Domain MODULE 13 Functions and Inverses - NOHS Teachers

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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

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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

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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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