Function Notation Worksheet
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1Name __________________________________________________ Date _________________
Function Notation Homework
SOLVE AND SHOW ALL WORK ON SEPARATE PAPER. THIS PAGE WILL NOT BE GRADED!
#1 – 16. Evaluate the following expressions given the functions below:
12
x
2
g(x) = -3x + 1
f(x) = x
+ 7
h
(
x
)
j
(
x
)
2
9
x
1. g(10) =
2. f(3) =
3. h(–2) =
6. 2j(0.5) – 3g(0)
4. j(7) =
5. f(-2) + h(6)
9. j(d – 1)
7. h(a)
8. g(b+c)
11. Find x if h(x) = –2
10. Find x if g(x) = 16
12. Find x if f(x) = 23
13. g(h(4)) =
14. j
f(3) =
15. h(f(– 1)) =
16. g
j(– 2) =
17. Given
. Fill in the table and then sketch a graph.
f
(
x
)
3
4
x
x
f(x)
-6
-3
0
1
-5
Is f(x) a function?
-1
18. Given the table, determine if it is a function and then evaluate it for f (2), f (4) and f
(5).
x
f(x)
-1
5
0
3
2
5
3
1
5
-2
#19 – 25. Given this graph of the function h(x), find the following.
y
19. h(–4) =
5
f(x)
20. h(0) =
21. h(3) =
22. h(-5) =
23. x when h(x) = 2
24. x when h(x) = 0
x
-5
5
25. What is the domain and range of h(x) above?
Is it a function?
-5
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