MIAP20S Date: _______________

Chapter 5 Review

1. The follwing is a graph of a relation.

a) Write the relation as a set of ordered pairs.

b) Determine the domain and range of the relation.

c) Does the following relation represent a function? Explain your reasoning.

2. The following relation is represented as a table of values.

a) Write the relation as an arrow diagram.

b) State the domain and range.

c) Does this relation represent a function? Explain your reasoning.

MIAP20S Date: _______________

3. The following relation is represented as an arrow diagram.

a) Write the relation as a table of values.

b) Write the relation in words.

c) Write the relation as a set of ordered pairs.

d) State the domain and range.

4. Which of the following arrow diagrams does not represent a function? Circle your choices.

a) b) c) d)

e) f) g) h)

MIAP20S Date: _______________

5. Tarin rides his bike home from school every day, a distance of 8 miles. This is the graph of his journey.

Describe each of the 4 line segments in the graph.

MIAP20S Date: _______________

6. Match each graph with the proper corresponding description.

1. __________ 2. __________ 3. __________4. __________

5. __________ 6. __________ 7. __________ 8. __________

7. Given the following functions: f ( x )=−3x+4 and g ( x )=2 x−5, determine the following.

a) f (3) b) f (−1) c) f (0)

1. Maryam ran from her home to the bus stop and waited. She realized that she had missed the bus so she walked home.

2. Habiba is climbing a hill. She climbed up the hill slowly, walked across the top, and then ran quickly down the other side.

3. Ria walked slowly along the road. She stopped to look at her watch, realized she was running late, and then started running.

4. Rimsha left her home for a run, but she was got tired and gradually came to a stop.

5. Cleo walked to the store at the end of her street, bought a bag of chips, and then ran all the way back home.

6. Kristen went out for a walk with some friends. She suddenly realized she had left her wallet behind. She ran home to get it and then had to run to catch up with her friends.

7. This graph is just plain wrong. How can Sally be in two places at once?

8. After a party, Katie walked slowly all the way home.

AB

C D

E F

G H

MIAP20S Date: _______________

d) g(−4) e) g(2) f) g(5)

g) Find x when f ( x )=−5 h) Find x when f ( x )=10

i) Find x when g ( x )=−20 j) Find x when g ( x )=14

8. Lexi had her car towed when it broke down. The function, C ( k )=4k+50, represents her cost, C, in dollars for the number of kilometers, k, that it was towed.

a) Calculate C (30 ). What does this represent?

b) Calculate C ( k )=250. What does this represent?

c) How much does it cost to tow her car 1 km?

d) What does the number “50” represent in the given function?

9. Determine the domain and range for each of the following graphs.

a) b) c)

MIAP20S Date: _______________

Domain Domain Domain

Range Range Range

d) e) f)

Domain Domain Domain

Range Range Range

g) h) i)

Domain Domain Domain

Range Range Range

10. Determine if the following table of values is linear or non-linear. Explain how you know.

a) b)

MIAP20S Date: _______________

c) d)

11. Use the given graph to answer the following questions.

a) State the independent and dependent variables.

b) Determine the rate of change for both Car A and Car B.

c) The horizontal and vertical intercepts for Car A and Car B.