微积分
极限、导数、最优化与函数性质。
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subtract. write each answer in simplest form. 1. a \\begin{array}{r} \\…
$\frac{7}{20}$ ### 1b
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directions: complete each table, then graph 5. $y = 2x$ | $x$ | $y$ | |…
Completed table: | $x$ | $y$ | |-----|-----| | -5 | -10 | | -3 | -6 | | -1 | -2 | | 2 | 4 | | 4 | 8 | Graph: Plot the points $(-5,-10)$, $(-3,-6)$, $(-1,-2)$, $(2,4)$, $(4,8)$ on …
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solve the following system of equations graphically on the set of axes …
The solution to the system is the point of intersection: $(6, 3)$ To graph: 1. Plot the line $y=x-3$ using points $(3,0)$ and $(0,-3)$ 2. Plot the line $x+2y=12$ using points $(12…
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7. what is significant about the way washington and his family received…
Without additional context (e.g., from a specific text or historical source), a precise answer is limited. Generally, the way Washington (George Washington) and his family receive…
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• as ( x ) increases, ( y ) (\boxed{quad}). • the rate of change for ( …
- As $x$ increases, $y$ **increases**. - The rate of change for $y$ as a function of $x$ is **non-constant**, therefore the function is **non-linear (exponential)**. - For all val…
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solve the following system of equations graphically on the set of axes …
The solution to the system is the point $(6, -2)$ (To graph: Plot $(10,0)$ and $(0,-5)$ then draw a line through them for $y=\frac{1}{2}x-5$; plot $(4,0)$ and $(0,4)$ then draw a …
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karl filled up the tank of his truck with 400 liters of fuel and set ou…
The correct relationship is a straight line defined by $F = 400 - 0.8d$, passing through the points $(0, 400)$, $(150, 320)$, and $(500, 0)$ (sloping downward from left to right, …
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solve the following system of equations graphically on the set of axes …
The solution to the system is $(-4, 4)$. To graph: 1. For $y=-\frac{3}{2}x-2$, plot $(0, -2)$ and $(2, -5)$, then draw the line through them. 2. For $y=\frac{1}{2}x+6$, plot $(0, …
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16. convert 1.4 to a simplified mixed number and a percent.
Mixed number: \(1\frac{2}{5}\), Percent: \(140\%\)
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x | y = -2,2x - 1 -1 | 0 | 1 | 2 | 3 |
| $x$ | $y=-2.2x-1$ | |-----|--------------| | -1 | 1.2 | | 0 | -1 | | 1 | -3.2 | | 2 | -5.4 | | 3 | -7.6 |
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(26 - 15)^2 - (15 - 7 - 5)^3
94
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solve the system of equations graphed on the coordinate axes below. $y …
$x=-4, y=-5$ or the point $(-4, -5)$
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2³×9 + (13 - 11)×9
90
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10. today, what are some differences between 14-15 yr olds & 16 yr olds…
- **Hours of Work**: 14 - 15 yr olds have strict limits (3 hrs/school day, 18 hrs/school week; 8 hrs/non - school day, 40 hrs/non - school week). 16 yr olds have fewer hour restri…
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9. the 1st us child labor law was passed in 1938. a. why were some oppo…
1. For 14-15 year olds: Limited to non-hazardous jobs, restricted work hours (e.g., no school hours, max 3 hours on school days, 18 hours/school week, 8 hours on non-school days, …
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what is the range of the function shown in the graph below? (graph of a…
All real numbers less than 0, or in interval notation: $(-\infty, 0)$
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the graph of $y = f(x)$ is shown below. what are all of the real soluti…
$x=-8$, $x=2$, $x=8$
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564 - 92 break a ten break a hundred break a ten and a hundred none of …
Break a hundred
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x | y = 1,25x - 3/4 -1 | -2 0 | 1 | 2 | 3 |
| $x$ | $y$ | |-----|-----| | -1 | -2 | | 0 | $-0.75$ or $-\frac{3}{4}$ | | 1 | $0.5$ or $\frac{1}{2}$ | | 2 | $1.75$ or $\frac{7}{4}$ | | 3 | $3$ |
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graph $f(x) = -\frac{1}{3}x^2 + 4$ on the set of axes below. graph grid…
- Vertex of the function: $(0, 4)$ - Equation of the axis of symmetry: $x=0$ - (Graph: A downward-opening parabola with vertex at $(0,4)$, passing through points like $(\pm3,1)$ a…
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clare solves the quadratic equation $4x^2 + 12x + 58 = 0$. if clare sol…
c) \(x = -1.5\pm3.5i\)
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276 - 28 break a ten break a hundred break a ten and a hundred none of …
A. Break a ten
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3) find $\\log_{7}7^{11}$
11
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3) equation ( y = - 4x + 4 ) 5) equation ( y = - 2x + 2 ) 7) equation (…
1. Para $y=-4x+4$: Recta que pasa por $(0,4)$ y $(1,0)$ 2. Para $y=-2x+2$: Recta que pasa por $(0,2)$ y $(1,0)$ 3. Para $y=-x+2$: Recta que pasa por $(0,2)$ y $(2,0)$
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the graph of y = f(x) is shown below. what are all of the real solution…
$x = -4$, $x = -1$, $x = 0$
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nice job! now answer the questions below. answer attempt 1 out of 2 $f(…
