Name:    Quiz 4.1 - 4.2

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

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

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

5.

 x 0 1 2 y –7 –5 –3 –1
 a. domain: , 0, 1, 2;  range: –7, –5, –3, –1 b. domain: 1, 2, 3, 4;  range: , 0, 1, 2 c. domain: –7, –5, –3, –1;  range: , 0, 1, 2 d. domain: 1, 2, 3, 4;  range: –7, –5, –3, –1

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

6.

 a. domain: ,range: ;continuous c. domain: ,range: ;discrete b. domain: ,range: ;discrete d. domain: ,range: ;continuous

1.

Is the equation in function form? Explain.

2.

Is the equation in function form? Explain.

Complete the input-output table for the function. Then find the domain and range of the function as represented by the table.

3.

 x 0 1 2 y

4.

x – 7
 x 0 4 8 12 y

5.

The function represents the amount a of money (in dollars) that you have after buying n music CDs. Graph the function using a domain of 0, 1, 2, and 3. Is the domain discrete or continuous?

6.

The function converts length from x meters to y yards. Graph the function. Is the domain discrete or continuous?

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?