Name ________________________________________ Date ___________________ Period ___
Standards: MGSE9-12.F.IF.2 Use function notation, evaluate functions for inputs in their domains, and
interpret statements that use function notation in terms of a context.
Essential Question: What does it mean to evaluate a function?
Function Notation
1. Evaluate the following expressions given the functions below:
g(x) = -3x + 1 f(x) = x
2
+ 7
h x
x
( )
12
j x x( ) 2 9
a. g(10) =
b. f(3) =
c. h(–2) =
d. j(7) =
e. h(a)
f. g(b+c)
g. f(h(x))
h. Find x if g(x) = 16
i. Find x if h(x) = –2
j. Find x if f(x) = 23
2. Translate the following statements into coordinate points:
a. f(–1) = 1
b. h(2) = 7
c. g(1) = –1
d. k(3) = 9
3. Given this graph of the function f(x):
Find:
a. f(–4) =
b. f(0) =
c. f(3)
d. f(-5)
e. x when f(x) = 2
f. x when f(x) = 0
4. Find an equation of a linear function given h(1) = 6 and h(4) = –3.
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.
49)( ttS
a. Find S(4).
b. What does S(4) mean?
c. Find t when S(t) = 23.
d. What does S(t) = 23 mean?
e. Graph the function
f(x)
y
x
5
5
-5
-5
