Cálculo
Límites, derivadas, optimización y comportamiento de funciones.
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from the graph below, the slope of the line is , and the y-intercept is…
The slope of the line is $\frac{2}{3}$, and the y-intercept is the point $(0, -1)$
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let $f(x) = -x^2 - 5$ and $g(x) = 3x + 2$. find and simplify $(g \\circ…
B. $(g \circ f)(x) = -3x^2 - 13$
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find the derivative of $f(x) = -4x^5 - 11\\sin x + \\frac{7}{x^5}$.$\\b…
$f'(x)= -20x^{4}-11\cos x-\frac{35}{x^{6}}$ (the fourth option)
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multiplying powers of 10 steps: 1. count the zeros in the power of 10. …
① $65.7$ ② $1500$ ③ $5260$ ④ $82$ ⑨ $970.8$ ⑩ $6100$ ⑪ $74000$ ⑫ $280.1$ ⑬ $320$ ⑭ $4405$ ⑮ $0.5$ ⑯ $7240$
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from the graph below, the slope of the line is , and the y-intercept is…
The slope of the line is $\frac{2}{3}$, and the y-intercept is the point $(0, -1)$
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questions 1 through 3 refer to the following. \the work accomplished --…
B. Food prices rose as a result of increased demand for grain from coastal port cities.
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given that $h(x)=x^{3}$, find $(h \\circ h)(-3).$ $(h \\circ h)(-3)=\\s…
$-19683$
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graph the equation. 10. $y - 6 = 3(x - 4)$ 11. $y + 1 = 2(x - 5)$ 12. $…
The graph is a straight line passing through points $(0, -3)$ and $(1, 2)$, extending infinitely in both directions.
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question 9 the slope between the points (6, -12), (15, -3) is blank1...…
Question 9: $1$ Question 10: $-\frac{25}{21}$
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given that $h(x)=x^{3}$, find $(h \\circ h)(-3).$ $(h \\circ h)(-3)=\\s…
$-19683$
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given that $f(x)=6x + 7$ and $g(x)=x^3$, find $(f \\circ g)(-2).$ $(f \…
$-41$
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rewrite $f(x) = |2x + 4| + 1$ as a piecewise function. $f(x)=\\begin{ca…
$f(x)=\begin{cases} -2x - 3 & \text{if } x \leq -2 \\ 2x + 5 & \text{if } x > -2 \end{cases}$
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q 3 which of the following statements are true about the graph of $f(x)…
B. II and IV only
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q2 when compared to $f(x)=e^x$, how does the graph of $g(x)=3e^{x+2}+4$…
D. Vertical stretch of 3, shifted left 2 units, and shifted up 4 units
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without graphing, determine whether the function represents exponential…
The function represents exponential growth. The y-intercept is 4.
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without graphing, determine whether the function represents exponential…
The function represents exponential growth. The y-intercept is 4.
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without graphing, determine whether the function represents exponential…
The function represents exponential decay. The y-intercept is 5
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question 10 find the inflection point(s) for the function $f(x) = -x^5 …
(3,196)
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4. write the equation of a line perpendicular to $y=-2x+1$ that passes …
4. C. $y = \frac{1}{2}x + 2$ 5. A. $y = -3x - 8$ 6. C. -1/2 7. B. -8/5
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what is the domain of $g(x)=6^{-x}$?(type your answer in interval notat…
$(-\infty, \infty)$
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$f(x)=\\begin{cases} 3x+4 & \\text{if } x<2 \\\\ (x-2)^2+3 & \\text{if …
Not continuous at $x=2$ because $\lim_{x \to 2} f(x)$ does not exist
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question 7 mark this question calculate the average rate of change of $…
B. $\frac{1}{4}$
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question 1 (5 points) ✓ saved listen what is the best definition of \un…
b) the state of including or covering all or a whole collectively or distributively without limit or exception
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question 2 find the derivative of $f(x)=(2x^3+3x-12)^6$. $f(x)=6(2x^3+3…
$f'(x)=6(6x^{2}+3)(2x^{3}+3x-12)^{5}$
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the cost function, $c(x)$, in dollars for producing $x$ units is given …
$32.82$
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graph the following piecewise function, determine its range and evaluat…
$f(4)=7$ (Graph: A line $y=-4x-3$ for all $x<0$ with an open circle at $(0,-3)$, and a line $y=2x-1$ for all $x\geq0$ with a closed circle at $(0,-1)$, passing through $(4,7)$)
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solve for $m$. $\frac{e^{2m}}{e^{6}} = e^{10}$
$m = 8$
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which represents the reflection of $f(x) = \\sqrt{x}$ over the x-axis? …
The first table (with values: x=-1: undefined, x=0:0, x=1:-1, x=4:-2) represents the reflection of $f(x)=\sqrt{x}$ over the x-axis.
