1 - e^{1 - x^2}}$ domain: $1 - e^{1…
All real numbers except $x=1$ and $x=-1$, or in interval notation: $(-\infty, -1) \cup (-1, 1) \cup (1, +\infty)$
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14. $(6x + 8)^{1/2} - 3x = 0$ 15. $(2x^{2} + 8)^{1/4} = x$ 16. $2x^{2/3…
$x=\frac{4}{3}$ --- ### Problem 15: $(2x^2 + 8)^{1/4} = x$
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16. starting with the graph of $y = e^x$, find the equation of the grap…
(a) $y = 8 - e^x$ (b) $y = e^{4-x}$
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15. starting with the graph of $y = e^x$, write the equation of the gra…
(a) $y = e^x - 2$ (b) $y = e^{x-2}$ (c) $y = -e^x$ (d) $y = e^{-x}$ (e) $y = -e^{-x}$
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in exercises 19-24, use the graphs of $f$ and $h$ to describe the trans…
19. The graph of $h(x)$ is a horizontal compression of the graph of $f(x)$ by a factor of $\frac{1}{3}$. 20. The graph of $h(x)$ is a vertical compression of the graph of $f(x)$ b…
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question find the equation of a line parallel to $2y = 14 - 3x$ that pa…
$y = -\frac{3}{2}x - 1$
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question find the equation of a line perpendicular to $y = -\\frac{1}{2…
$\boldsymbol{y - 7 = 2(x - 1)}$
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the functions $f$ and $g$ are defined as follows. $f(x)=-5x-1$ $g(x)=3x…
$f(7) = -36$ $g(-4) = -187$
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question the function $y = f(x)$ is graphed below. what is the average …
2
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question the function $y = f(x)$ is graphed below. what is the average …
1
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the function $y = f(x)$ is graphed below. what is the average rate of c…
60
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question the function $y = f(x)$ is graphed below. what is the average …
$-1.6$ or $\boldsymbol{-\frac{8}{5}}$
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$((10 - 6 + 5) div 9) \times 2$
2
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according to the drafters of the declaration of independence, how did t…
C. By creating laws that made acquiring land difficult
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$20 cdot \frac{3}{4} =$
15
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$((10 - 6 + 5) div 9) \times 2$
2
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$((10 - 6 + 5) div 9) \times 2$
2
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$((10 - 6 + 5) div 9) \times 2$
2
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$v(t) = t^4 - 2t^3 - 4t$ what is the particles velocity $v(t)$ at $t = …
$v(1) = -5$ $a(1) = -6$ The particle is speeding up.
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log with base \e\ ($\\log_e x$) is referred to as... common logarithm b…
natural logarithm
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name ____ teacher ____ period ____topic 5 test: rational exponents and …
1. $3xy^3$ 2. $3\sqrt{2x}$ 3. C. $\sqrt[11]{121}$ 4. D. $y=-9+\sqrt{x-3}$ 5. B. $17^{\frac{4}{3}}$ 6. A. $(-x)^{-\frac{3}{5}}$ 7. $f^{-1}(x)=\pm\frac{\sqrt[6]{x+1}}{2}$ 8. (Graph …
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svlc algebra iii - standard (15261) exponential growth functions gerald…
The conclusion is incorrect because the range is limited to the set of positive real numbers.
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snc.algebra iii - standard (10/29)exponential growth functionsgeraldine…
1. Statement 1 is incorrect because the y-values are increased by 2, not doubled 2. Statement 2 is incorrect because the y-values are doubled, not halved 3. The conclusion is inco…
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algebra 1b - standard 15281exponential growth functionsseveral ordered …
The domain is the set of real numbers, and the range is $y > 0$.
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multiply. $70.6 \\times 53.9$
3805.34
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8. a) on what intervals of x is $f(x)$ increasing? b) on what intervals…
a) $(-\infty, -1)$ b) $(-1, \infty)$ c) $(-\infty, -3)$ --- ### Problem 9
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7 rewrite the following logs with base 10: $log_{26} 18 = square$ $log_…
$\log_{26} 18 = \frac{\log_{10} 18}{\log_{10} 26}$ $\log_{99} 32 = \frac{\log_{10} 32}{\log_{10} 99}$ $\log_{12} 4 = \frac{\log_{10} 4}{\log_{10} 12}$
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1. click the button 2. type \log\ in the first box, then your base in t…
$b^e = a$
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3. a) on what intervals of x is f(x) positive? b) on what intervals of …
a) $x > 0$ or $(0, \infty)$ b) $-2 < x < 2$ or $(-2, 2)$ c) $-2 < x < 2$ or $(-2, 2)$ --- ### Problem 4
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multiply. answer as a mixed number in simplest form $3\\frac{1}{3} \\ti…
The whole number part is $\boldsymbol{4}$, and the full mixed number is $4\frac{2}{3}$
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graph the equation. $y=2x+1$ use the graphing tool to graph the line. u…
The line passes through points such as $(0,1)$ and $(1,3)$, extending infinitely in both directions on the coordinate grid.
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gebra ii sem 2 1.9.3 quiz: finding vertical asymptotes given the graph …
B. \(F(x)\) is a very large positive number
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example there are 4 boxes of printer paper to be divided equally among …
Number Line A (the first number line marked with 0, 1, 2, 3, 4, with each whole divided into 6 equal segments)
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exponential growth functions the graph represents the function $f(x) = …
- The graph will increase at a slower rate. - The y-values will continue to increase as x-increases.
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$y = \\frac{5}{3}x$ $y = 2x - 1$ click to select points on the graph.
For $y=\frac{5}{3}x$, plot points $(0, 0)$ and $(3, 5)$, then draw a line through them. For $y=2x-1$, plot points $(0, -1)$ and $(3, 5)$, then draw a line through them. The lines …
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how would the graph change if the $b$ value in the equation is decrease…
D. The graph will increase at a slower rate. E. The $y$-values will continue to increase as $x$-increases.
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bra ii sem 2 1.9.3 quiz: finding vertical asymptotes question 7 of 10 w…
A. $f(x)=\frac{1}{x}$
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1.9.3 quiz: finding vertical asymptotes question 6 of 10 for the functi…
A. -0.01 is **not** a valid value. The function $f(x)=\frac{1}{x}$ produces values with very large magnitude (positive or negative) when $x$ is close to 0. *Note: If other options…