In Exercises 130–133, write the equation of a rational function f ( x ) = p ( x ) q ( x ) having the indicated properties, in which the degrees of p and q are as small as possible. More than one correct function may be possible. Graph your function using a graphing utility to verify that it has the required properties. 131. f has vertical asymptotes given by x = −2 and x = 2, a horizontal asymptote y = 2, y -intercept at 9 2 , x -intercepts at −3 and 3, and y -axis symmetry.
In Exercises 130–133, write the equation of a rational function f ( x ) = p ( x ) q ( x ) having the indicated properties, in which the degrees of p and q are as small as possible. More than one correct function may be possible. Graph your function using a graphing utility to verify that it has the required properties. 131. f has vertical asymptotes given by x = −2 and x = 2, a horizontal asymptote y = 2, y -intercept at 9 2 , x -intercepts at −3 and 3, and y -axis symmetry.
Solution Summary: The author explains how to graph a rational function using graphing utility to verify that it has the required properties or not.
In Exercises 130–133, write the equation of a rational function
f
(
x
)
=
p
(
x
)
q
(
x
)
having the indicated properties, in which the degrees of p and q are as small as possible. More than one correct function may be possible. Graph your function using a graphing utility to verify that it has the required properties.
131.f has vertical asymptotes given by x = −2 and x = 2, a horizontal asymptote y = 2, y-intercept at
9
2
, x-intercepts at −3 and 3, and y-axis symmetry.
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