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10. for what values of $x$ does the graph of $y = 3x^{5} + 10x^{4}$ hav…
B. $x = -2$ only
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which is the graph of $f(x) = \\sqrt{x}$?
The bottom graph (the second option, starting at the origin and curving upward in the first quadrant) is the graph of $f(x)=\sqrt{x}$.
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10. for what values of $x$ does the graph of $y = 3x^{5} + 10x^{4}$ hav…
B. $x = -2$ only
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9. graph $y=2^x - 5$. how does this graph compare to that of $y=2^x$?
The graph of $y=2^x - 5$ is the graph of $y=2^x$ shifted **vertically downward by 5 units**. Specifically: - The horizontal asymptote of $y=2^x$ (which is $y=0$) moves to $y=-5$ f…
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discuss what you notice about the domain, range, intercepts, and asympt…
- Domain: $(-\infty, \infty)$ - Range: $(3, \infty)$ - Intercepts: y-intercept at $(0, 4)$; no real x-intercept - Asymptote: Horizontal asymptote at $y=3$
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8. graph the function and identify all key characteristics: $f(x) = (x …
Dec. Intervals: $(-\infty, 0), (1.5, 2)$
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what you notice about the domain, range, intercepts, and asymptote of $…
- Domain: All real numbers, or $(-\infty, \infty)$ - Range: All real numbers greater than -5, or $(-5, \infty)$ - Intercepts: x-intercept at $(\log_2 5, 0)$, y-intercept at $(0, -…
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9. write in slope intercept form $5x - 3y = -9$ a $y=(3/5)x + 3$ b $y=(…
9. B. $y = (5/3)x + 3$ 10. A. A 11. A. $y=3x+2$
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given the function $f(x)=2x^2 - 3x + 1$, complete the table of values f…
| $x$ | $f(x)$ | |-----|--------| | $-2$ | $15$ | | $-1$ | $6$ | | $0$ | $1$ | | $1$ | $0$ | | $2$ | $3$ |
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5. find the slope. a (-0,-3) b 3/2 c none of the above d -3/2 6. what t…
5. B. 3/2 6. C. Negative 7. B. -20/9 8. A. 2
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given the function $f(x)=2x^2 - 3x + 1$, complete the table of values f…
| $x$ | $f(x)$ | |-----|--------| | $-2$ | $15$ | | $-1$ | $6$ | | $0$ | $1$ | | $1$ | $0$ | | $2$ | $3$ |
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(04.04 lc) read the scenario and determine the type of action. ils ont …
Series of completed events
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question 5 what is the equation of the following line? be sure to scrol…
Question 5: E. $y = -\frac{1}{3}x$ Question 6: B. $y = \frac{3}{2}x$
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forms of quadratics tell whether the quadratic function is in standard …
1. Standard form 2. Vertex form 3. Vertex form 4. Standard form 5. $(7, -1)$ 6. $(-2, -5)$ 7. $(3, 0)$ 8. $(2, 4)$ 9. $(-1, -3)$ 10. $(-4, 0)$ 11. $(5, 1)$ 12. $(-6, 10)$ 13. $(4,…
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question 5 what is the equation of the following line? be sure to scrol…
Question 5: E. $y = -\frac{1}{3}x$ Question 6: B. $y = \frac{3}{2}x$
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8/9 what did jefferson insist on instead of hosting showy and expensive…
Meeting personally with members of Congress and foreign leaders for dinner and conversation
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7/9 what did jefferson do to reduce the size of the federal judiciary? …
He decreased the number of federal judges
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6/9 what did jefferson continue to support during his presidency? the p…
The power of the states
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question 1 (5 points)listenwhat is the best definition of \universality…
b) the state of including or covering all or a whole collectively or distributively without limit or exception
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multiple-choice question how do subsidies from the government result in…
By incentivizing producers to overproduce the product
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passage belowjohn adams and thomas jefferson didnt actually come to blo…
A limited government and lower taxes
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4/9 what did jefferson try to soothe in his inaugural address? fears of…
Fears of a civil war
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#6 staar practice question: this list identifies interest groups in the…
C. They have worked to expand economic opportunities.
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3/9 where was jeffersons inauguration held? philadelphia new york city …
Washington, D.C.
