微積分
極限、導関数、最適化、関数挙動。
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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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$((10 - 6 + 5) div 9) \times 2$
2
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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 …
6
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question the function $y = f(x)$ is graphed below. what is the average …
6
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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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what major aspect or event of world war ii (on the home front or the wa…
I would most like to learn more about the contributions of the Navajo Code Talkers, as their innovative use of the Navajo language to create an unbreakable military code was a cri…
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$((10 - 6 + 5) div 9) \times 2$
2
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- / 2 points the graph of a function is shown together with the tangent…
2
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select the correct answer. which function has a domain of all real numb…
D. $y = (2x)^{\frac{1}{3}} - 7$
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13 drag the tiles to the correct boxes to complete the pairs. match the…
1. $f^{-1}(x)=5x \longrightarrow f(x)=\frac{x}{5}$ 2. $f^{-1}(x)=\frac{x^3}{2} \longrightarrow f(x)=\sqrt[3]{2x}$ 3. $f^{-1}(x)=x+10 \longrightarrow f(x)=x-10$ 4. $f^{-1}(x)=\frac…
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select the correct answer. what is the range of function g? $g(x) = \\s…
B. $y \geq 2$
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select the correct answer. what is the end behavior of this radical fun…
A. As x approaches positive infinity, f(x) approaches negative infinity.
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select the correct answer. which statement is true about the function s…
A. The function is strictly increasing.
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select the correct answer. the equations $y = 2x - 5$ and $y = \\sqrt{3…
B. 1
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select the correct answer. what is the zero of the function represented…
C. $x = -5$
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select the correct answer. consider function f. $f(x) = \\sqrt{x - 1}$ …
C. Y
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4) $y = x^2 + 4x + 3$ $a=$ $b=$ $c=$ $x = \\frac{-b}{2a}$ substitute x …
$a=1$, $b=4$, $c=3$ Vertex: $(-2, -1)$
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4) $y = x^2 + 4x + 3$ $a=$ $b=$ $c=$ $x = \\frac{-b}{2a}$ substitute x …
$a=1$, $b=4$, $c=3$ Vertex: $(-2, -1)$
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find the graph of the following exponential function. $y = -1 \\cdot \\…
The left graph (passing through (0, -1), decreasing as \(x\) increases, going to \(-\infty\) as \(x\) decreases)
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find the graph of the following exponential function. $y = \\frac{1}{2}…
The right-hand graph (increasing curve approaching the x-axis from below, passing near (0, 0.5) and rising steeply)
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find the graph of the following exponential function. $y = -3 \\cdot \\…
The left graph (decreasing curve passing through (0, -3), going to negative infinity as x increases, approaching 0 as x decreases)
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find the graph of the following exponential function. $y = \\frac{1}{2}…
The right-hand graph (increasing curve approaching the x-axis from below, passing near (0, 0.5) and rising steeply)
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evaluate the function for the given value. $y = 6 \\cdot 3^x$ for $x = …
54
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evaluate the function for the given value. $y = 6 \\cdot 3^x$ for $x = …
54
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i can write a linear equation in slope-intercept form. hint: $y = mx + …
1) $y=\frac{7}{5}x - 4$ 2) $y=3x + 2$ 3) $y=2x - 4$ 4) $y=-\frac{1}{2}x + 2$ 5) $y=\frac{4}{5}x + 2$ 6) $y=-\frac{1}{4}x - 3$ 7) $y=-x + 3$ 8) $y=-\frac{1}{2}x + 4$ 9) $y=-\frac{1…
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write the slope-intercept form of the equation of the line described. 1…
15. $y = -8x + 4$ 16. $y = 2x + 1$ 17. $y = -x - 1$ 18. $y = \frac{1}{5}x - 1$ 19. $y = \frac{5}{3}x + 3$ 20. $y = \frac{3}{2}x + \frac{1}{2}$
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name_________2025 kuta software llc. all rights reservedparallel and pe…
1) $2$ 2) $\frac{5}{3}$
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write the piecewise equations for the given graphs. 17.
