微積分
極限、導関数、最適化、関数挙動。
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shawna is graphing the function $f(x) = 3(4)^x$. she begins by plotting…
The graph with the point plotted at $(0, 3)$ (the rightmost option, labeled IV) is the correct initial step.
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exponential growth functions which is the graph of $f(x) = 5(2)^x$?
The fourth graph (rightmost one, passing through (0,5) and (1,10))
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exponential growth functions keshawn is asked to compare and contrast t…
- The range of $g(x)$ is $y > 0$ - The domain of both functions is all real numbers
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here is the graph of $g(r)$. determine the average rate of change for e…
| Interval | Average Rate of Change | |------------------------|------------------------| | $r=-2$ to $r=1$ | $\frac{-1}{3}$ | | $r=-2$ to $r=5$ | $\frac{-4}{7}$ | | $r=-2$ to $r=…
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you estimated the answer to be 8. where can you place the decimal point…
$8.36$
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$\\begin{array}{r}38\\\\×22\\hline76\\\\+760\\hline□□□\\end{array}$
8 3 6
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now solve for the second partial product, and look at one place value a…
The second partial product is 760, so the blanks are filled with $\boldsymbol{6}$ and $\boldsymbol{0}$ (resulting in the line showing 760, with the 7 under the placeholder "1").
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complete the table to vertically stretch the parent function $f(x)=x^3$…
The completed table values are: - Missing coefficient: $3$ - $y$ when $x=1$: $3$ - $y$ when $x=2$: $24$ Filled table: | $x$ | $y=3x^3$ | |-----|----------| | 0 | 0 | | 1 | 3 | | 2…
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valeria and thiago disagree about the domain of $f(x)$.- valeria says t…
Correct choice: Valeria's
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find the rate of change of the linear function shown in the graph. then…
Rate of change: $-\frac{1}{2}$ Initial value: $2$
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problem 8: spiral review here is the graph of $g(r)$. determine the ave…
| Interval | Average Rate of Change | |----------|------------------------| | $r=-2$ to $r=1$ | $\boldsymbol{-\frac{1}{3}}$ | | $r=-2$ to $r=5$ | $\boldsymbol{-\frac{4}{7}}$ | | $…
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find the rate of change and initial value for the linear function. the …
Rate of change: $-1$ Initial value: $5$
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using the correct order of operations $8 \\times (10 - 6) \\div 2 + 4$
20
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ons worksheet -- order of operations simplify each expression usin $(3 …
2
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graph the equation $y = -x^2 - 2x + 8$ on the accompanying set of axes.…
Plotted points: $(-4,0), (2,0), (-1,9), (0,8), (-2,8)$ Equation of the axis of symmetry: $x=-1$
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graph the equation $y = x^2 + 4x + 3$ on the accompanying set of axes. …
The 5 points to plot are $(-4, 3)$, $(-3, 0)$, $(-2, -1)$, $(-1, 0)$, $(0, 3)$. The roots of $x^2 + 4x + 3 = 0$ are $x=-3$ and $x=-1$.
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ian finds the area of the rectangle shown by adding 4+4+4+4+4+4.ray fin…
1. C. Both Ian’s and Ray’s methods are correct. 2. D. 3×6, because the order of the numbers does not matter in multiplication
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graph the equation $y = -x^2 - 10x - 24$ on the accompanying set of axe…
### 5 Points to Plot: $(-7, -3)$, $(-6, 0)$, $(-5, 1)$, $(-4, 0)$, $(-3, -3)$ ### Equation of Axis of Symmetry: $x=-5$
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question evaluate: $log_{81} \frac{1}{27}$ answer
$\frac{-3}{4}$
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question graph the equation $y = x^2 - 10x + 16$ on the accompanying se…
Plotted points: $(1,7)$, $(2,0)$, $(5,-9)$, $(8,0)$, $(9,7)$ Equation of the axis of symmetry: $x=5$
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6. $4\\frac{1}{5}-2\\frac{1}{4}=$
$1\frac{19}{20}$
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name: kaliah salinasdate: feb 10 20267.3 exponential functions: charact…
a) Day 3 number of bacteria: 1500 b) Day 6 number of bacteria: 187500 c) $f(x) = 12 \cdot 5^x$ d) Exponential growth y-intercept: $(0, 12)$ --- ### Problem 2
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$d(t) = \\frac{5}{6}x + 4$ evaluate $d(12)$ type answer here. © math by…
14
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f(x) = -2x + 5 evaluate f(-4) type answer here.
