function notation worksheet

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Name: ___________________________________________
Period: __________
Function Notation Practice
1. Evaluate the following expressions given the functions below:
g(x) = 3x - 1
f(x) = x2 + 7
h( x) 
12
x
j( x)  2 x  9
a. g(10) = ___________
b. f(3) = ___________
c. h(–2) = ___________
d. j(7) = ___________
e. h(6) = ___________
f.
g(0) = ___________
g. j(0) = ___________
Find x, given the following:
h. Find x if g(x) = 20
x = __________
i. Find x if j(x) = 13
x = __________
2. Translate the following statements into coordinate points (x,y):
a. f(–1) = 1
___________
b. h(2) = 7
___________
c. g(1) = –1
___________
d. k(3) = 9
___________
Name: ___________________________________________
Period: __________
3. Given this graph of the function f(x):
f(x)
5
y
x
-5
5
-5
Find:
a. f(–4) = ______
b. f(0) = _____
e. x when f(x) = 4
f. x when f(x) = 0
x =_________
c. f(3) = ______
d. f(-5) = _________
x = ____________
4. (Review) Is the table below a linear function? Explain how you know.
x
y
0
2
1
3
2
4
5
7
-1
1
APPLICATION
5. Swine flu is attacking Porkopolis. The function below determines how many people have
swine where t = time in days and S = the number of people in thousands.
S (t )  9t  4
a. Find S(4).
b. What does S(4) = ______ mean?
c. Find t when S(t) = 23.
d. What does S(______) = 23 mean?
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