$$ y= \begin{cases} -2x+1, & 0\leq x\leq3 \\ \frac{1}{4}x-2, & 4\leq x\leq8 \end{cases} $$
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16. $h(x)=\\begin{cases}(x + 4)^2, & x\\leq - 2 \\\\ -2x, & -2 < x \\le…
a. $2$ b. $9$ c. $1$ d. $x=-4$, $x=0$, $x=4$ e. (Graph constructed per the guidelines in Step11: piecewise graph with a left-opening parabola, two line segments, and a right-openi…
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2026sp-math-147-001-16w: precalculus homework: section 3.1 complex numb…
$6i\sqrt{7}$
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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 $y = x^2 + 10x + 21$ on the accompanying set of axes…
The roots of $x^2 + 10x + 21 = 0$ are $\boldsymbol{x=-7}$ and $\boldsymbol{x=-3}$ (The 5 points to plot are: $(-7,0), (-6,-3), (-5,-4), (-4,-3), (-3,0)$)
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graph the following function on the axes provided. $f(x)=\\begin{cases}…
1. A horizontal line at $y=-4$ from $x=-10$ to an open endpoint at $(-5, -4)$. 2. A line starting at an open endpoint at $(3, -3)$ passing through $(5, 5)$ and extending rightward.
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question graph the following function on the axes provided. $f(x)=\\beg…
1. For $x < -5$: Draw a line with an open endpoint at $(-5, -3)$ passing through $(-8, 0)$, extending left indefinitely. 2. For $x > 4$: Draw a horizontal line with an open endpoi…
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omework - comet jakhiry arnold 02/09/ ons and models question 13, 1.1.2…
$[-4, 4]$
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2-95. write a possible equation for each of these graphs. assume that o…
a. $y=\frac{1}{x+1}$ b. $y=x^2 - 4$ c. $y=2(x-1)^2(x+1)$ d. $y=2^x - 2$ e. $y=x - 4$ f. $y=2\sqrt[3]{x+2}+1$ g. $y=(x+3)^2 - 4$ h. $y=-(x+1)(x-4)$ i. $y=2\sqrt[3]{x-1}+1$
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lesson 5 write an equation given the slope a... what is the slope, y-in…
- Slope: $\boldsymbol{-\frac{3}{2}}$ - y-intercept: $\boldsymbol{4}$ - Equation: $\boldsymbol{y=-\frac{3}{2}x+4}$
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pring 2026 jakhiry arnold 02/09/26 ml 1.1 functions and models question…
A. Yes; each input is assigned exactly one output.
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name class date 8-3 practice form k write an equation of the function $…
1. $g(x)=x^2+6$; The graph of the parent function $f(x)=x^2$ is translated 6 units upward. Vertex of $f(x)$ is $(0,0)$, vertex of $g(x)$ is $(0,6)$. 2. $g(x)=(x+4)^2$; The graph o…
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ml 1.1 functions and models homework - cometom/ 8:30 spring 2026jakhiry…
A. Yes; \(D=\{-1, 0, 1, 2, 3\}\), \(R=\{-7, -3, 1, 6, 7\}\)
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w 8:30 spring 2026 ork: mml 1.1 functions and models ork question 6, 1.…
62.4
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the plot below represents the function $f(x)$ evaluate $f(2)$ $f(2) = $…
$f(2)=3$ $x=-2$
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mml 1.1 functions and models homework - comet n.com w 8.30 spring 2026 …
$g(-6)=-40$
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functions and models homework - comet 0 spring 2026 jakhiry arnold 02/ …
56
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2-93. sketch a graph and draw the line of symmetry for the equation $y=…
$x=4$
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1. describe a time fomo has influenced a financial decision of yours. w…
Last year, I saw multiple friends posting about a limited-time flash sale for high-end wireless headphones on social media. Fearing I would miss out on the steep discount and the …
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problem. 5 : compute the following derivative: $\frac{d}{dx}(x^3 - 3x^2…
Problem 5: $3x^2 - 6x - 24$ Problem 6: $f'(x)=-9x^2 - 90x - 225$ Problem 6: $f''(x)=-18x - 90$
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lesson 18 | session 2 name practice using graphs to describe functions …
1. Section B of the graph is a horizontal line parallel to the time (x) axis, so Koko's height (y-value) does not change as time increases, showing her height stays constant. 2. S…
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using rectangles whose height is given by the value of the function at …
88
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using rectangles whose height is given by the value of the function at …
88
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chapter 1post testread each question carefully and choose the best answ…
1. C. allowing for the formation of large corporations 2. H. Protests by farmers and the growth of income disparities between rich and poor led to the formation of an influential …