13
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at says \type answer here.\ if you answer correctl you get to the \fini…
$-10$
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type answer here. $b(t) = 4t^3 - t^2$ evaluate $b(-2)$ type answer here.
$-36$
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directions: study the information and graphs, read each question, and c…
13. A. Revolving credit stayed lower and steadier than in previous years, and non-revolving credit spiked upward. 14. A. Consumer resources and confidence are down, so fewer peopl…
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type answer here. $b(t) = 4t^3 - t^2$ evaluate $b(-2)$ type answer here.
$-36$
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$g(y) = y^2 - 3y$ evaluate $g(6)$
18
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$f(x) = \\frac{3}{4}x - 3$ evaluate $f(-8)$ type answer here.
$-9$
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$f(x) = \\frac{3}{4}x - 3$ evaluate $f(-8)$ type answer here.
$-9$
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$f(x) = -3x - 4$ evaluate $f(-2)$
$2$
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if $f(x)$ is an exponential function of the form of $y = ab^{x}$ where …
$21.5$
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question if $f(x)$ is an exponential function of the form of $y = ab^{x…
21.2
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graph the following function. $y = 5 \\cdot 2^{x}$ show your work here …
- Horizontal asymptote: $y=0$ - Plotted points: $(-2, 1.25)$, $(-1, 2.5)$, $(0, 5)$, $(1, 10)$ - The graph is an increasing exponential curve that approaches the x-axis (from abov…
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multiple-choice question using the function below. $g(x)=2(6)^x$ calcul…
$m = 35$
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question write an exponential function in the form $y = ab^x$ that goes…
$y=13(2)^x$
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consider the definite integral $int_{0}^{1} xe^{4x^{2}+b}dx$, where $b$…
The substituted definite integral is $\boldsymbol{\int_{b}^{4+b} \frac{1}{8}e^u du}$
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consider the definite integral $int_{0}^{1} xe^{4x^{2}+b}dx$, where $b$…
The substituted definite integral is $\boldsymbol{\int_{b}^{4+b} \frac{1}{8}e^u du}$
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20. given the exponential function: $f(x) = 5 \\cdot 2^{x-2} + 1$, expl…
- The factor 5 vertically stretches the parent exponential function $2^x$ by a factor of 5. - The $-2$ in the exponent shifts the parent function 2 units to the right. - The $+1$ …
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graph this function:$f(x) = -2x - 16$graph this function:$f(x) = \\frac…
1. For $f(x) = -2x - 16$: - Y-intercept: $(0, -16)$ - X-intercept: $(-8, 0)$ - Draw a straight line through these two points, extending across the grid. 2. For $f(x) = \frac{1}{2}…
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homework 2: 1.5 substitution score: 18/35 answered: 6/9 question 7 cons…
a) $x^3 + 4$ b) $3x^2 dx$ c) Lower limit: $12$, Integrand: $\frac{1}{3u^{14}}$, Upper limit: $220$ Transformed integral: $\boldsymbol{\int_{12}^{220} \frac{1}{3u^{14}} du}$
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unit 4 dividing fractions: end of unit study guide for all questions: w…
1. 32 square inches 2. $\frac{3}{5}$ 3. $\frac{5}{7}$ 4. $3$ 5. $6$ 6. $2\frac{1}{12}$ o $\frac{25}{12}$ 7. $5\frac{1}{7}$ o $\frac{36}{7}$
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homework 2: 1.5 substitution score: 14/35 answered: 5/9 question 6 cons…
a) $u = x^7 + 7$ $du = 7x^6 dx$ c) $\frac{1}{7} u^{1/5} du$ (or $\frac{1}{7} \sqrt[5]{u} du$)
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select the best description of the following exponential equation. $f(x…
Growing by 470% with every unit of $x$.
