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.
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.
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Concept explainers
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:
Question
Transcribed Image Text:2-16
Consider the function f(x)= y – A). Complete parts (a) and (b).
x(x-4)*
a. Evaluate lim f(x) and lim f(x), and then identify the horizontal asymptotes.
X-00
2-16
lim
x(x-4)
x2-16
lim
х(x - 4)
%3D
1
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.
O B. The function has horizontal asymptotes at y =
and y =
(Use ascending order.)
O C. 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
Xa+
your choice.
O A. The function has a vertical asymptote at x =
The limits at this vertical asymptote are lim f(x) =
and lim f(x) = .
Xa+
has the limits lim f(x)=
and lim f(x) =
The vertical asymptote at x =
has the limits lim f(x) =
and lim f(x)=.
O B. The vertical asymptote at x =
Xa
X→a+
Xa
X a+
(Use ascending order.)
C. The function has no vertical asymptote.
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