Algebra I Test

Unit Three –Functions

Good Luck To______Period_____Date______

Vocabulary: Define each word and give an example.

  1. Range (of a function)
  1. Relation

Short Answer:

  1. Describe how to tell from a graph of a relation if the relation is a function.
  1. Write in words how to read the following:
  1. What are the four ways to represent a function?

Review:

  1. Find the sum.
  1. Evaluate when .
  1. Write the associative property of multiplication. Use a specific numerical example to illustrate the property.
  1. Use the data in the stem-and-leaf plot below. Evaluate the median of the data.

04 4 5 9

10 1

2

30 2 6 9

Problems:

**Be sure to show all work used to obtain your answer. Circle or box in the final answer.**

  1. Use the relation .
  1. Graph the relation.B. State its domain and range. C. Is the relation a function?
  1. Use the function .
  1. Complete the input-output table.B. Graph the function.C. Find the value of the function when .
Input (x) / Output (y)
0
1
2
3
  1. Evaluate the function for the given value of x:
  1. Find the value of if .
  1. Use the input-output tables to answer the questions that follow.
  1. Does the data in the table represent a function?B. Does the data in the table represent a function?

If yes, describe the domain and range.If yes, describe the domain and range.

x / y
8 / 9
4 / 5
6 / 1
8 / 3
x / y
7 / 7
1 / 6
0 / 1
2 / 7
  1. The cost of running an advertisement in the newspaper is $10.00 plus $.50 per word.
  1. Write a linear equation for the cost C of an advertisement that isw words long.
  1. Complete the input-output table.

# of
Words (w) / Cost (C)
50
100
150
200
250
300
350
  1. Graph the function. Label the axes.
  1. Calculate how much it would cost for a 403-word advertisement.

Multiple Choice Questions: Circle the best answer.

  1. For , what is ?
  1. Which graph below represents a function?

A.

B.

C.

D.

  1. Which sentence represents the equation , where y represents Karla’s age and x represents the age of her cousin?
  1. Karla is 2 years older than 5 times the age of her cousin.
  1. Karla is 2 years younger than 5 times the age of her cousin.
  1. Karla is 5 years older than twice the age of her cousin.
  1. Karla is 5 years younger than twice the age of her cousin.

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