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consider the function $f(x) = -\frac{1}{3}log_{2}(4x) + 2$. which of th…
D. Reflection across the x-axis, vertical shrink by a factor of \(\frac{1}{3}\), horizontal shrink by a factor of \(\frac{1}{4}\), vertical shift up 2 units.
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2/9 how was the tie between jefferson and burr broken? 1 by a duel 2 by…
3. By the Democratic-Republican-dominated House of Representatives
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1/9 who were the frontrunners in the election of 1800? 1 john adams and…
1. John Adams and Thomas Jefferson
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describe the transformation of the parent function $h(x)=3^{x}$ to turn…
Reflection across the y-axis, horizontal stretch by a factor of 2, vertical stretch by a factor of 2, vertical shift downwards by 5 units.
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2. let f be the function given by $f(x) = x^3 - 2x^2 + 5x - 16$. for wh…
D. 3
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add the integers without a calculator. $12 + (-1)$ resources read it su…
1. $11$ 2. $-9$
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given: $y = 2x^2 - 4x + 1$ solve for $y$ when $x = -2$
$17$
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3.) $z(t) = 2t^2 + 7t - 4$ $z(-1) = 2(-1)^2 + 7(-1) - 4 = $ $z(t) = 2t^…
$z(-1) = -9$, $z(4) = 56$
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evaluate: $g(f(-6))$ $y = f(x)$ $y = g(x)$ answer attempt 1 out of 2 su…
$-6$
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what is the slope of this line?
$-1$
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17) $-8sqrt{6} cdot sqrt{21}$ 18) $sqrt{5}$
$-24\sqrt{14}$
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15) $sqrt{42} cdot sqrt{12}$
$6\sqrt{14}$
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write an exponential function for the graph. write the function in the …
$y=2^x$
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question 12 suppose that $f$ is a function given as $f(x) = \\frac{1}{2…
$f(x+h)=\boldsymbol{\frac{1}{2x+2h-5}}$ $\frac{f(x+h)-f(x)}{h}=\boldsymbol{\frac{-2}{(2x+2h-5)(2x-5)}}$ $f'(x)=\boldsymbol{\frac{-2}{(2x-5)^2}}$
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which blue function is the graph of the slopes of the red function? a b…
C
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question help: video submit question 0/1 pt 5 19 question 7 given $f(x)…
$\boldsymbol{-\frac{2}{x^2}}$
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question 6 given $f(x)=4-4x^2$, find $f(x)$ using the limit definition …
$-8x$
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question 6 given $f(x)=4-4x^2$, find $f(x)$ using the limit definition …
$-8x$
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find the value of $f(8)$. $y = f(x)$ answer attempt 1 out of 2 submit a…
$-8$
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select all the points at which the graph above is not differentiable-4-…
$\boldsymbol{\square -1}$ $\boldsymbol{\square 2}$
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based on the graph, circle the ordered pair that is a solution to the e…
31) $\boldsymbol{(0, .3)}$ 32) $\boldsymbol{(-0.61, 0)}$ 33) - The line of symmetry of $f(x)$ is $x=2$: $\boldsymbol{FALSE}$ - The maximum of the graph is at $(-3, 4)$: $\boldsymb…
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b. ¿quién lo diría? lee cada enunciado. si suena a algo que un federali…
1. F (Antifederalista: temían el poder federal excesivo) 2. F (Antifederalista: temían que el gobierno federal dominara a los estados) 3. F (Antifederalista: criticaban que no hub…
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question 4 on a représenté une fonction périodique dans le plan cartési…
a) $4$ b) 1) $6$ 2) $0$ 3) $6$ c) 1) $x=12$ et $x=16$ 2) $x=26$, $x=30$ et $x=34$ 3) $x=4k\pm1$, $k\in\mathbb{Z}$
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raph of $f(x)$ is shown below. estimate and list the value(s) of $x$ wh…
$x = -3$ and $x = 3$
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question 8 let $f(x) = \\sqrt{18 - x}$ the slope of the tangent line to…
The slope of the tangent line is $\boldsymbol{-\frac{1}{6}}$ $m = \boldsymbol{-\frac{1}{6}}$ $b = \boldsymbol{\frac{9}{2}}$ The equation of the tangent line is $\boldsymbol{y = -\…
