### Home > CALC > Chapter 1 > Lesson 1.3.3 > Problem 1-131

1-131.

Examine two ways a line changes:

Sketch

. Find,,, and. How are the function values changing asincreases?Compute the finite differences (that is, find the difference in

-values asincreases) and look for a pattern.Find

forand. How are the areas changing as increases?Use geometry to find the area of the trapezoid between

andfor each value of. Keep your results organized.Is the difference between the areas growing constantly or linearly? If not, how else could it be growing, and by what pattern each time?