Function notation Worksheet
Functions and Inequalities NAME:_____________________
TOPIC C: Function Notation DATE:___________
1. Evaluate the following expressions given the functions below:
g(x) = -3x + 1 f(x) = x2 + 7 [pic] [pic]
a. g(10) = b. f(3) = c. h(–2) =
d. j(7) =
e. Find x if g(x) = 16 f. Find x if h(x) = –2 g. Find x if j(x) = 23
2. Given [pic]. Fill in the table and then sketch a graph.
|x |f(x) |
|-6 | |
|-3 | |
|0 | |
|1 | |
| |-5 |
3. Given [pic]. Fill in the table and then sketch a graph.
|x |f(x) |
|3 | |
|0 | |
|-10 | |
|-5 | |
| |6 |
4. Translate the following statements into coordinate points.
a. f(–1) = 1
b. f(2) = 7
c. f(1) = –1
d. f(3) = 0
5. 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) = -2
APPLICATION
7. 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.
[pic]
a. Find S(4).
b. What does S(4) mean?
c. Find t when S(t) = 23.
d. What does S(t) = 23 mean?
ANSWER KEY
1. Evaluate the following expressions given the functions below:
g(x) = -3x + 1 f(x) = x2 + 7 [pic] [pic]
a. g(10) = -29 b. f(3) = 16 c. h(–2) = -6
d. j(7) = 23
e. Find x if g(x) = 16 f. Find x if h(x) = –2 g. Find x if j(x) = 23
x= -5 x= -6 x= 7
2. Given [pic]. Fill in the table and then sketch a graph.
|x |f(x) |
|-6 |27 |
|-3 |15 |
|0 |3 |
|1 |-1 |
|2 |-5 |
3. Given [pic]. Fill in the table and then sketch a graph.
|x |f(x) |
|3 |2 |
|0 |1 |
|-10 |-3 |
|-5 |-2 |
|35 |6 |
4. Translate the following statements into coordinate points.
a. f(–1) = 1 (-1, 1)
b. f(2) = 7 (2,7)
c. f(1) = –1 (1,-1)
d. f(3) = 0 (3,0)
5. Given this graph of the function f(x):
Find:
a. f(–4) = 2 b. f(0) = 0 c. f(3) =around -1.75 d. f(-5) = 0
e. x when f(x) = 2 x = about -.75 f. x when f(x) = -2 x= 2
APPLICATION
8. 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.
[pic]
e. Find S(4). 32
f. What does S(4) mean?
After 4 days, how many people will have
Swine flu?
g. Find t when S(t) = 23.
t=3
h. What does S(t) = 23 mean?
How many days will it take for 23 thousand
People to get swine flu?
-----------------------
f(x)
y
x
5
5
-5
-5
f(x)
y
x
5
5
-5
-5
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