Domain and Range Student Pages

Name: _________________________________ Domain and Range

Region 4 Education Service Center Supporting STAAR Achievement: Algebra 1 All rights reserved.

Sneak Peek: Domain and Range For each problem, answer the questions, complete the table, and graph the relationship.

Problem A: Ride tickets at the county fair cost $2 each. 1. Describe the possible values for the number of tickets that could be purchased.

2. Describe the possible values for the total amount of money spent on ride tickets.

Number of Ride Tickets

Total Amount Spent ($)

Problem B: A swimming pool has a volume of 8,500 gallons of water. It is being drained at a rate of 500 gallons per hour. 1. Describe the possible values for the number of hours to drain the pool.

2. Describe the possible values for the volume of water remaining in the pool.

Number of Hours

Volume of Water

Remaining (gal)

Sum It Up: Decide who will be Partner 1 and Partner 2. Partner 1 will describe what domain means. Partner 2 will rephrase the meaning of domain in a shorter version. Then Partner 2 will describe what range means, and Partner 1 will rephrase the meaning of range in a shorter version.



Whats the Difference? x Cut apart the Graph Cards. x Sort the cards into two groups: Group A and Group B. x Use the Venn diagram below to compare and contrast the two groups.

Description of Cards in Group A: _________________________

_________________________

_________________________

_________________________

Description of Cards in Group B: _________________________

_________________________

_________________________

_________________________

Group A

Group B

Domain and Range


Graph Cards Cut along the dotted lines.



Domain and Range x Match the Graph Cards with each situation and attach the graphs in the appropriate spaces. x Label the axes for each graph and complete the information requested for each situation.

1. Gillian received a $15 gift card to download music for her mp3 player. Each song costs $1.50. Circle One: Discrete or Continuous Write the set of all possible x-values: { ________________________________ } Write the set of all possible y-values: { ________________________________ } Can Gillian purchase 14 songs? Why or why not?

Graph Card

2. Karyn is driving 40 miles per hour. Her total trip is 160 miles. Circle One: Discrete or Continuous What are the smallest and largest values of x that give a point on the graph? Smallest:_______ Largest:______ Write the set of all possible x-values

(between the smallest and largest values of x): {________ xd d ________} What are the smallest and largest values of y that give a point on the graph? Smallest:_______ Largest:______ Write the set of all possible y-values

(between the smallest and largest values of y):

{________ yd d ________}

Graph Card

Domain and Range


3. Mauricea rides her bicycle 15 miles per hour

on the trail. The trail is 20 miles long. Circle One: Discrete or Continuous Write the set of all possible x-values: {________ xd d ________} Write the set of all possible y-values: {________ yd d ________} How many hours does it take Mauricea to get to the end of the trail? How do you know?

Graph Card

4. Merle pays an initial fee of $20 to join an unlimited movie rental service. There is an additional cost of $15 every two months to maintain membership. Merle is a member of the movie service club for one year.

Circle One: Discrete or Continuous Write the set of all possible x-values: ___________________________________ Write the set of all possible y-values: ___________________________________

Graph Card

Domain and Range


Cut along the bold dotted lines.

Think Inside the Box 1. Use horizontal and vertical lines to draw a box around the graph shown below. Be sure that

no part of your graph is outside of the box. Be sure that the sides of your box are touching the graph, using the smallest box possible. Use your pencil to shade the interior of your box.

2. Highlight the left side and the right side of your box. Record the smallest number and largest

number when looking at your box from left to right.

Smallest number ______ Largest number _____

Write the set of all x-values: _________________. These values are called the __________________.

3. Using a different color, highlight the top and

bottom of your box. Record the smallest number and largest number when looking at your box from bottom to top. Smallest number ______ Largest number _____

Write the set of all y-values: _________________. These values are called the __________________.

Think Inside the Box 4. Use horizontal and vertical lines to draw a box around the graph shown below. Be sure that

no part of your graph is outside of the box. Be sure that the sides of your box are touching the graph, using the smallest box possible. Use your pencil to shade the interior of your box.

5. Highlight the left side and the right side of your box. Record the smallest number and largest

number when looking at your box from left to right.

Smallest number ______ Largest number _____

Write the set of all x-values: _________________. These values are called the __________________.

6. Using a different color, highlight the top and

bottom of your box. Record the smallest number and largest number when looking at your box from bottom to top. Smallest number ______ Largest number _____

Write the set of all y-values: _________________. These values are called the __________________.


Region 4 Education Service Center Supporting STAAR Achievement: Algebra I All rights reserved.

