4. Graph the function: f(x) = 2(3)**³ – 1 State the Domain and Range in Interval Notation, and the equation of the Asymptote. x+3 X y

Q: c. f(1) =3 and lim f(x)=-2 С. x→1

A:

Q: The concentration C of a chemical in the bloodstream t hours after injection into muscle tissue is…

A: The degree of the numerator of the function i.e. 3t2+t is 2 and the degree of the denominator of the…

Q: What is the horizontal asymptote of the function f (x) = e+2 - 3

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Q: Q.4 Find the horizontal and vertical asymptotes of the function Vr --3x-10 y% = x --10x + 25

A: Consider the function: y=x4+3x2-10x2+10x+25. Find the horizontal and vertical asymptotes.   A…

Q: Find the domain and asymptote. In interval notation. y=1/x2

A: The given function is,

Q: Find the Vertical and Horizontal Asymptote for the function 3x - 1 f(x) = x + 1

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Q: (3x + 1 if x< 1 if x21 Sketch the graph of f(x) = 3

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Q: Graph the function

A: The graph of the function f(x)=1-x is shown on the board:Some of the point aref(x)=1-xyx=-3,…

Q: 4. The graph of the function f(x)= /16-x² is a half-circle. If we shift this graph 2 units to the…

A:

Q: Describe the behavior of the function h  around its vertical asymptote at x= -5 for the equation:…

A:

Q: let f(x)= p+ 8/x-q. the line x=4 is a vertical asymptote to the graph of f. what is the value of q…

A: Check point of discontinuity and find q. Then using given intercept point find p.

Q: Consider the function x + 5x-6 S(x) = x2 +4x If it exists, give the equation of the horizontal…

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: 4. Determine the vertical asymptote(s). x'+5x-7 а. У - х*-3х- 28 x³+4x³ -4x+6 b. f(x) - * x'+2x²…

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Q: LI J LJ 12. Using the graph of the function below, write the equation(s) of the vertical asymptotes.…

A:

Q: (d) Describe the behavior of the function f (2) around its vertical asymptote at z = -7. f (x) as x…

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Q: Consider the graph of the function h(x)=2x-1 over x+2. Write down the equation of the vertical…

A: Given function,  h(x) = (2x - 1)/(x + 2)  To find the vertical asymptotes.

Q: which statements are always true for the graph of a cubic function?  I) When the graph has exactly…

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Q: x2 – 3 y = 2х — 4

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Q: r f(x)=x^2/(1+x), determine the concavity of the graph o

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Q: f(x) = x – !

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Q: Suppose the graph of f (x) = x1/3is shifted up 4units and to the right 6 units. What is the…

A: Given the graph of fx=x13 is shifted up 4 units and to the right 6 units. To find the equation of…

Q: Find the vertical and horizontal asymptotes of the function f (x) = x 2/(4 − x)2 .

A: The given function is

Q: 13. To the right is the graph of y = f(x), which is the volume of a box with a top. The box is made…

A: NOTE: Refresh your page if you can't see any equations. . the given graph is

Q: Find the asymptotes of the functionf(x)=x/x+1.

A: Given function is

Q: Find the vertical and horizontal asymptotes of the function f (x) = x /(4 − x) .

A:

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: f(x) (x-1)(x-4). %3D x+4

A: Topic = Functions

Q: Find the vertical asymptotes of f(x)= sec(x)

A:

Q: Consider the given graph. 2 a) At which points the function is not differentiable. Explain why for…

A: a) From the given Figure it is clearly observed that, the function discontinuous at x=-2, x=-1 and…

Q: b. Use your calculator's TRACE function to estimate the x-values of any vertical asymptotes.

A: using trace function we have drawn the graph of the function.

Q: (x2 – 6 if x < 1 12x – 5 if x 21' 8) Graph: f(x) Must show your work by creating a table of values.

A: To draw the graph of the given function first we find the function values corresponding to some x…

Q: -x² +1 ifx<0 h(x)={x+1 if 0 <x<1 2 x21 Sketch the graph of h.

A: The given function is as follows.

Q: x2+6x+8 . f (x) = %3D x²+7x+12

A: An asymptote is a line or a curve that the graph of a function approaches. Vertical asymptotes occur…

Q: Match the horizontal asymptote with its corresponding function. 5x+2 f(x) = 3x2 + 1 a. f(x)= 2x2+1…

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Q: Use the given graph of function f to solve: Write the equation of the horizontal asymptote, or the…

A: The given graph of the function is:

Q: The function f(x) = Y2x²+1 has a horizontal asymptote at 3x-5

A: We say that Line y=L is a horizontal asymptote of the function y=f(x), if either limx→∞f(x)=L or…

Q: 1. Sketch the graphs of the following functions: N(a) y=x² y= 3x2 y = 4x y =-3x ² y=-4x2 y=ー ー=へ)…

A: Since you have posted question with multiple subparts , we will solve the first three subparts for…

Q: 4. What is the Horizontal Asymptote of the FUNction 1 -8 (x + 6)

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Q: Find the equation for the horizontal asymptote of the graph of the function. (If an answer does not…

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Q: What does it mean to say that y = b is a horizontal asymptote of y = f(x) ?

A: y = b is a horizontal asymptote of y = f(x).

Q: 9. Graph the piecewise function: 2 xS-1 h(x) = { x' -1<x< /2 %3D 43

A: We have to graph the function.

Q: Find the horizontal and vertical asymptotes for the function Y=6-2x^3/x^3 -x^2+12x

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Q: 4. a) Sketch the graphs ofy=f(x) = -2(x – 3)2 + 2 and y=g(x)= 4x – 10 on the same set of axes. b)…

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Q: If the graph of y= ax+9 has a x-intercept at x= 3 and a vertical asymptote x =-3, the x+c a+c=

A:

Q: 22) Assuming this function never crosses its horizontal asymptote, state the domain and range o…

A: Solve the function

Q: 18. When is the function, f (x)=: 4 -3x? -3+ below the horizontal asymptote? x-1 5-4x-x2

A: It is given that the function fx=4x-1-3+-3x25-4x-x2. 5-4x-x2=5-5x+x-x2               =51-x+x1-x…

Q: Find the vertical and horizontal asymptotes of the function f(x) = x2/(4 – x)2.

A: The given function is fx=x24-x2. Note that the value of function approaches to larger and larger as…

Q: Find the asymptotes of the function f(x)=x/(x−1)2.

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Q: у 1 0 1 T 1 X

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Q: 5. Explain why the graph of the equation below has no vertical asymptote: f(x) x2 + 1

A: Givenf(x)=1x2+1