### Home > CALC > Chapter 6 > Lesson 6.4.3 > Problem 6-161

Find the average value of

*g*(*t*) defined below over the given interval. You may solve analytically or use your graphing calculator to evaluate. Homework Help ✎*g*(*t*) = 2*t*^{2}− 3 over [0, 4]*g*(*t*) = 3*e*+ ln(^{t}*t*+ 1) over [0, 1]

Examine the Math Note about about Mean (average) Value. Notice that there are two strategies to compute Mean (average) Value.

Strategy 1: compute the average area under the curve.

Strategy 2: compute a slope of a secant line.

WARNING: These strategies can NOT be used interchangeably. The strategy you choose depends on the function you are given: *f*(*x*) or *F*(*x*).

And it depends on the question you are being asked:

Find average *y*-value? or Find average rate of change?

In problem 6-161, you are asked to find the average *y*-value of the given function *g*(*x*).