ANSWER COMPLETELY FOR UPVOTEFOLLOW INSTRUCTIONSNO UPVOTE IF INCOMPLETE Increasing and Decreasing Functions, Piecewise FunctionsII. Consider the function f(x). Identify the domain and range of f(x), draw its graph and labelpoints if necessary, and determine whether or not f(x) is monotonic on the following intervals.If f(x) is monotonic on an interval, specify whether increasing or decreasing (no constant).Domain and Range of f(x); Graph of f(x):1. (-∞, - 10)2. (-10,-7)f(x) =3. (-7,-4)4. (-4,0)5. (0,3)-(x-11)²+5 if x > 103x - 152--=-6. (3,8)7. (8,10)8. (10, +∞0)9. (-∞, -8)10. (-7,-5)36x-6-x-23x + 12-(x + 5)²-1-(x + 10)²+5x + 15Hint: Draw the graph of f(x) on the coordinate plane where x € (-15,15) and y € (-10,10).If necessary, you may just draw arrows to indicate that the graph of f(x) continues beyondthese boundaries.if 8 < x < 10if 3 < x < 8if 0 < x < 3if -4 < x < 0if -7

fx=-x-112+5ifx>1032if8<x<103x-152-3if3<x<8-x36x-6-16if0<x<3-x-23x+12if-4<x&l…

Answered: -(x-11)²+5 if x > 10 3x-15 f(x) = -²² -…

-(x-11)²+5 if x > 10 3x-15 f(x) = -²² - 6x-6 -3 -x-2 3x + 12 -(x + 5)²-1 -(x + 10)²+5 x + 15 if 8 < x < 10 if 3 < x < 8 if 0

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.5: Functions

Problem 9ECP

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ANSWER COMPLETELY FOR UPVOTE

FOLLOW INSTRUCTIONS

NO UPVOTE IF INCOMPLETE

Increasing and Decreasing Functions, Piecewise Functions
II. Consider the function f(x). Identify the domain and range of f(x), draw its graph and label
points if necessary, and determine whether or not f(x) is monotonic on the following intervals.
If f(x) is monotonic on an interval, specify whether increasing or decreasing (no constant).
Domain and Range of f(x); Graph of f(x):
1. (-∞, - 10)
2. (-10,-7)
f(x) =
3. (-7,-4)
4. (-4,0)
5. (0,3)
-(x-11)²+5 if x > 10
3x - 15
2
-
-=-
6. (3,8)
7. (8,10)
8. (10, +∞0)
9. (-∞, -8)
10. (-7,-5)
3
6x-6
-x-2
3x + 12
-(x + 5)²-1
-(x + 10)²+5
x + 15
Hint: Draw the graph of f(x) on the coordinate plane where x € (-15,15) and y € (-10,10).
If necessary, you may just draw arrows to indicate that the graph of f(x) continues beyond
these boundaries.
if 8 < x < 10
if 3 < x < 8
if 0 < x < 3
if -4 < x < 0
if -7<x< - 4
if -10 < x < -7
if x < -10
11. (-5,0)
12. (-5,1)
13. (0,1)
14.
(1,2)
15. (2,5)
16. (4,5)
17. (5,10)
18. (8,10)
19. (6,11)
20. (11, +∞0)

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Step 1: Finding the range and domain

Step 2 For x>10

Step 3: For 8<x<10

Step 4: For 3<x<8

Step 5: For 0<x<3

Step 6: For -4<x<0

Step 7: For -7<x<-4

Step 8: For -10<x<-7

Step 9: For x>0

Step 10: Graph

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