FIND THE DOMAIN AND RANGE OF A RELATION GRAPH WORKSHEET

Problem 1 :

Identify the values of the domain for the following relation :

A) {-2, 0, 1, 3}        B) {-3, -2, 0, 1, 2}

C) {-2, -1, 0, 1, 2, 3}     D) {-3, 0, 1, 2} 

Solution

Problem 2 :

Identify the values for the domain of the function :

A)  {-2, -1, 0, 1, 2}

B) {(1, -2), (-1, -1), (2, 0), (1, 1), (2, 2)}

C) {-1, 1, 2}

D) {(-2, 1), (-1, -1), (0, 2), (1, 1), (2, 2)}

Solution

Problem 3 :

List the range for the following function.

{(2, 3), (4, 5), (3, 4), (7, 8)}

A) {3, 4, 5, 8}           B) {2, 3, 4, 7}

C) {2, 3, 4, 5, 7, 8}       D) {2, 3, 3, 4, 4, 5, 7, 8}

Solution

Problem 4 :

Identify the values of the range for the following relation :

{(2, 3), (5, 7), (7, 9), (4, 8)}

A) {2, 5, 7, 4}             B) {2, 3, 4, 8}

C) {2, 8}                     D) {3, 7, 9, 8}

Solution

Problem 5 :

Identify the range for the following relation :

A) {-2, -1, 3, 5}                    B) {-1, 0, 4, 7}

C) {-2, -1, 0, 3, 4, 5, 7}        D) {0, 1, 4, 7}

Solution

Problem 6 :

To graph the equation y = 3x - 7,

Renita created the following table of values.

Which y -value corresponds to 7?

A)   21    B)  28      C) 14      D)  -4

Solution

Problem 7 :

A relation is graphed as shown.

Find all the values that are in the domain of this relation.

Solution

Problem 8 :

Florida’s state marine mammal is the manatee. A manatee eats about 12% of its body weight each day.

a. Write an equation in function form that represents the amount y (in pounds) of food a manatee eats each day for its weight x.

b. Create an input-output table for the equation in part (a). Use the inputs 150, 300, 450, 600, 750, and 900

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

d. An aquatic center has manatees that weigh 300 pounds, 750 pounds, and 1050 pounds. How many pounds of food do all three manatees eat in a day? in a week?

Problem 9 :

The number of earrings and headbands you can buy with $24 is represented by the equation 8x + 4y = 24. The table shows the number of earrings and headbands.

a. Write the equation in function form.

b. Find the domain and range.

Problem 1 :

D = {-1, 0, 2, 7, 9}, function: ‘add 3’.

Solution

Problem 2 :

D = {-2, -1, 0, 1, 2}, function: ‘square and then divide by 2’.

Solution

Problem 3 :

D = {x | -2 < x < 2}, function: ‘multiply x by 2 then add 1’.

Solution

Problem 4 :

D = {x | -3 ≤ x ≤ 4}, function: ‘cube x’.

Solution

Problem 5 :

For the domain {0, 1, 2, 3} and the function ‘subtract 2’, find the range.

Solution

Problem 6 :

The domain of the function represented by 2x + y = 8 is −2, 0, 2, 4, and 6. What is the range of the function represented by the table?

Solution

Problem 7 :

The table shows the percent y (in decimal form) of the moon that was visible at midnight x days after January 24, 2011.

(a) Interpret the domain and range.

(b) What percent of the moon was visible on January 26, 2011?

or 54% of the moon was visible on January 26, 2011

Solution

Problem 8 :

In the sport of vaulting, a vaulter performs a routine while on a moving horse. For each round x of competition, the vaulter receives a score y from 1 to 10.

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

b. Interpret the domain and range.

c. What is the mean score of the vaulter?

Solution