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WorksheetsReal World Domain and Range
Total questions: 21
Worksheet time: 20mins
All of the y values or outputs are called what?
(a)
Joe had a summer job that pays $7.00 an hour and he worked between 15 and 25 hours every week. His weekly salary can be modeled by the equation: y = 7x, where y is his weekly salary and x is the number of hours he worked in a week. What is a reasonable range for this function?
{15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25}
{105, 112, 119, 126, 133, 140, 147, 154, 161, 168}
{y | 15 ≤ y ≤ 25}
{y | 105 ≤ y ≤ 168}
Joe had a summer job that pays $7.00 an hour and he worked between 15 and 25 hours every week. His weekly salary can be modeled by the equation: y = 7x, where y is his weekly salary and x is the number of hours he worked in a week. What is a reasonable domain for this function?
{15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25}
{105, 112, 119, 126, 133, 140, 147, 154, 161, 168}
{x | 15 ≤ x ≤ 25}
{x | 105 ≤ x ≤ 168}
The number of airplane trips, 𝑓(𝑝), needed to transport p people in one day can be found using the function f(p)=150p . If there are at most 750 people
transported by airplanes daily, what is the domain of the function for this situation?
The set of all integers from 0 to 5
The set of all integers from 0 to 150
The set of all integers less than or equal to 750
The set of all integers from 0 to 750
A plumber charges a $25 service fee and $50 per hour for at least one hour but not more than 4 hours. If 𝑥 represents the number of hours the plumber is at your house, the total cost for the plumber’s service is represented by 𝑓(𝑥) = 50𝑥 + 25.
What is a possible range for this situation?
{1,2,3,4}
{75,125,175,225}
{𝑥 | 1 ≤ 𝑥 ≤ 4}
{𝑦 | 25 ≤ 𝑦 < 225}
A plumber charges a $25 service fee and $50 per hour for at least one hour but not more than 4 hours. If 𝑥 represents the number of hours the plumber is at your house, the total cost for the plumber’s service is represented by 𝑓(𝑥) = 50𝑥 + 25.
What is a possible domain for this situation?
{1,2,3,4}
{75,125,175,225}
{𝑥 | 1 ≤ 𝑥 ≤ 4}
{𝑦 | 25 < 𝑦 < 225}
The height of a basketball after it bounces is represented by h(t) = -8t2 + 50t where h represents the height, in feet, and t represents the number of seconds that have passed since the ball bounced off the ground.
What is the output?
Height in feet
Height in inches
Number of seconds that have passed
Number of basketball
Pedro is driving to Nevada. The distance d he has left to travel, based on the hours driving h, can be modeled by the function:
d(h) = 2100 - 70h
What kind of numbers can you use for the domain here?
all positive numbers; the hours just have to be ANY positive number
all real numbers; the hours can literally be anything
all positive numbers up to and including h = 30; this is because it takes 30 hours to get there (the function would stop then)
all positive WHOLE numbers since you can't drive for part of an hour
Pedro is driving to Nevada. The distance d he has left to travel, based on the hours driving h, can be modeled by the function:
d(h) = 2100 - 70h
What does the 2100 tell you?
the range maximum; it's how fast Pedro is going to drive
the range maximum; it's how far Pedro is from Nevada at the start
part of the domain; it's how many hours it will take to get to Nevada
part of the domain; it's how far Pedro is from Nevada at the start
A construction company uses the function f(p), where p is the number of people working on a project, to model the amount of money it takes to complete a project. A reasonable domain for this function would be
positive integers
positive real numbers
both positive and negative integers
both positive and negative real numbers
Lily goes door-to-door in her neighborhood selling cookies. She receives $4 for each box sold. The greatest number of boxes that she sold after one hour is 5 boxes. Which of the following is a reasonable range of her hourly earnings?
A. 0 ≤ y ≤ 4
B. {0, 1, 2, 3, 4}
C. 0 ≤ y ≤ 20
D. {0, 4, 8, 12, 16, 20}
George is driving from Orlando to Jacksonville. The distance between the two cities is approximately 250 miles. His average speed is 55 miles per hour. The function that represents how many miles George has left on his trip after z hours is f(z) = 250 – 55z
What is the input?
Cars
Miles left to travel
Hours
Roads
The LNHS Lions stadium seats about 2,000 people. The tickets sell for $6 each. The function f(x) = 6x represents the situation where x is the number of people in attendance and f(x) is the amount of money LNHS makes as revenue.
What is the domain of the situation?
x is all real numbers
0 < x < 2,000
0 < x < 6 where x is all non-negative integers
X is the set of all whole numbers < 2,000
The height of a basketball after it bounces is represented by h(t) = -8t2 + 50t where h represents the height, in feet, and t represents the number of seconds that have passed since the ball bounced off the ground.
What represents the domain of this function?
Height in feet
Height in inches
Number of seconds that have passed
Number of basketballs
What is the domain?
the set of all x-values
the set of all y-values
What is the range?
the set of all x-values
the set of all y-values
A construction company uses the function f(p), where p is the number of people working on a project, to model the amount of money it takes to complete a project. A reasonable domain for this function would be
positive integers
positive real numbers
both positive and negative integers
both positive and negative real numbers
A dolphin jumps out of the water and then back into the water. His jump could be graphed on a set of axes where x represents time and y represents distance above or below sea level. The domain for this graph is best represented using a set of
integers
positive integers
real numbers
positive real numbers
