In Problems 13–20, a linear function is given. (a) Determine the slope and y-intercept of each function. (b) Use the slope and y-intercept to graph the linear function. (c) Determine the average rate of change of each function. (d) Determine whether the linear function is increasing, decreasing, or constant. A 13. f(x) = 2x + 3 14. g(x) = 5x - 4 15. h(x) = -3x + 4 16. р (x) — -х +6 17. f(x) = - 3 18. h(x) = -x + 4 19. F(x) = 4 20. G(x) = -2

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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In Problems 13–20, a linear function is given.
(a) Determine the slope and y-intercept of each function.
(b) Use the slope and y-intercept to graph the linear function.
(c) Determine the average rate of change of each function.
(d) Determine whether the linear function is increasing, decreasing, or constant.
A 13. f(x) = 2x + 3
14. g(x) = 5x - 4
15. h(x) =
-3x + 4
16. р (x) — -х +6
17. f(x) = - 3
18. h(x) = -x + 4
19. F(x) = 4
20. G(x) = -2
Transcribed Image Text:In Problems 13–20, a linear function is given. (a) Determine the slope and y-intercept of each function. (b) Use the slope and y-intercept to graph the linear function. (c) Determine the average rate of change of each function. (d) Determine whether the linear function is increasing, decreasing, or constant. A 13. f(x) = 2x + 3 14. g(x) = 5x - 4 15. h(x) = -3x + 4 16. р (x) — -х +6 17. f(x) = - 3 18. h(x) = -x + 4 19. F(x) = 4 20. G(x) = -2
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