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homework 2: 1.5 substitution score: 10/35 answered: 4/9 question 5 cons…
a) $u = 1 + 9x^8$ $du = 72x^7 dx$ c) $\frac{1}{9} \int u^{-\frac{1}{2}} du$ d) $\frac{2}{9}\sqrt{1 + 9x^8}$
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homework 2: 1.5 substitution score: 6/35 answered: 3/9 progress saved q…
a) $u = \sin(x)$ $du = \cos(x) dx$ c) $\int u^{27} du$ d) $\frac{\sin^{28}(x)}{28}$
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estimate the sum. $14\\frac{4}{5} + 14\\frac{5}{17} \\approx \\square$ …
29
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homework 2: 1.5 substitution score: 6/35 answered: 3/9 progress saved q…
a) $u = \sin(x)$ $du = \cos(x) dx$ c) $\int u^{27} du$ d) $\frac{\sin^{28}(x)}{28}$
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consider the integral below.$int \frac{7}{9x + 3}dx$which integral corr…
$\boldsymbol{\int \frac{7}{9u} du}$
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lines 1-14 from the song \bohemian rhapsody\ by queen is this the real …
9. D. Guilt and fear 10. A. The narrator realizes their life has been permanently altered 11. B. Shows that the narrator has accepted the situation and the consequences of their a…
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score: 0/35 answered: 0/9 question 1 consider the integral below. $int …
$\boldsymbol{\int \frac{4u^{-8}}{7}du}$
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round to the nearest whole number. $9\\frac{1}{5} \\approx \\square$ ch…
9
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$\\frac{12}{14} \\times \\frac{1}{4} =$
$\frac{3}{14}$
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round to the nearest whole number. $9\\frac{1}{5} \\approx \\square$ ch…
9
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round to the nearest whole number. $18\\frac{10}{19} \\approx \\square$…
19
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$1.5 cdot 2^{1}$
3
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15. given the function below, fill in the table of values and use the t…
### Completed Table: | $x$ | $-2x$ | $y=-2x+1$ | |-----|-------|-----------| | $-3$ | $6$ | $7$ | | $-2$ | $4$ | $5$ | | $-1$ | $2$ | $3$ | | $0$ | $0$ | $1$ | | $1$ | $-2$ | $-1$…
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look at this graph: what is the y-intercept?
$-7$
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the function $y = f(x)$ is graphed below. what is the average rate of c…
$-1.6$ or $\boldsymbol{-\frac{8}{5}}$
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exponential functions name complete the table and then graph the expone…
Tabla completada: | $x$ | $y$ | |-----|-----| | -2 | $-\frac{1}{4}$ | | -1 | $-\frac{1}{2}$ | | 0 | $-1$ | | 1 | $-2$ | | 2 | $-4$ | | 3 | $-8$ | | 4 | $-16$ | Para graficar: Marc…
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given the function $g(x) = x^2 - 10x + 18$, determine the average rate …
$2$
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14. given the function below, fill in the table of values and use the t…
### Completed Table: | $x$ | $4x$ | $y=4x-4$ | |-----|------|----------| | $-3$ | $-12$ | $-16$ | | $-2$ | $-8$ | $-12$ | | $-1$ | $-4$ | $-8$ | | $0$ | $0$ | $-4$ | | $1$ | $4$ |…
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match each graph below with the appropriate function. a) $f(x)=3+\\log_…
$\boldsymbol{f(x) = -5 + \log_2 x}$
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let $f(x)=x^2$ and $g(x)=\\sqrt{x}$. find $f \\circ g$ and $g \\circ f$…
a) $(f \circ g)(x) = x$ (for $x\geq0$) b) $(g \circ f)(x) = |x|$ (or $x$ for $x\geq0$) c) $(f \circ g)(3) = 3$ d) $(g \circ f)(3) = 3$
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show all your workfor questions 1 – 4, given the graph of a polynomial …
Factored form: $\boldsymbol{y = -\frac{1}{2}(x+2)^2(x-1)(x-3)}$ Standard form: $\boldsymbol{y = -\frac{1}{2}x^4 + \frac{9}{2}x^2 + 2x - 6}$
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if $f(x) = x^2 - 2$ and $g(x) = x + 4$, find $(f \\circ g)(3)$ and $(g …
a) $(f \circ g)(3) = 47$ b) $(g \circ f)(-3) = 11$
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let $f(x)=3x - 1$, $h(x)= -x - 2$. find $(f \\circ h)(-4)$. $(f \\circ …
5
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select the correct answer. what is the range of the function represente…
C. $y\geq1$
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find the value of each variable using sine and cosine. round your answe…
$m \approx 6.7$ $n \approx 10.4$
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find the value of each variable using sine and cosine. round your answe…
$m \approx 6.7$ $n \approx 10.4$
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an object travels along a straight line. the function $s(t) = t^{4}\\co…
$v(t)=4t^3\cos t - t^4\sin t$
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an object travels along a straight line. the function $s(t) = 10t - 3 \…
$v(t) = 10 - \frac{3}{t}$
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6. which one of the representations below corresponds to the solution s…
C) <corresponding graph with shaded region below solid line and above dashed parabola>
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$f(x) = 3x^2 - 6x + 9$. the given equation defines the function $f$. at…
(1, 6)
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25 26 sat simulation grade 11 math part 1 question 17 $12(x - 6) = 4(y …
3
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b. $5enclose{longdiv} {90.5}$
$18.1$
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choose the correct words to fill in the blanks below. hundredths left d…
1. fractional 2. decimal point 3. thousandths 4. tenths 5. hundredths 6. place value 7. right 8. right
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write seven and nine tenths as a decimal number.
