Sketch the graph of the piecewise function j(x) using xy-charts, then use the graph to answer parts 3) through 10). (x+ 2)² – 3 if x < -2, if – 2 < x < 2, j(x) --(x – 1)² + 4 if x > 2.

Q: 6(x² + 3) ((x – 3)(x + 3))³ 1 -2x f(x) = f (2) = f (x) = (x – 3)(x + 3) ((г — 3)(х + 3))?

A: Since, the numerator is a constant 1, so, the graph has only one horizontal asymptote which is the…

Q: determine the value of "a" so that f(x) (image) have the line y=x+5 as an asymptote

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Q: . The graph of the function f(x) = ax2 + bx + c has vertexat 10, 22 and passes through the point 11,…

A: We have  fx=ax2+bx+c To find the vertex of the quadratic equation, differentiate it and equate it to…

Q: he domain of the function f(x) = Vx+5 is In(3-x) %3D

A:

Q: Compute all the vertical asymptotes of the function x2 + 1 y = Зх— 2х2 Produce the graph of the…

A: Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of the…

Q: Determine the vertical asymptote(s) of each function. If none exists, state that fact. x + 4 2x - 3…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Sketch a graph of the function f(x) 2 sin(2x). %3D -77/8-31/4-5n/8-/2 -3/8-7/4-T/8 t/4 3n/8- /25/8…

A: Given function is f(x)=-2sin(2x)We know that period of sin(x)=2πThe period of sin(2x) will be π and…

Q: 8. Find all the points in the interval [1,5] for f(x) = -x² + 6x – 6 such that the function verifies…

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Q: Find all asymptotes of the function x² – x + 1 y = х — 1

A: Here we have to find the asymptote of the function y=x2-x+1x-1.

Q: Sketch the graph of the piecewise function q(X) using Xy-charts. x+ 3 if x 1.

A: Solution -  We have been q(x) in three forms depending on the domains- q(x)=x+3 ,         if…

Q: Let: f(x)=x² +, f'(x) =2x-- 21 f"x)=2+ 1. Find x- and y- intercepts of the graph of f, if it has…

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Q: Sketch the graph of the piecewise function q(x) using Xy-charts. Зх + 3 ifx -1 1) Complete an…

A: The given function is qx=3x+3   if x≤-12x+4   if x&gt;-1. Let y=3x+3 on (-∞,-1] and y=2x+4 on -1,∞.…

Q: Solve the given equation by selecting the graph of two related functions and finding thelr polnts of…

A: The given equation is equation of parabola with v(3,0) and upward direction

Q: ,for x 1 Discuss the contuniuty of f andf'.

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Q: Sketch the graph of the function g(x) = 3cos(2x) on the interval -2n s x s 2n.

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Q: Find the values of k that make the function continuous. k2 – 22x, x > 11 - f (æ) = kæ, x < 11

A: to find the values of k the function is to be continuous for x=11 value of k is 22 or -11.

Q: 2. Let f(x) = e" + for x E [0,3]. Determine the length of the graph of f. 4e

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Q: Sketch the graph of f(x) = x lxl. Then show that f '(0) exists.

A: A function is a relation which maps each value in domain to exactly one value in range.  For a…

Q: Sketch the graph of f(x) by hand and use your sketch to find the absolute and local maximum and…

A: Graph of f(x) is as follows :

Q: An even function is symmetric with respect to the________

A: An even function is symmetric with respect to the________

Q: Select the graph of a function f that satisfies f' 0 on (-0, -1)U(-1, 0).

A: means f is decreasing for x&gt; - 1   means f(x) is concave up on both sides of x=-1

Q: Sketch a graph of the function f(x) = 3 cos 6 5 4 3 2 1 -8п -7п -бп -5п -4п -3л -2л -π -1 -2 -3 -4…

A: This question is based on graphing a function from its principal function.

