What is the average rate of change of the function f ( x ) f(x) on the interval − 8 ≤ x ≤ 2 −8≤x≤2?

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Step-by-step explanation:

When there is one x-intercept, the discriminant is zero.

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The discriminant is used to compute the difference between the roots. When it is positive, the real roots are different, so there are two x-intercepts.

When the discriminant is zero, there is no difference between the roots, so there is one x-intercept (as here).

When the discriminant is negative, there are no x-intercepts and the two roots are complex.