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question 7 if $f(x)=\\frac{1}{x^2}$, find $f(1)$. question help: video …
$-2$
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question 6 0/1 pt 5 19 details the limit below represents the derivativ…
$f(x) = 5x^4$ $a = 2$
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question 5 the slope of the tangent line to the curve $y=\\frac{2}{x}$ …
Slope: $\boldsymbol{-\frac{2}{81}}$ $m$: $\boldsymbol{-\frac{2}{81}}$ $b$: $\boldsymbol{\frac{4}{9}}$ Equation: $\boldsymbol{y = -\frac{2}{81}x + \frac{4}{9}}$
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question 4 use the limit definition of the derivative to find the insta…
63
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question 3 if $f(x) = 23x + 25$, find $f(-8)$. question help: video sub…
23
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assignment 3.5a pre-calculus assignment: graphing log functions graph t…
7. $1$ 8. $0$ 9. $\frac{\ln 4}{\ln 6}$ --- ### Second Set: Convert Forms
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question 2 given the function $f(x) = -2x^2$ find the difference quotie…
Difference quotient: $\boldsymbol{-4x-2h}$ $f'(x)$: $\boldsymbol{-4x}$ $f'(-2)$: $\boldsymbol{8}$ $f'(0)$: $\boldsymbol{0}$ $f'(1)$: $\boldsymbol{-4}$ For the graph: 1. Plot $f(x)…
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0/1 pt つ 5 19 details question 3 visit this desmos link and interact wi…
0.646
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question 20/1 pt 5 19 detailswhen demonstrating that $lim_{x \to -1} 3x…
$\delta =0.1$, $\delta =0.01$, $\delta = 0.03333333333333333$
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question 1 what word or phrase best fits in the blank below? \if $lim_{…
○ and possibly equal
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question 14 let $f(x)=\\begin{cases} -\\frac{45}{x+5} & \\text{if } x <…
$\lim_{x \to 4^-} f(x) = -5$ $\lim_{x \to 4^+} f(x) = -5$ $f(4) = -11$ Since the above three quantities are **not equal**, we know that $f$ is **discontinuous** at $x=4$. List ALL…
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trazar el gráfico de la función $f(x)=-3x-1$.
The graph is a straight line passing through points $(0, -1)$ and $(1, -4)$, extending infinitely in both directions with a negative slope of $-3$.
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question 13suppose that $f(x)$ is a continuous function with the follow…
1
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find the values of $m$ and $b$ that make $f$ continuous everywhere:$$f(…
$m=6$, $b=36$ --- ### Sketch Notes (for reference): 1. For $x < -4$: Graph the line $y=8-x$ (a line with slope -1, y-intercept 8, with an open circle at $x=-4$, $y=12$) 2. For $x …
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let $f(x)=\\begin{cases}-2x+b & \\text{if } x<2 \\\\ \\frac{-24}{x-b} &…
$8$
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a function $f(x)$ is said to have a jump discontinuity at $x = a$ if:1.…
$\lim_{x \to 6^-} f(x) = 23$ $\lim_{x \to 6^+} f(x) = \frac{1}{7}$ Since the left-hand limit ($23$) and right-hand limit ($\frac{1}{7}$) exist but are not equal, $f(x)$ has a jump…
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question 9 a function $f(x)$ is said to have a removable discontinuity …
$10$
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question 7 let $f(x)=\\begin{cases}mx - 6&\\text{if }x < -3\\\\x^2 + 8x…
$4$
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4 type the correct answer in each box. functions h and k are inverse fu…
\((h \circ k)(3) = 3\) \((k \circ h)(-4b) = -4b\)
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question 7 let $f(x)=\\begin{cases}mx - 6&\\text{if }x < -3\\\\x^2 + 8x…
$4$
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question 5 let $f(x)=\\begin{cases}4x + 11 & \\text{if } x < -2 \\\\ \\…
- $f(-2)$ is defined. - $\lim_{x\to-2} f(x)$ exists. - The function is not continuous at x = -2.
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the graph below is the function $f(x)$ determine which one of the follo…
$\boldsymbol{\lim_{x \to a} f(x) = f(a)}$
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the graph below is the function $f(x)$ select all statements below that…
- $f(2)$ is defined. - $\lim_{x \to 2} f(x)$ exists. - The function is not continuous at x = 2.