Q: 2. Suppose the function f is defined as f(x): vertical asymptote(s) of f.( 6x²-8 (x-2)(x+4)' .Write…

A: As we know that; To calculate the vertical asymptotes, equate the denominator to zero and solve for…

Q: If function g(x) =- is discontinuous at x=a, find the points of (x-a) x2 -1 (x+4)(2x-3)´…

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Q: Find the domain of the function. Express the exact answer using interval notation. f(x) = To enter…

A: Consider the function  f(x)=25x+8

Q: Sketch a graph of the function f(x) : – 2 sin(x + n). - 3- -Зл/2 -5л14 -3T|4 -T/2 -T/4 Зл14 5л14…

A: Graph of sine function

Q: If f(x) = kx' + x² – kx +2, find k such that the graph of f contains the point (2, 12).

A:

Q: Let f (x) = x2 + 3x. Calculate R6, M6, and L6 for f on the interval [2, 5]. Sketch the graph of f…

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Q: Consider the function f(x) = kx", where n is an even, positive integer. %3D (a) (3 points) If k < 0,…

A: Consider the equation

Q: 2. If f(x) = kx' +x² – kx+2, find k such that the graph of f contains the point (2, 12).

A:

Q: form the graph of f(x) into th 5) f(x) = x³ g(x) = -(x – 2)° %3D 3 %3D

A: We have to find

Q: Sketch a graph of the function f(x) = 4 sin %3D - 1 4 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 3. 4 6. 7. 8. 9.…

A: We use Trigonometry table to find out some values to draw graph

Q: 14. Determine if the function f(x)=2x°V4-x* is either even, odd, or neither (even nor odd). Does the…

A:

Q: 13. Use the idea of transfr-mation to sketch the function y = -2f(x+2) + 3 if the graph of y = f(x)…

A: Given: The graph of y=f(x) is

Q: Find the are under the graph of f(x) = 4-x2  on the interval (-2,1)

A: Given, f(x) =4-x2  we have to find the area under the curve on the interval (-2,1)

Q: Which of the following is the domain set of the function f(x.y)= arccos(x² + y² - 3)+In(x² +y² -3) ?

A: In this question, we evaluate the domain of multivariable function and in second part we check the…

Q: Sketch a graph of f. Ay 20 f(x) = 2x 16- Use the graphing tool to graph the function. 12- Click to…

A:

Q: For all x in the domain of the function –* , x+1 this func- tion is equivalent to:

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: Find the value of A such that the line y 1/16 is a horizontal asymptote of the function 2x+ x +1…

A:

Q: Find the domain of the function using interval notation. f(x) = -2x (1- 1) (r – 7) To enter oo, type…

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Q: Sketch a graph of the piecewise defined function. if Jx| s1 l1 if ]x| > 1 A(x) = y 2 2 2 -4 -2 -2 y…

A: Sketch the graph of given function

Q: Prove that the only function whose graph is symmetric with respect to both the y-axis and the origin…

A:

Q: Sketch the graph of the piecewise function q(X) using Xy-charts. x + 3 if x 1. 1) Complete an…

A: To sketch the graph qx=x+3     if x≤-2x2-1    if -2&lt;x≤14-x      if x&gt;1

Q: 7- -6 -5 -2 4 -5 -6 -7

A:

Q: If a function is not defined at a, how is this shown on the function’s graph?

A: It is given that a function is not defined at a   Here the graph is not defined at x=-4

Q: If g (x) = 1 - x, defined at 0 ≤ x ≤ 1, graph its extension on the interval [-1, 1].

A: extension of the function

Q: Find the domain of the function using interval notation. f (x) = -2a (x – 3) (x – 5) | | To enter…

A: soution:-f(x)=-2x(x-3)(x-5)To find the domin of f(x)The domain of a function is the set of all…

Q: "hich of the statements a through k about the function y = f(x) graphed here are true, and which are…

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Q: Use the graph of the function f to decide whether the value of the given quantity exists. 3 -4 -2…

A: According to company policy we are allowed to provide solution for only first 3 sub parts. If you…

Q: Evaluate the given piecewise function at the given points 2x +1, x 2 1 f(x) = %3D x2 +3, x< 1 at…

A: We need to find value of f(-2) and f(6) for piecewise function