To solve the problem, we analyze the graph of \( f(x) \) and use the Fundamental Theorem of Calculus for the integral of \( f'(x) \). ### Step 1: Find \( f(6) \) From the graph of…
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while the outpost was isolated and vulnerable, rat said, he always felt…
susceptible to attack
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on the set of axes below, graph $f(x) = x^2 + 4x + 1$. state the coordi…
### Table of Values: | $x$ | $y$ | |-----|-----| | -4 | 1 | | -3 | -2 | | -2 | -3 | | -1 | -2 | | 0 | 1 | | 1 | 6 | | 2 | 13 | ### Coordinates of the Minimum: $(-2, -3)$ *(To grap…
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5. the exponential function f can be written in the form $f(x) = a^x$. …
\( 2.5 \) ### Part (b)
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2 miyako plans to make a rectangular garden. she has 50 feet of fencing…
The two equations in the system are dependent (they are the same after simplifying the first equation), so there are infinitely many solutions for \(\ell\) (length) and \(w\) (wid…
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6. \\(8\\enclose{longdiv}{59.2}\\)
7.4
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19) $70.49
$\$3.71$
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use the following function rule to find f(100). f(x) = -4 - 12√x f(100)…
$-124$
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use the following function rule to find f(4). f(x) = -2√x f(4) =
$-4$
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use the following function rule to find f(119). $f(x) = 3\\sqrt{x + 2}$…
33
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use the following function rule to find f(64). f(x) = 7√(185 − x) f(64)…
77
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8. \\(41\\enclose{longdiv}{278.8}\\)
$6.8$
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use the following function rule to find f(81). f(x) = 12√x f(81) =
108
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9. 26.4÷0.01=
2640
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4. \\(36\\overline{)86.4}\\)
$2.4$
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5.30.4÷10=
3.04 (si el problema es 30.4 ÷ 10) o 0.5304 (si el problema es 5.304 ÷ 10). Dado que la imagen tiene "5. 30.4 ÷ 10 =", probablemente es un error de formato y el número es 30.4 ÷ 1…
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3. $41.6 \\div 0.1 = \\underline{\\quad\\quad\\quad\\quad}$ 4. $7.8 \\d…
\( 416 \) ### Problem 4: \( 7.8 \div 0.01 \)
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find the quotient. 3. $41.6 \\div 0.1 = \\underline{\\quad\\quad}$ 4. $…
\( 416 \) ### Problem 4: \( 7.8 \div 0.01 \)
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question 23 how can captain john smiths role at jamestown best be descr…
C. saved the colony from collapse
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5. \\(6\\overline{)\\$6.48}\\)
$\$1.08$
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review you can use the relationship between place - value positions to …
### Parte 1: Resolver \( 29.7 \div 100 \), \( 29.7 \div 10 \), \( 29.7 \div 1 \), \( 29.7 \div 0.1 \), \( 29.7 \div 0.01 \) #### Explicación: Para dividir por potencias de 10 (10,…
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answer attempt 1 out of 3 answer type: interval interval:
$(-\infty, 2)$
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complète la table de valeurs. $f(x) = \\frac{1}{2}\\sqrt{-2x + 6} + 8$ …
- Pour \( x = 1 \), \( f(x) = 9 \) - Pour \( f(x) = 11 \), \( x = -15 \) - Pour \( f(x) = 69 \), \( x = -7439 \) - Pour \( f(x) = 17 \), \( x = -159 \) Donc, la table complétée es…
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what are the zeros to the function? f(x) = -3x³ - 243x *type the number…
0,-9,9
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complete the table. $f(x)=|x|$ | $x$ | $f(x)$ | | --- | --- | | $-2$ | …
| $x$ | $f(x)$ | |-----|--------| | -2 | 2 | | -1 | 1 | | 0 | 0 | | 1 | 1 |
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question what is the value of $\\log_{2} \\frac{1}{16}$? answer attempt…
-4
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divide. give the quotient and remainder. 8222 ÷ 16 quotient: remainder:
Quotient: 513 Remainder: 14
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divide. give the quotient and remainder. 389 ÷ 29
Quotient: 13, Remainder: 12
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green: cc > chapter 1: chapter 1 review exercises > section exercises 1…
\(7296\)
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what is the slope of this line? simplify your answer and write it as a …
1
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divide. give the quotient and remainder. 717 ÷ 7
Quotient: 102, Remainder: 3
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divide. $53.13 \\div 21 = \\square$
\( 2.53 \)
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divide. give the quotient and remainder. 1411 ÷ 2 quotient: remainder:
Quotient: 705 Remainder: 1
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what is the slope of this line? (with a coordinate grid showing a line …
1
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multiply. 8.67 × 0.1
0.867
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multiply. 13.5 × 0.001
0.0135
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ada - attributes of quadratics the height of a golf ball over time in m…
10.8
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the graph of a quadratic function is shown below. identify the domain a…
The domain of the function is \(-2.25\leq x\leq1\). The range of the function is \(0\leq y\leq5\).
