Question

Question #f619a

Answer 1

Asymptotes: x = -2 and x = 1
No value for the minimum and maximum

Explanation:

The fraction does not have a value when the denominator is equal to 0. Therefore, there are asymptotes where the denominator is equal to 0:

`0 = x^2+x-2`

`0 = (x+2)(x-1)`

There are asymptotes at x = -2 and x = 1 .

The easiest way to find the minimum and maximum value for the graph is with a graphing calculator:

graph{(x^2)/(x^2+x-2) [-10, 10, -5, 5]}

You can see that the y-value goes to negative and positive infinity. Therefore, there is no value for the minimum and maximum !

Hope this helps!