Algebra 2
Unit 1 Review-Functions Forecast
Do NOT use a graphing calculator on this assignment!
1. a. Graph a discrete function below.
Name: ______________________
b. Graph a continuous function below.
2. Using the description, identify each of the following functions as discrete or continuous.
a) The height of a growing flower over time.
b) The number of miles Amanda walks as a function of the number of hours she walks.
State the domain and range of each relation. Then state whether the relation is a function. Explain
your reasoning.
3. { (-5,2) (4,10) (-5,2) (3,1) }
4. { (13,2) (0,6) (3,2) (-4,6) }
Given f ( x )  6 x  5 , find each value.
5. f(3)
Given
6. f(-3)
7. f(-5)
f ( x)  2 x 2  3 , find each value.
8. f(3)
9. f(-3)
10. f(-5)
Given each mapping diagram, write the corresponding set of ordered pairs and tell if each is a
function or relation. Explain your reasoning.
11.
12.
-5
0
7
0
2
6
14
-2
1
2
5
-3
1
8
Ordered Pairs:
Ordered Pairs:
Function or Relation: ___________
Reasoning:
Function or Relation: ___________
Reasoning:
Determine whether each is a function or a relation by using the vertical line test. Explain your
reasoning.
y
y


13.
14.
y

15.












x
x





















x




















Function or Relation: ___________ Function or Relation: ___________ Function or Relation: ________
Reasoning:
Reasoning:
Reasoning:
Solve each equation.
16. -4x - 6 = 8x + 10
17. 7x + 9 = -5(2x + 8)
18. 6 – (2x + 1) = 3

Find the domain and range (interval and inequality notation).
19.
20.
y
y









x










x
















Domain: _____________________
Domain: _____________________
Range: ______________________
Range: ______________________

y

y

21.
22.







x













x

















Domain: _____________________
Domain: _____________________


Range: ______________________
Range: ______________________

Label each graph with name, equation, domain and range (interval and inequality notation).
23.
24.
25.
26.
y
y
y
y












x
x
x




















x


















Name: _________
Name: _________
Name: _________
Name: _________
Equation: _______
Equation: _______
Equation: _______
Equation: _______
Domain: ________
Domain: ________
Domain: ________
Domain: ________
Range: _________
Range: _________
Range: _________
Range: _________


27.
28.
29.
30.
y
y

y
y











x
x












x








x


















Name: _________
Name: _________
Name: _________
Name: _________
Equation: _______
Equation: _______
Equation: _______
Equation: _______
Domain: ________
Domain: ________
Domain: ________
Domain: ________
Range: _________
Range: _________
Range: _________
Range: _________
31. Given f ( x ) | x |
a.
Write an equation that moves f(x) left 2 and down 3 units.
b. Write an equation that reflects f(x) across the x-axis, moves f(x) right 5 units and up 1
unit.
c.
Write an equation that has a vertical stretch of 2 units and horizontal shift 5 units to the
right.
32. Describe the transformation(s) that have occurred to the parent graph
f ( x)  x 2 in each of
the following:
a.
f ( x)  x  7  3
b.
f ( x)   x  2
33. Graph the following absolute value functions.
a. f ( x) | x  2 | 4
c.
f ( x)   x  4
b. f ( x)   | x  5 | 3

