8-4x For the given rational function f(x) = x2 -4 (A) Find any intercepts for the graph. (B) Find any vertical and horizontal asymptotes for the graph. (C) Graph the function in a standard viewing window using a graphing calculator.
8-4x For the given rational function f(x) = x2 -4 (A) Find any intercepts for the graph. (B) Find any vertical and horizontal asymptotes for the graph. (C) Graph the function in a standard viewing window using a graphing calculator.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:8- 4x2
x² - 4
For the given rational function f(x) =
(A) Find any intercepts for the graph.
(B) Find any vertical and horizontal asymptotes for the graph.
(C) Graph the function in a standard viewing window using a graphing calculator.
(A) Identify the x-intercepts, if there are any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The x-intercept(s) is(are) x =
(Type an exact answer. Use a comma to separate answers as needed.)
O B. There are no x-intercepts.
Identify the y-intercepts, if there are any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The y-intercept(s) is(are) y =
(Type an exact answer. Use a comma to separate answers as needed.)
O B. There are no y-intercepts.
(B) Identify the vertical asymptotes, if there are any. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. There is one vertical asymptote. Its equation is
O B. There are two vertical asymptotes. In order from left to right on the graph of the function, the equations of the vertical asymptotes are
and
O C. There are three vertical asymptotes. In order from left to right on the graph of the function, the equations of the vertical asymptotes are
and
O D. There are no vertical asymptotes.
Identify the horizontal asymptotes, if there are any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Click to select your answer.
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