Graph the rational function: f(x) =(2x^2)/(x^2-1) andgive the following information: Domain: y intercept: Horizontal asymptote: Vertical Asymptote(s): x intercept(s): Complete the Table: x f(x) -3 -2 -0.5 0.5 2 3 (b) using the answer from (A), solve the rationalequality:

ganolrifv9

ganolrifv9

Answered question

2022-07-25

Graph the rational function: f(x) = 2 x 2 x 2 1 andgive the following information:
Domain:
y intercept:
Horizontal asymptote:
Vertical Asymptote(s):
x intercept(s):
Complete the Table:
x f(x)
-3
-2
-0.5
0.5
2
3
(b) using the answer from (A), solve the rationalequality:
2 x 2 x 2 1 < 0

Answer & Explanation

Jeroronryca

Jeroronryca

Beginner2022-07-26Added 13 answers

Domain: x 1 , x 1
x-intercept: 0 = 2 x 2 x 2 1
x = 0
x-intercept = 0
Horizontal asymptote:
= 2
Horizontal asymptote = (y = 2)
Vertical Asymptote(s):
x 2 -1 = 0
(x + 1) (x - 1)
x = -1, 1
Vertical Asymptotes = (x = -1), (x = 1)
y-intercept(s):
f ( 0 ) = ( 2 ( 0 ) 2 ) / ( ( 0 ) 2 1 )
= 0
y intercept = 0
x = -3, y = (9/4)
x = -2, y = (8/3)
x = -0.5, y = (-2/3)
x = 0.5, y = (-2/3)
x = 2, y = (8/3)
x = 3, y = (9/4)
(b)
x 0 , 1 < x < 1

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