Domain and Range Graphic Organizer

DOMAIN RANGE

My Definition: My Definition:

Discrete Function

What is the domain of the graph shown?

What is the range of the graph shown?

Continuous Function

What is the domain of the graph shown?

What is the range of the graph shown?

Domain and Range


Cut along the bold dotted lines. Three sets are provided.

Answer Bank*

^ `y0 150d d ^ `15, 25, 30, 40, 50, 55, 60, 70

^ `10, 20, 30, 40, 50, 60, 70, 80, 90 ^ `x0 8d d

Answer Bank*

^ `y0 150d d ^ `15, 25, 30, 40, 50, 55, 60, 70

^ `10, 20, 30, 40, 50, 60, 70, 80, 90 ^ `x0 8d d

Answer Bank*

^ `y0 150d d ^ `15, 25, 30, 40, 50, 55, 60, 70

^ `10, 20, 30, 40, 50, 60, 70, 80, 90 ^ `x0 8d d

Answer Bank*

^ `y0 150d d ^ `15, 25, 30, 40, 50, 55, 60, 70

^ `10, 20, 30, 40, 50, 60, 70, 80, 90 ^ `x0 8d d



Imagine the Possibilities Find the domain and range for each situation. 1.

3. Winnie is driving at a constant rate. It takes

her 4 hours to drive 232 miles from her home in Dallas to her parents house in Houston, Texas. She creates a graph of distance versus time for the trip using the equation d = 58t.

Domain: _____________________________ Range: ______________________________

Domain: _____________________________ Range: ______________________________

2.

^ `3, 2 ,( 1,4),( 1,7),(0,3),(1,5),(2,5)

4.

Hei

ght

(met

ers)

Time (seconds)

Domain: _____________________________ Range: ______________________________

Domain: _____________________________ Range: ______________________________

Domain and Range


5.

7.

4 10y x

for all prime numbers less than 15

Domain: _____________________________ Range: ______________________________

Domain: _____________________________ Range: ______________________________

6. A senior citizens group is making fruit

baskets and plans to sell them as a fundraiser. They are able to make 10 fruit baskets and want to sell them for $35 each.

8.

input output

3 3.25

1 3.75

1 4.25

3 4.75

5 5.25

Domain: _____________________________ Range: ______________________________

Domain: _____________________________ Range: ______________________________

Domain and Range


Imagine the Possibilities Hints*

Hint for Problem 1:

Would a table of values representing the ordered pairs included on the graph help you?

Consider using the table provided below.

Hint for Problem 3:

Would sketching a graph representing the situation be helpful?

Consider using the graph provided below.

Hint for Problem 5:

How could Think Inside the Box be helpful?

Hint for Problem 7:

A prime number is a number, greater than 1, whose only factors are 1 and the number itself.

Would graphing the function on your graphing calculator be helpful?

Hint for Problem 2:

Which values are the x-values?

Which values are the y-values?

Hint for Problem 4:

How could Think Inside the Box be helpful?

Hint for Problem 6:

Would making a table of values representing all of the possible values for this situation?

Consider using the table provided below.

Hint for Problem 8:

Which values correspond to the x-values?

Which values correspond to the y-values?



Evaluate: Domain and Range 1. Kiera was driving in her neighborhood and approached a stop sign. When she applied the

brakes, it took 4.5 seconds to come to a complete stop from a speed of 20 miles per hour. If Kiera creates a graph of her speed versus time as she applies the brakes, which of the following would describe the domain for her graph?

A 0 20xd d

B 0 4.5xd d

C 0 20yd d

D 0 4.5yd d

2. The graph below shows the height of a ball thrown from the top of a building. Which inequality

best describes the range of the graph?

Hei

ght

(fee

t)

Time (seconds)

A 0 4.4xd d

B 0 95xd d

C 0 4.4yd d

D 0 95yd d

Domain and Range


3. The graph below shows the total cost of parking in a downtown garage. Which of the following describes the range of the graph?

Tota

l Cos

t ($

)

Months

A {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}

B {50, 100, 150, 200, 250, 300, 350, 400, 450}

C {105, 2, 135, 4, 195, 5, 225, 8, 315, 9, 345, 11, 405}

D {105, 135, 165, 195, 225, 255, 285, 315, 345, 375, 405}

4. The graph below shows the height of a rocket launched from the ground. Which inequality best

describes the domain of the graph?

Hei

ght

(fee

t)

Time (seconds)

A 0 10xd d

B 0 400xd d

C 0 10yd d

D 0 400yd d

Documents

Domain and Range Student Pages