SOLUTION: Given the function, f(x)= 2/x^2-2x-3 find tthe domain and range by showing your work. After that, find the x and y intercepts

Question 1012572: Given the function, f(x)= 2/x^2-2x-3 find tthe domain and range by showing your work. After that, find the x and y intercepts
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

There are only two restrictions on x that make the denominator go to zero.
So and are excluded from the domain.
Domain : (,)U()U()
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.
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We can plot to look for the range,

.
So from the graph, you see that as you move from left to right you go from to , to , and then from back to .
So the range is,
Range: (,]U()
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.
.
There is no x-intercept, the graph never crosses the x-axis.
.
.
.
When ,

So the y-intercept is
(,)
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