21. Find the indicated quantities for the function y = f(x)= 2x2 +5 (a) The change in y if r changes from 1 to 3 (b) The average rate of change of y with respect to x if e changes from 1 to 3 (c) The slope of the secant line through the points (1, f(1)) and (3, f(3)) (d) The rate of change of y with respect to x at x =1 (e) The slope of the tangent line to the graph of y = f(x) at x 1 (f) f'(1)

21. Find the indicated quantities for the function y = f(x)= 2x2 +5 (a) The change in y if r changes from 1 to 3 (b) The average rate of change of y with respect to x if e changes from 1 to 3 (c) The slope of the secant line through the points (1, f(1)) and (3, f(3)) (d) The rate of change of y with respect to x at x =1 (e) The slope of the tangent line to the graph of y = f(x) at x 1 (f) f'(1)

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

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