Calculate the limit of the following functions at the indicated value. .3 x³ + x - 30 lim x-3x³x² - 18 4x + 1-3 lim x-2 x-2 6x² - 6x - 5 lim x 3x³ + 3x² - 9x + 13 7x²+x+4 lim x 7x² + 21x - 3

Q: Use the piecewise function to answer the following question. -10 10

A: See attached file for a step by step explanation to find the piece wise function.

Q: :-3 ifx 2 -3 2-1

A: The given piecewise function is,t(x)=-12x-3if x<2-1if x≥2

Q: Solve for the limits of the following functions. Show complete solution.

A:

Q: 5. Give an example of a rational function that does not have a horizontal asymptote.

A: The solution is given as

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A:

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Q: 4. Find the point/s of discontinuity for the given function and identify the type of…

A:

Q: Find the limit of the function as x approaches 2 from the right. a. 2 b. -1 c. 5 d. 0

A: Given query is to find the Indicated limit.

Q: 1. Given f(x) = 2* and g(x) = 3*, a. complete the table of values -4 -3 -2 -1 1 2 4 f(x) = 2* g(x) =…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: f (x)

A: (a) Given function is: fx=x2-x-2x+1 Then we get, fx=x2-x-2x+1⇒fx=x+1x-2x+1⇒fx=x-2 Hence the graph of…

Q: 1.5x + 5 if x <- 2 Sketch a graph of f(x) : 6. if -2 <x < 2 -0.5x +7 if x 2

A: Here a function is Given, we have to sketch the graph of the given function. We have to identify the…

Q: Q.2 Find the lim, 2x-6|

A: Given, limx→3 2x-6

Q: Find the domain and sketch the graph of the function x² - 4 x-2 f(x) =

A:

Q: Find the value of the constant k that makes the function continuous. g(x) = 2 2x-5x-25 if x 5 x-5…

A:

Q: a. f(x) = x²-x-2 x+1

A: Given function is,"As per the rules, we are supposed to answer the first question, and the rest…

Q: An infinite discontinuity of the given function can be drawn at x = %3D {(x): x+2 %3D 3x-6

A: An infinite discontinuity occurs when either one side or both side limit tends to infinity.

Q: For the given function f(x)=x²-32x + 32, determine an appropriate viewing rectangle. O [-10, 40] x…

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Q: Determine the equation for the horizontal asymptote for the graph of f. 3x²-x+2 52x²+x-5 a. lim x→∞…

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Q: Graph the functions including the labels of 2 key points and any asymptotes ON the graph. 1. y = 2…

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Q: 6x +29x5 x² + 8x + 15 identify any horizontal or vertical asymptote as well as any removable…

A: The given function is fx=6x2+29x-5x2+8x+15. We have to find the vertical, horizontal asymptotes and…

Q: 6. Graph the piecewise defined function. 1x+4] if x2

A: We will make a table for each piece of the function y=|x+4| , x &lt; -3 x -3 -4 -5 -6 y 1 0 1 2…

Q: Which of the following is not an asymptote of * 4x² y = x²-9 Ox=3 O y = -4 Oy=4 O X=-3 ?

A: To find Which of the given is  not an asymptote of y.

Q: Investigate the continuity of the function at x=3. S-2x +4 if x23 f(x)x-1 fx<3 At x3

A:

Q: 2. Identify the type of discontinuity of the function fx* – 2, l1– 2x, -2 2 f(x) = A. Infinite B.…

A: If the left-hand side of the limit is not equal to the right-hand side limit, then the function will…

Q: х2-3х-4 - 3x- lim x-4 х— 4

A: The given problem is solved below in detail.