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find the quotient: 864 ÷ 27 =
32
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example 2 a network administrator uses the function $f(x) = 5^x$ to mod…
About \( \boldsymbol{4.3} \) hours (or we can say between 4 and 5 hours, with a more precise value around 4.3). If we consider the table and integer hours, since at \( x = 4 \) it…
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4.2 day 1 graph quadratic functions in vertex form ia graph the functio…
--- ### Function 1: $y=\frac{1}{2}(x-3)^2 - 4$ 1. V: $(3, -4)$ 2. AOS: $x=3$ 3. Maximum or Minimum? Minimum 4. Value: $-4$ 5. Table of 5 points: | X | Y | |---|---| | 1 | -2 | | 2…
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détermine les propriétés de la fonction f(x) = 5|2x - 8| + 6. domaine? …
s (pour chaque case) : - Domaine : \( \boldsymbol{\mathbb{R}} \) (ou \( (-\infty, +\infty) \)) - Codomaine : \( \boldsymbol{\mathbb{R}} \) (ou \( (-\infty, +\infty) \)) - Valeur i…
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find the quotient: 936 ÷ 39 =
24
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3. $f(x) = -2x^2 - 4x + 3$ | x | y | |----|----| | -2 | 3 | | -1 | 5 | …
(Corrected for Problem 3): 1. V: $(-1, 5)$ 2. AOS: $x=-1$ 3. Maximum 4. Value: $5$ Table values are correct as given. --- ### For problem 4: $f(x) = \frac{1}{2}x^2 -4x +2$
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Question was provided via image upload.
$\frac{1}{2}\div\frac{1}{4}=\frac{2}{4}\div\boldsymbol{\frac{1}{4}} = 2\div\boldsymbol{1} = \boldsymbol{2}$
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the processing of immigrants at ellis and angel islands reflected ameri…
They diversified the population, enriching national culture.
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the processing centers at ellis and angel islands were gateways for mil…
It spurred growth in manufacturing and infrastructure.
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multiply in columns - 1 digit by 3 digit grades 4 multiplication worksh…
s: 1. \(3224\) 2. \(2680\) 3. \(3584\) 4. \(4355\) 5. \(3905\) 6. \(1592\) 7. \(1024\) 8. \(3936\) 9. \(3228\) 10. \(1314\) 11. \(2116\) 12. \(356\) 13. \(952\) 14. \(5859\) 15. \…
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graph the following linear inequalities on the coordinate plane provide…
(Graphing instructions for each inequality are provided below)
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name functions equations practice learning target success criteria cc.8…
- Rate of change: \( 6 \) dollars per hour - Initial value: \( 4 \) dollars - Equation: \( y = 6x + 4 \) ### Problem 3: Tutoring Service
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76 - 8 = 830 - 90 = 3200 - 400 = 26,000 - 7,000 = 9.1 - 0.3 = 0.21 - 0.…
$68$ $740$ $2800$ $19000$ $8.8$ $0.14$
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select the correct solution for the expression. \\(\\frac{2}{5} + \\fra…
B. $\frac{16}{40} + \frac{15}{40} = \frac{31}{40}$
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do these problems in your head. use paper only for the problems that yo…
$5 + 39 = 44$ $780 + 20 = 800$ $96 + 80 = 176$ $2700 + 300 = 3000$ $10,000 + 99,000 = 109,000$ $0.7 + 4.8 = 5.5$ $5.0 + 7.8 = 12.8$ $0.05 + 0.55 = 0.60$ $0.81 + 0.8 = 1.61$
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passing along information is an important part of the news process. ear…
