Real World Domain

What is the range?

• the set of all x-values

• the set of all y-values

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the domain?

• the set of all x-values

• the set of all y-values

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

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

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 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 range of the situation?

• 0 < f(x) < 6

• 0 < f(x) < 2,000

• 0 < f(x) < 12,000

• 2,000 < f(x) < 12,000

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

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

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 kind of numbers can you use for the range here?

• all positive numbers; the miles just have to be ANY positive number

• all real numbers; the miles can literally be anything, including decimals

• the range, which is measuring miles, can be any positive real number (including decimals) up to 2100. The function stops at 2100 miles since he reaches Nevada.

Pedro is driving to Nevada. The distance d in miles he has left to travel, based on the hours driving h, can be modeled by the function:

d(h) = 2100 - 70h

How can you determine how long the trip will take?

• Set the distance = 0 and solve for h; the answer is 30 hours.

• Set the hours = 0 and solve for d; the answer is 70 hours.

• You can't figure it out since the function has lots of combinations of hours and miles.