### Home > CALC > Chapter 10 > Lesson 10.1.8 > Problem 10-84

10-84.

Examine the graph of

*f*(*t*) shown below. Homework Help ✎

Let. What is the domain of

*F*(*x*) ?For what values of

*x*does*F*(*x*) attain its absolute maximum and minimum? Justify your answer.

*f*(*t*) is defined for 0 ≤ *t* ≤ 6, so 0 ≤ 2*x* – 4 ≤ 6.

*F*(*x*) represents the area under the curve. Review the graph.

For what value of *t* will this area be a maximum? A minimum?

The maximum occurs when *t* = 1. The minimum occurs when *t* = 6.

What are the corresponding *x*-values?