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

1-131.

Examine two ways a line changes:

Sketch

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

-values asincreases) and look for a pattern.Calculate the area under the curve for

if . How is the area changing asincreases?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?