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question 2 (1 point)determine the symmetry and domain of the polynomial…
Domain: All Real Numbers Symmetry: None
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given the polynomial function, determine the symmetry and positive inte…
Positive: $(-2.88, -0.85) \cup (0.85, 2.88)$ Symmetry: Even
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question the graph of a function is shown below. what is true about the…
it is increasing and non-linear
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the graph of a function is shown below. what is true about the function…
it is increasing and linear
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2-75. if $g(x)=x^2 - 5$, find the value(s) of $x$ so that: a. $g(x)=20$…
a. $x=5$ and $x=-5$ b. $x=\sqrt{11}$ and $x=-\sqrt{11}$
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use finite approximations to estimate the area under the graph of the f…
a. $\boldsymbol{0}$ b. $\boldsymbol{20.25}$ c. $\boldsymbol{54}$ d. $\boldsymbol{47.25}$
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timed problem score: 9/10 $int x^{5} dx$ answer $\frac{1}{6}x^{6}+c$ $5…
$\frac{1}{6}x^6 + C$
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timed problem score: 8/10 $\frac{d}{dx}(4x^3)$ answer $\frac{4}{3}x^4$ …
$12x^2$
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timed problem score: 8/10 $\frac{d}{dx}(4x^3)$ answer $\frac{4}{3}x^4$ …
$12x^2$
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timed problem score: 9/10 $int x^{5} dx$ answer $\frac{1}{6}x^{6}+c$ $5…
$\frac{1}{6}x^6 + C$
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timed problem score: 3/10 $int 2x^{2} dx$ answer $\frac{2}{3}x^{3}+c$ $…
$\frac{2}{3}x^3 + C$ (Option 1: $\frac{2}{3}x^3 + C$)
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score: 0/10 $\frac{d}{dx}(x^{-3})$ answer $-\frac{1}{4}x^{-4}$ $-3x^{-2…
$-3x^{-4}$
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calculate the integral and write your answer in simplest form. $int \fr…
$\frac{1}{2}x^{\frac{8}{3}} + C$ (or $\frac{1}{2}x^2\sqrt[3]{x^2} + C$)
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10. compute the modulus and argument of each complex number. (4 points)…
a. Modulus: $5$, Argument: $-\frac{\pi}{2}$ (or $\frac{3\pi}{2}$) b. Modulus: $\sqrt{10}$, Argument: $\frac{5\pi}{7}$
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b. identify, graph, and state the symmetries for each polar equation. w…
a. Rose curve with 5 petals; Symmetric with respect to the polar axis; Scale: 1 unit per grid ring. b. Circle; Symmetric with respect to the polar axis; Scale: 0.5 units per grid …
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a graph of a system of two equations is shown. what is the solution of …
$(-3, -2)$
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here is a system of equations.$\begin{cases} y=x-6 \\ y=x-4 end{cases}$…
No solution
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the effects of pontiacs war were limited to the new england region. tru…
False
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what was the importance of jacksonian democracy? ○ it led to the breaki…
A. It led to the breaking of social barriers and institutions.
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find a and b such that f is differentiable everywhere.$f(x)=\begin{case…
$a = 0$ $b = 5$
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ain, range, and evaluate exponential function z.1 domain and range of e…
$\{y \mid y > 0\}$
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what is the slope for the function with the larger slope? mark all that…
B. $\frac{7}{2}$
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find the average rate of change of the function over the given interval…
Average rate of change: $12.2$ Instantaneous rate at left endpoint ($t=3$): $12$ Instantaneous rate at right endpoint ($t=3.1$): $12.4$ The average rate of change is between the i…
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omain, range, and evaluate exponential function what is the domain of t…
all real numbers
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what is the domain of this exponential function? { x | x < -6 } all rea…
all real numbers
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domain, range, and evaluate exponential function what is the range of t…
{y | y < -9}
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what is the range of this exponential function?{y | y ≤ -9}all real num…
$\{y \mid y > -9\}$
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the polynomial function $g$ is defined by $g(x) = -4x^4 - 9x^3 + 2x^2 +…
$(x, g(x)) = (-0.67, -0.73)$ and $(x, g(x)) = (1.00, -6.00)$