Question 810118: find the range of the function.
h(x)=x^2/1-x^2
a.
[5, ∞ )
b.
(- ∞, -1)U(-1, 1)U(1, + ∞)
c.
(- ∞, 10]
d.
(- ∞, -1) U [0, ∞ )
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! find the range of the function.
h(x)=x^2/(1-x^2)
***
Vertical asymptotes:
set denominator=0, then solve for x
1-x^2=0
(1+x)(1-x)=0
x=-1 and x=1
..
Horizontal asymptotes:
When degree of denominator=degree of numerator, divide their coefficients, 1/-1=-1
y=-1
...
number line:
<..-..-1..+..0..+..1..-..>
ans: d. (- ∞, -1) U [0, ∞ )
see graph below:
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