PROVE: Linear Functions Have Constant Rate of Change Suppose that f(x) = ax + b is a linear function. (a) Use the definition of the average rate of change of a function to calculate the average rate of change of f between any two real numbers x, and x2. (b) Use your calculation in part (a) to show that the average rate of change of f is the same as the slope a.
PROVE: Linear Functions Have Constant Rate of Change Suppose that f(x) = ax + b is a linear function. (a) Use the definition of the average rate of change of a function to calculate the average rate of change of f between any two real numbers x, and x2. (b) Use your calculation in part (a) to show that the average rate of change of f is the same as the slope a.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.5: Linear Functions And Models
Problem 51E
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