Domain MODULE 13 Functions and Inverses - NOHS Teachers
[Pages:3]Name _______________________________________ Date __________________ Class __________________
MODULE 13 Functions and Inverses
Domain {x | 1 x 7} Range {y | 3 y 1}
LESSON 13-1
2. Original relation
Practice and Problem Solving A/B
Domain {x | 2 x 2}
1. even (4); negative
Range {y | 0 y 7}
2. odd (3); positive
3. odd (3); positive
4. even (4); negative
5. 4; even; negative
6. 3; odd; positive
LESSON 13-2 Practice and Problem Solving A/B
1. Original relation Domain {x | 3 x 1} Range {y | 1 y 7}
Inverse relation x 0 1 4 5 7 y 2 1 0 1 2
Domain {x | 0 x 7} Range {y | 2 y 2} 3. f 1(x) x 2
3 Sample check for x 10
f (10) 3(10) 2 32
Inverse relation x 1 1 3 5 7 y 3 2 1 0 1
f 1(32) 32 2 10 3
4. f 1(x) 5(x 3) 2
Sample check for x 10 f (10) 2(10) 3 1
5
Original content Copyright ? by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
208
Name _______________________________________ Date __________________ Class __________________
f 1(1) 5(1 3) 10
5.
2
6.
7. t d 4.9
8. 4.5 s
LESSON 13-3
Practice and Problem Solving A/B
1. Translation 6 units right; domain x 6, range y 0
2. Translation 9 units right; vertical stretch, factor 10; domain x 9, range y 0
3. Translation 1 unit right; domain x 1, range y 0
4. Translation 2 units right; vertical compression, factor 1 ; domain x 2, range 2 y 0
LESSON 13-4 Practice and Problem Solving A/B
1. f 1(x) 3 x 2. f 1(x) 23 x , or f 1(x) 3 8x
3. f 1(x) 1 3 x , or f 1(x) 3 x
3
27
4. f 1(x) 3 x 5
5. f 1(x) 1 3 x 7 , or f 1(x) 3 x 7
5
125
6. f 1(x) 3 x 8
Original content Copyright ? by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
209
Name _______________________________________ Date __________________ Class __________________
7.
8.
T-table values 24,3,0, -3, -24 9. d 3 4V
10. 7.3 in.
Original content Copyright ? by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
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