7.9
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name________________________ date: __________ period: ____point-slope f…
### Section 1: 1. $y-7=-4(x-2)$ 2. $y-5=-3(x-12)$ 3. $y+5=6(x-4)$ 4. $y+2=3(x+6)$ 5. $y+6=\frac{1}{2}(x-7)$ 6. $y-2=-\frac{3}{4}(x+8)$ ### Section 2 (Graphing Guidelines): 1. For …
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$left(\frac{2}{3} ight)^0$
$\frac{1}{3}$
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unit ii study guide - framework of the constitution spring 26 articles …
1. Representation in the House is based on **state population** 2. An Amendment needs a **three-fourths ($\frac{3}{4}$)** vote of the States to be ratified.
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exit w26l2 name: 1) write an equation of a linear function on the graph…
$y = \frac{3}{2}x - 4$
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how did consumers weaken the economy in the late 1920s?○ consumers only…
B. Consumers bought too many goods they could not afford.
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5 multiple choice 1 point what is the slope of this line?
The slope of the vertical line is undefined.
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what is the slope of line that goes through the points (1, 5) and (4, 1…
B. 5/3
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the graph shown is a translation of the graph of $f(x)=x^{2}$. write th…
$f(x) = (x-3)^2 + 5$
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determine the following for the graph: minimum: □ maximum: □ what is th…
Minimum: -2 Maximum: 2 What is the amplitude? 2 What is the vertical shift from the parent function? 0
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the graph of function $g$ is a translation of the graph of parent funct…
$g(x)=2^x - 5$
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look at this graph: what is the maximum value of this function?
4
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part 5 of 5 a box is to be made out of a rectangular piece of cardboard…
$192 - 4x^2$
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a box is to be made out of a rectangular piece of cardboard that is 12 …
$4x^3 -56x^2 +192x$
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a box is to be made out of a rectangular piece of cardboard that is 12 …
$4x^3 -56x^2 +192x$
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notes w26l2 1) write an equation of a linear function from a graph 2) w…
1. $y=\frac{3}{5}x+5$ 2. $y=\frac{1}{2}x+5$ 3. $y=3x-6$ 4. $y=-\frac{1}{2}x+2$ 5. $y=-4x-6$ 6. $y=-4x-1$
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given that $f(x)$ is a one-to-one function and $f(3)=-4$, $f(-1)=6$, an…
○ 2
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identify the inverse of the function $f(x) = \\frac{2x-7}{7}$. show all…
$\frac{7x+7}{2}$ (corresponding to the third option)
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you will be asked to upload your handwritten work for questions 1 - 3. …
$x^2 - 5$ (Option A)
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graph the given function. $y=2^{x}$ choose the correct graph on the rig…
B. <The graph that is an increasing exponential curve passing through (0,1), approaching the x-axis as x goes to negative infinity>
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1. the parent function $y = \\log(x)$ has which of the following attrib…
An x intercept at (1, 0) D: $(0, \infty)$ R: $y \in \mathbb{R}$ vertical asymptote at x=0
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the graph of $f(x)-y$ is shown in the coordinate plane. which graph sho…
The third option (the bottom-most blue graph, shifted 3 units right from the original) is the correct graph for \(y = f(x-3)\).