16 Iff has vertical asymptotes given by x = -5 and x = 5, a horizontal asymptote y = 5, y-intercept = x-intercepts of -4 and 4, and y-axis symmetry, then write the equation of a rational function p(x) f(x) = having the indicated properties, in which the degrees of p and q are as small as possible. Graph the function using a graphing utility to verify that it has the required properties. q(x) Write the equation of a rational function. Choose the correct answer below. O A. O C. 4(x²-25) x² - 16 O A. 4(x²-16) x²-25 Use a graphing utility to graph the function. Use the window [-10, 10, 2] by [-25, 25, 5]. Choose the correct graph below. 5(x²-16) x²-25 ✔ O B. OB. ✔ OD. x²-16 x²-25 O C. Q LV O D. Q

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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If f has vertical asymptotes given by x = -5 and x = 5, a horizontal asymptote y = 5, y-intercept
16
5
p(x)
q(x)
having the indicated properties, in which the degrees of p and q are as small as possible. Graph the function using a graphing utility to verify that it has the required properties.
f(x) =
Write the equation of a rational function. Choose the correct answer below.
O A.
4(x²-25)
x²-16
O A.
5(x²-16)
x²²-25
B.
x-intercepts of - 4 and 4, and y-axis symmetry, then write the equation of a rational function
N
...
B.
D.
Use a graphing utility to graph the function. Use the window [-10, 10, 2] by [-25, 25, 5]. Choose the correct graph below.
x - 16
C.
X - 25
4(x²-16)
²-25
D.
Transcribed Image Text:If f has vertical asymptotes given by x = -5 and x = 5, a horizontal asymptote y = 5, y-intercept 16 5 p(x) q(x) having the indicated properties, in which the degrees of p and q are as small as possible. Graph the function using a graphing utility to verify that it has the required properties. f(x) = Write the equation of a rational function. Choose the correct answer below. O A. 4(x²-25) x²-16 O A. 5(x²-16) x²²-25 B. x-intercepts of - 4 and 4, and y-axis symmetry, then write the equation of a rational function N ... B. D. Use a graphing utility to graph the function. Use the window [-10, 10, 2] by [-25, 25, 5]. Choose the correct graph below. x - 16 C. X - 25 4(x²-16) ²-25 D.
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