Academic Algebra I
Chapter 3.1-3.3 Classwork
Name_______________________________
Show ALL WORK!
Choose the graph that best represents each situation. (1pt each)
1. A person leaves home, drives through town, then
on the highway, and finally stops at a rest area.
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2. A person leaves home, drives to the other end of
town and buys groceries, then returns home.
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3. A person walks to a friend’s house where she
stays overnight.
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(2pts)
4. Franco’s heart rate increases steadily as he does
some warm-up exercises. He then maintains a
steady heart rate for several minutes as he jogs.
Finally, his heart rate slows down to normal with his
cool-down walk. Sketch a graph to show Franco’s
heart rate over time as he exercises. Tell whether
the graph is continuous or discrete.
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Write a possible situation for each graph. (2pts each)
5.
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6.
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Express each relation as a table, as a graph, and as a mapping diagram. (4pts each)
7. {(3, 5), (2, 4), (1, 1), (1, 3)}
x
y
8.{(2, 0), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5)}
x
y
Give the domain and range of each relation. Tell whether the relation
is a function. Explain. (4pts each)
9.
10.
11.
x
y
1
1
2
2
3
3
4
4
5
5
D: ____________________
D: ____________________
D: ____________________
R: ____________________
R: ____________________
R: ____________________
Function? ______________
Function? _____________
Function? _____________
Explain: ______________
Explain: ______________
Explain: _____________
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Determine a relationship between the x- and y-values. Write an
equation. (2pts each)
13. {(1, 4), (0, 2), (2, 2), (5, 8)}
12.
x
2
1
0
1
y
4
1
0
1
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Identify the independent and dependent variables. Write a rule in
function notation for each situation. (3pts each)
14. Meg earns a $5 flat fee plus $4.50 per
student for a tutoring session.
15. Jeb is allowed 2 hours less television
time per week than his older brother.
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Evaluate each function for the given input values. (3pts each)
16. For f(x)  3x  2, find f(x) when x  4 and when x  1. _________________ __________________
17. For g(x)  6x, find g(x) when x  5 and when x  3. __________________ __________________
18. For h(x)  x2  4, find h(x) when x  2 and when x  7. _________________ _________________
Complete the following. (3pts)
19. A fitness class is being offered twice a week for four weeks. The registration fee is $8.50
and the cost for each class attended is $4.75. Write a function rule to describe the total cost of
the class. Find a reasonable domain and range for the function.