Suppose that f(x) is a linear function. So, the algebraic representation of f(x) is of the form: f(x) = mx + b for some numbers m and b. (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 , and x2. (b) Based on your observation in part (a), conclude how the average rate of change of a linear function is related to the slope of its graph. (Your conclusion should be in words; 2-3 sentences.) BC

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Suppose that f(x) is a linear function. So, the algebraic representation of f(x) is of the form:
f(x) = mx + b
for some numbers m and b.
(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 x1 and x2.
(b) Based on your observation in part (a), conclude how the average rate of change of a
linear function is related to the slope of its graph. (Your conclusion should be in words;
2-3 sentences.)
ABC
Transcribed Image Text:Suppose that f(x) is a linear function. So, the algebraic representation of f(x) is of the form: f(x) = mx + b for some numbers m and b. (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 x1 and x2. (b) Based on your observation in part (a), conclude how the average rate of change of a linear function is related to the slope of its graph. (Your conclusion should be in words; 2-3 sentences.) ABC
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