Question

Which of the following represents a critical points that define the test intervals

Answer 1

Explanation

By definition, a critical point is a number which makes the rational expression zero or undefined.

We have the expression:

$\frac{x^2+2x-15}{x+2}=\frac{(x-3)(x+5)}{x+2}.$

1) We see that the numerator is zero for the values x = 3 and x = -5.

2) We see that the denominator is zero and the expression is undefined for the value x = -2.

Answer

The critical points are:

C. x = -5, x = -2 and x = 3