### Home > CALC > Chapter 8 > Lesson 8.4.1 > Problem 8-144

8-144.

You were given a velocity function. How will you find distance information?

MVT states that if a function is both continuous and differentiable on a closed interval, then the average value will equal the actual value somewhere.

Compare and contrast parts (a) and (c). Both are looking for averages. But, based on the function you were given, strategies to find averages are different.

MVT also states that if a function is both continuous and differentiable on a closed interval, then its average rate of change (AROC) will equal its actual rate of change (IROC) somewhere.