Algebra 1
Chapter 8 Quiz Review
Know:
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(definitions)
Function
Domain
Range
Vertical line test
Independent
Dependent
Function notation
Square root
Linear
Non-linear
Increasing
Decreasing
Rate of change
Continuous
discrete
Understand that:
 Equations, tables and graphs of functions
are related.
 Function notation simplifies writing
complex algebraic statements.
Name ___________________
H3A H5A H1B H5B K1A K2A
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Do: (I can…)
 Convert between a table an equation and
a graph.
 Use the vertical line test to determine if a
graph is a function.
 Construct graphs of real world situations.
 Interpret graphs of real world situations.
 Evaluate functions.
 Write and interpret functions.
 Describe graphs accurately using
appropriate vocabulary.
 Graph a parabola using a table.
 Solve equations using square root
1. Thoroughly describe how to determine whether or not a graph is a function.
2. Find whether or not each graph represents a function.
3. Does a horizontal line represent a function? Why or why not?
4. Does a vertical line represent a function? Why or why not?
5. For each relationship, identify the independent variable and the dependent
variable.
a. The temperature of a carton of milk and the length of time it has been out of
the refrigerator.
Dep ______________________ Indep _______________________
b. The weight suspended from a rubber band and the length of the rubber
band.
Dep ______________________ Indep ________________________
c. The diameter of a pizza and its cost.
Dep ______________________ Indep ________________________
6. Sketch a reasonable graph for each situation and label the axes.
a. The temperature of a pot of water as it is heated.
b. The distance from a Ferris-wheel rider to the ground during two revolutions.
a.
b.
7. Find the designated function values for f(x) = -3x + 5.
a. f(-3) = ________
b. f
2I
F
G
H3JK= _________
8. Find the designated values for g(x) = 2x2 + x – 3.
a. g(0) = ________
b. g(4) = _________
Show work.
c. f(-2.3) = ________
Show work.
d. g(-0.5) = ________
9. Sketch a graph of a continuous function to fit each description.
a. Linear and increasing, then linear and decreasing.
b. Increasing with a slower and slower rate of change.
c. Deceasing with a slower and slower rate of change, then increasing with a
faster and faster rate of change.
d. Increasing with a slower and slower rate of change, then increasing with a
faster and faster rate of change.
a.
10.
b.
c.
Make a chart of points and sketch the graph of y = x2.
d.
11.
Sketch a discrete function graph to fit each description.
a. Increasing with a constant rate of change.
b. Increasing with a slower and slower rate of change.
c. Increasing with a faster and faster rate of change.
a.
b.
c.
10. Find the domain and range of the following.
a. [(4, 3), (  , 5), (-7, 2), (0, 0), (3, 9)]
D: ____________________________
R: ____________________________
b. f(x) = –6x – 10
D: ____________________________
R: ____________________________
c. . f(x) = 3x2
D: ____________________________
R: ____________________________
d. f(x) = –6x – 10
D: ____________________________
R: ____________________________
e.
D: ____________________________
R: ____________________________
f.
D: ____________________________
R:
____________________________
11. Tell if the following sets of data represent a function. Explain.
a. [(-4, 9), (-2, 5), (0, 0), (2, 5), (4, 9)] ________ ______________________
______________________________________________________________
b.
x
0
2
y
-3
-7
4
2
0
________ _______________________
-10
-13
-15
________________________________
12. Tell if the following relationships represent function. Explain.
a. (a person, natural hair color) ________
________________________________
________________________________
________________________________
b. (people, natural hair color) ________ _______________________________
______________________________________________________________
c. (height of a person, the age of the person) ________
__________________________________________
__________________________________________
d. (height, age of several people) ________ ___________________________
______________________________________________________________
13. Explain the following terms using complete sentences and your own words.
a. Domain: ________________________________________________________
_______________________________________________________________
b. Range: _________________________________________________________
_______________________________________________________________
c. Continuous graph: ________________________________________________
_______________________________________________________________
d. Discrete graph: ___________________________________________________
_______________________________________________________________
14. Label the axes with variable names and scale values. Write a story that could be
modeled by this graph. Your story should account for each segment of the graph and
should mention specific values, including rates.
______________________________
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___________________________________
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