CCM1 UNIT 3 REVIEW
Name: ____________ Date:______Pd:___
Be prepared to:
 Write Next-Now and Input-Output Rules from given sequences
 Know the difference between Recursive and Explicit Equations
 Know how to find x and y values when given function notation
 Know what function notation means “in context” of the problem
 Translate Functions
 Match graphs and scenarios
 Describe a graph
 Sketch a graph from a given situation
1. Sketch a graph to represent the situation. Identify the Independent and Dependent Variables. Label
each section with increasing, decreasing, or constant. Also include linear and nonlinear. Label your axes.
A. The temperature of the water decreases over the first few hours in the
refrigerator.
B. The sales of the company have increased steadily over the years.
C. The temperature changed as Shelly preheated the oven, cooked the
bread, and turned the oven off.
Write the function t(x) for each of these transformations:
4. Translate the graph of f(x) = x 2 left 10 units
5. Translate the graph of f(x) = x right 6 units
t(x)=
t(x)=
6. Translate the graph of f(x) = 2x + 4 left 5 units
7. Translate the graph of f(x) = x 2 down 1 unit and right 8 units
t(x)=
t(x)=
Examine the equation (labeled 𝑓(𝑥)) and its corresponding equation (labeled 𝑡(𝑥)). Describe
the translations below.
8. 𝑡(𝑥) = 𝑓(𝑥 + 7)
9. 𝑡(𝑥) = 𝑓(𝑥 − 6) + 5
10. The function f(x) gives the amount of rainfall the past year, with x measured in days and
f(x) measured in inches of last year’s mean rainfall.
a. What is the real-world meaning of f(50)?
b. What is the real-world meaning of f(x) = 10?
c. What is the real-world meaning of f(20)=f(45)?
11. Use the graph of y  f (x) at the right to answer each question.
a) What is the value of f (5) ?
b) What is the value of f (8) ?
y = f (x)
c) For what value(s) does f ( x)  4 ?
d) For what value(s) does f ( x)  1 ?
e) How many x-values make the statement f ( x)  2 true?
13. What is the difference between recursive and explicit equations?
14. On a graph, how do you know if you have a function? Explain.
Identify the domain and range of each relation. Determine whether the
relation is a function.
15. {(–3, 6), (0, 2), (1, 0), (2, –3)}
16. {(–1, –4), (0, 0), (1, 4), (2, 8)}
Find the range of each function for the given domain.
17. f (x) = –2x + 1; {–2, 0, 2, 4, 6}
18. f (x) = x2 – 7; {–2, –1, 0, 3, 4}
12. Use the graph below to answer the following questions.
a. What is f(0) for this graph?
b. Find the value of x when f(x) = 200
c. What is 𝑓(4) for this graph?
d. Find the value of x when 𝑓(𝑥) = 500.
f(x)
700
600
500
400
300
200
100
x
0
2
4
6
8
10
12
14
19.
Blood Pressure
Define each interval then describe in context what is happening in each interval.
Increasing? Decreasing? Linear? Nonlinear? Constant?
8:00
10:00
12:00
Time
Interval 1
Interval 2
Interval 3
Interval 4
For the table, determine whether the relationship is a function. Explain why. Then write
an INPUT-OUTPUT rule for each table.
20.
Each set of ordered pairs represents a function. Write a rule that represents the function.
21. (0, 0), (1, 3), (2, 6), (1, 9), (0, 12)
22. (0, –8), (1, –7), (2, –6), (3, –7), (4, –6)