University:
Glendale Community College
Course:
MAT 140 | College Mathematics
Academic year:

2022
Views:

404

Pages:

12
Author:

Ruben Owens

Section 3.3: Increasing and decreasing functions. #1 – 10: Find the a) interval(s) where the graph is increasing. b) interval(s) where the graph is decreasing. c) the coordinates of local maximum point, if any d) the local maximum value e) the coordinates of the local minimum point if any f) the local minimum value 1) #1 – 10: Find the a) interval(s) where the graph is increasing. b) interval(s) where the graph is decreasing. c) the coordinates of local maximum point, if any d) the local maximum value e) the coordinates of the local minimum point if any f) the local minimum value 3) #1 – 10: Find the a) interval(s) where the graph is increasing. b) interval(s) where the graph is decreasing. c) the coordinates of local maximum point, if any d) the local maximum value e) the coordinates of the local minimum point if any f) the local minimum value 5) #1 – 10: Find the a) interval(s) where the graph is increasing. b) interval(s) where the graph is decreasing. c) the coordinates of local maximum point, if any d) the local maximum value e) the coordinates of the local minimum point if any f) the local minimum value 7) #1 – 10: Find the a) interval(s) where the graph is increasing. b) interval(s) where the graph is decreasing. c) the coordinates of local maximum point, if any d) the local maximum value e) the coordinates of the local minimum point if any f) the local minimum value 9) #11 – 12: Find the a) interval(s) where the graph is increasing. b) interval(s) where the graph is decreasing. c) interval(s) where graph is constant d) the coordinates of local maximum point if any e) the local maximum value f) the coordinates of the local minimum point if any g) the local minimum value 11) #13 – 16: a) b) c) d) 13) Coordinates of the absolute maximum point. Value of the absolute maximum Coordinates of the absolute minimum point Value of the absolute minimum #13 – 16: a) b) c) d) 15) Coordinates of the absolute maximum point. Value of the absolute maximum Coordinates of the absolute minimum point Value of the absolute minimum #17 – 20: Sketch a graph of the function of the indicated interval and find the following: a) b) c) d) Coordinates of the absolute maximum point. Value of the absolute maximum Coordinates of the absolute minimum point Value of the absolute minimum 17) 𝑓(𝑥) = (𝑥 − 2)2 + 4; [0,6] #17 – 20: Sketch a graph of the function of the indicated interval and find the following: a) b) c) d) Coordinates of the absolute maximum point. Value of the absolute maximum Coordinates of the absolute minimum point Value of the absolute minimum 19) 𝑓(𝑥 ) = −(𝑥 − 1)2 + 2; [−2,2] 21) Find the average rate of change of f(x) = (x-2)2 -4 a) from 1 to 2 b) from 3 to 5 23) find the average rate of change of f(x) = x3 – 2x + 1 a) from -3 to -2 b) from -1 to 1

Section 3.3 Increasing and decreasing functions.