Name:    Chapter 4 Test

Multiple Choice
Identify the choice that best completes the statement or answers the question.

Find the domain and range of the function represented by the graph.

1.

 a. domain: –1, 1, 3;  range: –2, –1,  0, 1, 2 b. domain: 1, 2, 3, 4;  range: –2, –1,  0, 1, 2 c. domain: –2, –1,  0, 1, 2;  range: –1, 1, 3 d. domain: 1, 2, 3, 4;  range: –1, 1, 3

2.

 a. domain: –2, 0, 2, 4;  range: –4, –3, –2, –1 b. domain: –4, –3, –2, –1;  range: –2, 0, 2, 4 c. domain: 1, 2, 3, 4;  range: –2, 0, 2, 4 d. domain: 1, 2, 3, 4;  range: –4, –3, –2, –1

3.

The table shows the times and places in a cross-country running meet of four runners from the same team. Find the domain and range of the function represented by the table.
 Place taken 8 14 22 24 Time 13 min46 sec 13 min50 sec 14 min12 sec 14 min25 sec
 a. domain: 8, 14, 22, 24range: 13 min 46 sec, 13 min 50 sec, 14 min 12 sec, 14 min 25 sec b. domain: 13 min 46 sec, 13 min 50 sec, 14 min 12 sec, 14 min 25 sec range: 1, 2, 3, 4 c. domain: 13 min 46 sec, 13 min 50 sec, 14 min 12 sec, 14 min 25 sec range: 8, 14, 22, 24 d. domain:  1, 2, 3, 4range: 13 min 46 sec, 13 min 50 sec, 14 min 12 sec, 14 min 25 sec

4.

Describe the domain and range of the function y = .
 a. domain: all real numbers;  range: all real numbers greater than or equal to zero b. domain: all real numbers greater than or equal to zero;  range: all real numbers c. domain: all real numbers;  range: all real numbers less than or equal to zero d. domain: all real numbers less than or equal to zero; range: all real numbers

Describe the domain and range of the function. Is the domain discrete or continuous?

5.

 a. domain:  0, 1, 2, 3,range: 0, 2, 4, 6;continuous c. domain: 0, 1, 2, 3,range: 0, 2, 4, 6;discrete b. domain: ,range: ;discrete d. domain: ,range: ;continuous

Use the graph or table to write a linear function that relates y to x.

6.

 x –7 0 7 14 y 12 4 –4 –12
 a. y = x + 4 c. y = x – 4 b. y = x + 4 d. y = x – 4

7.

 x –7 0 7 14 y –2 6 14 22
 a. y = x – 6 c. y = x – 6 b. y = x + 6 d. y = x + 6

8.

 a. y = x + 3 c. y = x – 3 b. y = x – 3 d. y = x + 3

9.

 a. y = –2 c. y = x – 2 b. x = y – 2 d. x = –2

10.

Which equation does not belong with the other three?
 a. 11 = 3xy c. 22y = 6x b. y = x d. 11y = 3x

Does the equation represent a linear or nonlinear function? Explain.

1.

4x – 3y = –9

2.

The rectangular base of a rectangular prism has an area of  36 square centimeters. Is the volume of the prism a linear or nonlinear function of the height of the prism?

Other

1.

Extended Response  Each dolphin at a zoo is fed an amount of food equal to about 5% of its body weight each day.
a.   Write an equation in function form that represents the amount y (in pounds) of food a dolphin eats each day for its weight x.
b.   Create an input-output table for the equation in part (a). Use the inputs 140, 200, 260, 320, 380, and 440.
c.   Find the domain and range of the function represented by the table.
d.   The zoo has three dolphins weighing 150 pounds, 370 pounds, and 460 pounds. How many pounds of food do all three dolphins eat in a day? a week?