Cálculo
Límites, derivadas, optimización y comportamiento de funciones.
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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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3) $y = -x^2 + 2x + 4$ $a=$ $b=$ $c=$ $x = \\frac{-b}{2a}$ substitute x…
$a=-1$, $b=2$, $c=4$ Vertex: $(1, 5)$
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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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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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write the slope-intercept form of the equation of the line described. 5…
5) $y=3x+2$ 6) $y=2x+5$
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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 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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use poisson distribution to show that $e(x) = \\frac{1}{\\lambda}$ $var…
For a Poisson distribution $X \sim \text{Poisson}(\lambda)$, the expected value and variance are: $E(X) = \lambda$ $\text{Var}(X) = \lambda$
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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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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: 5/10 $\frac{d}{dx}(x^{-5})$ answer $-4x^{-4}$ $-5x…
B. $-5x^{-6}$
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timed problem score: 4/10 $int 6x^{5} dx$ answer $30x^{4}+c$ $x^{6}+c$ …
$x^6 + C$ (Option B)
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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 $(x, g(x)) = (1.00, -6.00)$
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find the derivative of the function. $f(t) = 8t^{2/3} - 7t^{1/3} + 1$ $…
$\frac{16}{3}t^{-1/3} - \frac{7}{3}t^{-2/3}$ (or equivalently $\frac{16}{3t^{1/3}} - \frac{7}{3t^{2/3}}$)
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consider the following function. (if an answer does not exist, enter dn…
Derivative from the left at $x=7$: $-1$ Derivative from the right at $x=7$: $1$ Is the function differentiable at $x=7$? $\text{No}$
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express the function graphed on the axes below as a piecewise function.…
$$ f(x) = \begin{cases} \dfrac{4}{3}x + 4 & \text{for } -6 \leq x < 0 \\\\ -2x + 4 & \text{for } 0 < x < 2 \end{cases} $$
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for this assignment, you submit answers by question parts. the number o…
$y = 12x - 16$ and $y = 12x + 16$
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3: domain, range, and evaluate exponential function z.2 evaluate expone…
6.24
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z.2 evaluate exponential functions lwe use the following function rule …
438.976
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z.2 evaluate exponential functions lwe use the following function rule …
10.37
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domain, range, and evaluate exponential function ixl - domain and range…
-170.22
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domain, range, and evaluate exponential function ixl - domain and range…
390.12
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2 > ★ z.2 evaluate exponential functions lwe use the following function…
-3.83
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w2q3: domain, range, and evaluate exponential function my ixl learning …
-5
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3: domain, range, and evaluate exponential function ixl - domain and ra…
-2.25
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use the properties of logarithms to expand $log(yx^{9}).$ each logarith…
$\log(y) + 9\log(x)$
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z.2 evaluate exponential functions lwe use the following function rule …
-1.97
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fill in the missing values to make the equations true.$log_{8}9 - log_{…
1. $\frac{9}{11}$ 2. $3$ 3. $\frac{1}{9}$
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2q3: domain, range, and evaluate exponential function ixl - domain and …
1
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q3: domain, range, and evaluate exponential function ixl - domain and r…
23.52
-
z.2 evaluate exponential functions lwe use the following function rule …
-64
-
use the following function rule to find $f(1)$. $f(x) = 12^{x} + 8$ $f(…
20
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z.2 evaluate exponential functions lwe use the following function rule …
25
-
zq3: domain, range, and evaluate exponential function ixl - domain and …
-23
-
w2q3: domain, range, and evaluate exponential function my ixl learni > …
$-57$
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w2q3: domain, range, and evaluate exponential function ixl - domain and…
6
-
z.2 evaluate exponential functions lwe use the following function rule …
$-9$
-
z.2 evaluate exponential functions lwe use the following function rule …
54
-
z.2 evaluate exponential functions lwe use the following function rule …
442
-
z.2 evaluate exponential functions lwe use the following function rule …
3075
-
z.2 evaluate exponential functions lwe learn with an exan use the follo…
249
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evaluate each expression. (a) $log_{6}6 = square$ (b) $log_{4}\\frac{1}…
(a) $1$ (b) $-3$
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which statement best describes shah mohammad reza pahlavi?he instituted…
He instituted education and economic reforms, but limited civil liberties.
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5. $log_{3}(x - 2) + log_{3}(x + 4) = 2$
$x = -1 + 3\sqrt{2}$
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5. $log_{3}(x - 2) + log_{3}(x + 4) = 2$ $log_{3} x - 2(x + 4) = 2$
$x = -1 + 3\sqrt{2}$
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problem 7 solve this system of equations. $y = -4x + 2$ $y = 3x - 5$ us…
$x=1$, $y=-2$ (or the ordered pair $(1, -2)$)
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20. $g(7)-15$21. $-4-h(-13)$22. $f(-1)+g(-2)$23. given $f(x)=5-3x$, if …
20. $69$ 21. $36$ 22. $-9$ 23. $x=8$ 24. $x=-6$ 25. $f(-6)=-8$ 26. $f(0)=-2$ 27. $x=-3$ 28. $x=9$
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9. find the value of $h$ at each given input. a. $h(-6) =$ b. $h(0) =$ …
a. $h(-6) = -2$ b. $h(0) = 6$ c. $h(2) = 6$ d. $h(7) = 8$ e. $h(0)+2h(10) = 34$
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13. find a formula for a cubic function $f$ if $f(1) = 6$ and $f(-1) = …
$f(x)=-3x^3+3x^2+6x$ (or factored form $f(x)=-3x(x+1)(x-2)$)