D. It demonstrates how social media has the capacity to spread information faster than traditional outlets.
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38 + 7 = 990 + 40 = 97 + 80 = 4,000 + 47,000 = 30,000 + 81,000 = 8.7 + …
45 1030 177 51000 111000 9.0 11.6 0.60 1.62
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8. according to the video, what did renaissance writers believe about e…
C. Education could help people lead better, more thoughtful lives
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2. which major belief about human beings changed during the renaissan (…
(C) Humans have dignity, ability, and the power to shape their world
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name myles solve systems of equations by graphing practice solve each s…
(Problem 1): The solution is $(-2, 2)$ --- ## Problem 2 ## Step1: Rewrite first equation $y-\frac{1}{2}x=-1$ becomes $y=\frac{1}{2}x-1$ ## Step2: Analyze line slopes Both lines ha…
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why did the united states limit its role in world affairs?
The United States limited its role in world affairs (often related to isolationism) due to multiple factors: 1. **War Fatigue and Domestic Focus**: After major wars (e.g., World W…
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what transformations of the parent function, y = \\sqrt{x} is the funct…
B. Vertical stretch and a horizontal shift left 5
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complete the table and then graph the function. $f(x) = x + 5$ | $x$ | …
Completed table: | $x$ | $f(x)$ | |-----|--------| | 0 | 5 | | 2 | 7 | | 3 | 8 | | 4 | 9 | To graph the function, plot the points $(0,5)$, $(2,7)$, $(3,8)$, $(4,9)$ on a coordinat…
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create a square root function that is vertically compressed by 1/2 and …
B. \( y = \frac{1}{2}\sqrt{x + 3} \)
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evaluate: \\(\\left\\lfloor \\frac{1}{4} \ ight\ floor\\) options: 0, 1…
1
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complete the table and then graph the function. f(x) = 3x + 1 x f(x) 0 …
The completed table values are already correct: | $x$ | $f(x)$ | |-----|--------| | 0 | 1 | | 1 | 4 | | 2 | 7 | To graph the function, plot the points $(0, 1)$, $(1, 4)$, and $(2,…
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graph the following function on the axes provided. $f(x) = \\begin{case…
(Graph description: Two line segments: 1. A line segment for $f(x) = -x + 1$ with a closed circle at $(-3, 4)$ extending leftwards, passing through $(-10, 11)$. 2. A line segment …
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question 3 the first five triangular numbers are shown, where n represe…
When $n=1$, substitute into $d(n)=\frac{n(n+1)}{2}$: $\frac{1(1+1)}{2}=\frac{2}{2}=1$, which matches the given total number of dots for $n=1$. Thus the statement is true for $n=1$.
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graph the following function on the axes provided. $f(x) = \\begin{case…
The piecewise function is graphed as follows: 1. A line representing $y=x+7$ for $x<-5$, with an open circle at $(-5, 2)$ 2. A closed circle at $(-5, 4)$ 3. A horizontal line $y=1…
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5. $f(x) = |x| + 2$ 6. $f(x) = \\frac{x^2}{x^3 - x}$
The domain of \( f(x) = |x| + 2 \) is \( (-\infty, \infty) \) (all real numbers). ### For \( f(x) = \frac{x^2}{x^3 - x} \) (Problem 6)
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which graph shows $y = -3x + 2$? a b c d select your answer choice belo…
D
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b. $y = \\frac{x + 3}{x^2 - 9}$ factor: $(x + 3)(x - 3)$ domain: range:…
- **Domain**: All real numbers except \( x = -3 \) and \( x = 3 \), i.e., \( (-\infty, -3) \cup (-3, 3) \cup (3, \infty) \) - **Range**: All real numbers except \( y = 0 \), i.e.,…
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do not press submit until all questions are colored green and you have …
I. The function has a vertical asymptote but no horizontal asymptote.
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graph the system of equations on the same coordinate grid shown. identi…
The solution to the system of equations is \(x=-6\) and \(y = - 7\), so the solution point is \((-6,-7)\)
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y = -2\\sqrt{x - 5} what are the transformations of this function compa…
B. Reflected over the x - axis, vertical stretch 2, and translated right 5 (assuming the purple option is B, adjust identifier if needed based on actual option labels, but the des…
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what is the value of the expression $-sqrt3{125^{5}}$? $-sqrt3{125^{5}}…
$-3125$
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$4^3 - 10(5 + 3) \\div 5 \\cdot 2$ 32 use the given values of variables…
32