a. Evaluate lim fx) and lim f(x), and then identify the horizontal asymptotes. X00 X- 00 2-16 lim x(x- 4) x2-16 1 x(x-4) lim X- 00 Identify the horizontal asymptotes. Select the correct choice below and, if necessary, fill in all the answer boxes to complete your choice. A. The function has a horizontal asymptote at y = 1. OB. The function has horizontal asymptotes at y = and y = (Use ascending order.) OC. The function has no horizontal asymptote. b. Find the vertical asymptotes. For each vertical asymptote x = a, evaluate lim f(x) and lim f(x). Select the correct choice below, and, if necessary, fill in all the answer boxes to complete Xa X-a your choice. The limits at this vertical asymptote are lim f(x) = and lim f(x) =. x-a O A. The function has a vertical asymptote at x= xa and lim f(x) = x-a O B. The vertical asymptote at x= has the limits lim f(x) = and lim f(x) = The vertical asymptote at x = has the limits lim f(x) = Xa (Use ascending order.) O C. The function has no vertical asymptote.

Q: 3 lim (1+ - +72 4.

A:

Q: help with a breakdown for each step.

A: a)  1b) -1c)  does not existd)  does not exist Explanation:Thank you 😊

Q: b. Find the asymptote for the function f(x) = and sketch the function. %3D x2-1

A:

Q: Use the graph of f in the figure tofind the following values or state that they do not exist.

A: Apologies. We only answer one question at a time. We will answer the first three subparts a, b and c…

Q: x-1 7. Given the function: f(x) = %3D x²+2x-8 a. Find the vertical asymptotes. b. Describe the…

A: f(x)=x−1x2+2x−8 we need to find the vertical asymptote of the function f(x) and behavior of function…

Q: Graph the function. Plot all necessary asymptotes. For vertical asymptotes, make sure there are at…

A:

Q: Find Lim A. 00 C. olo x² - 4x x-00 3x³ + 6x 0 B. 0 D. 2 NI3

A:

Q: -5 -4 Ef +3 graph below is the function f (x) -3-2 -3) = lim f(x) = -3- f(x) = f(x)= 5 4 3- 2 +…

A: Explanation of the answer is as follows

Q: Identify any asymptotes and state the domain of the function in interval notation. p(x)=7x/(x+13)

A:

Q: Identify any vertical asymptotes of the function: 5x² f(x) = x² - 16 If there are none, briefly…

A: Horizontal asympototes  are y=5

Q: Use the graph in Figure to find each of the following:

A: Limit L of a function at x=a is the value that a function approaches from both the left hand side…

Q: Use the graph of ƒ to determine the value of lim,→4 f(x). 4 3- 2- 1- -3 -1 1 -14 -4 -2 2. 4 7 y=(x)…

A: To find the value of the limit from the given graph.

Q: lim,→-1 22²+2-1 2+1

A: See the answer below

Q: 5. lim -0.01 -0.001 -0.0001 0.0001 0.001 0.01 f(x) x-4 : lim x0x2 - 16 Mel

A: To complete the table and make the graph

Q: Evaluate in terms of the constant a.

A: The limit of a function limx→Xfx=Y means that value of  function fx can be as close to Y by making…

Q: Find. 1) a. lim f(x) and b. lim f(x). 3- 4-

A: Answer and explanation is given below..

Q: (3a + 2h)16/5 - (3a)16. Evaluate lim h-0 h

A:

Q: -2 -3 -4 -5- -6- -7+ lim f(z) = OLimit does not exist. TIP Enter your answer as an integer or…

A: At any point for any function f(x) the limit limx→afx=L exists if limx→a−fx=limx→a+fx=fa.

Q: 4 Find Lim x0 2ex-12 A.- В. 51 C. -0.4 D. 0.5 2/7

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: