Unit 3- Relations and Functions - Algebra 1

Name: __________________________________

Unit 3: Relations and Functions

Date: ________________________

Homework 4: Function Notation

& Evaluating Functions

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If f ( x ) = ?3 x ? 2 , find each value.

2. f (?7)

1. f (3)

3. f (?2) + 9

If h( x ) = x 2 ? 5 x + 7 , find each value.

? Gina Wilson (All Things

Algebra?, LLC)

4. h(2)

If g( x ) = 1 ?

7. g (?12)

5. h(?5)

3

x , find each value.

4

8. g (0)

6.

1

? h(?8)

3

9. ?5 ? g (4) ? 1

If h( x) = 1? 7 x , find each value.

10. h(1)

11. h(?7)

12. 23 ? h(9)

14. f (2 ? k )

15. f (4 p + 3)

If f ( x ) = 8 ? 5 x , find each value.

13. f (4c)

For questions 16-19, use the functions f ( x ) = ? x 2 + 8 x ? 11 , g( x ) = 14 ?

to find each function value.

16. f (?4) ? f (1)

? Gina Wilson (All Things

Algebra?, LLC)

18. h(8) ? 2 ? f (3)

22. Given p( x) =

17. g (9) + h(?14)

19.

20. Given f (x) = 2x + 9, if f (x) = 15, find x.

x+7

, if p (x) = 13, find x.

3

For questions 24-27, use the graph below.

2

x , and h( x ) = ? x ? 7

3

1

g (?6) + f (?2)

2

21. Given h( x) = ? x ? 14 , if h (x) = -2, find x.

23. Given g ( x) = ?

3

x ? 9 , if g (x) = -48, find x.

2

24. Find f (-1).

25. Find f (4).

26. Find f (-3).

27. If f (x) = 9, find x.

? Gina Wilson (All Things

Algebra?, LLC)

Name: __________________________________

Unit 3: Relations and Functions

Date: ________________________

Homework 5: Zeros of Functions

Directions: Identify the zeros of the function given the graph.

1.

2.

3.

4.

6.

5.

Directions: Identify the zeros of the function algebraically.

7. f ( x) = x + 2

8. f ( x) = ?2 x + 6

10. f ( x) = 2 x + 10

11. f ( x) = ?

2

x+4

5

9. f ( x) =

1

x ?6

3

12. f ( x) = 4 x

Directions: Identify the zeros of the function using your graphing calculator.

13. f ( x) = x 2 ? 9

14. f ( x) = x 2 ? 2 x ? 15

15. f ( x) = x 2 ? 5 x + 6

16. f ( x) = x 3 ? 6 x 2 + 3 x + 10

17. f ( x) = x 3 ? 2 x 2 ? x + 2

18. f ( x) = x 4 ? 5 x 3 + 20 x ? 16

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