Unit 3- Relations and Functions - Algebra 1
Name: __________________________________
Unit 3: Relations and Functions
Date: ________________________
Homework 4: Function Notation
& Evaluating Functions
** This is a 2-page document! **
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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