Functions review (word problems, domain)

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 input?

• Height in feet

• Height in inches

• Number of seconds that have passed

• Number of basketballs

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

Tags

CCSS.3.OA.D.8

CCSS.4.OA.A.3

CCSS.7.EE.B.3

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 happening?

• The basketball is bouncing off of the ground

• Someone threw the basketball from a certain height

• Someone is making basketballs at a factory

• Someone is shooting a basketball

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.

If h(2) = 68 what does that mean?

h(2) means that the basketball was at a height of _____ feet after _____ seconds

• h(2) means that the basketball was at a height of __2___ feet after __68___ seconds

• h(2) means that the basketball was at a height of __68___ feet after __4___ seconds

• h(2) means that the basketball was at a height of __68___ feet after ___2__ seconds

• h(2) means that the basketball was at a height of __2___ feet after ___2__ seconds

Tags

CCSS.HSF.LE.B.5

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.8.F.A.1

CCSS.HSF.IF.A.1

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

To find how many miles are left after driving for 3 hours we would plug in the number 3 and it would look like this:

• F(3) = 250 – 55

• F(3) = 250 -55(3)

• F(3) = 250 -55(0)

• F(x) = 3

Tags

CCSS.HSF.IF.A.2

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

Enter the number of miles George has left on his trip after 2 hours of driving.

• 100

• 140

• 150

• 145

Tags

CCSS.HSF.LE.B.5

A pizza artist puts a pizza in the oven for 30 minutes. Let P(x) = 0.5x² + 65 represent the temperature of the pizza x minutes after you put it in the oven.

The input is:

• The variable x, temperature

• The variable x, minutes

• The function P(x), minutes

• The function P(x), temperature

A pizza artist puts a pizza in the oven for 30 minutes. Let P(x) = 0.5x² + 65 represent the temperature of the pizza x minutes after you put it in the oven.

The output is:

• The variable x, temperature

• The variable x, minutes

• The function P(x), minutes

• The function P(x), temperature

A pizza artist puts a pizza in the oven for 30 minutes. Let P(x) = 0.5x² + 65 represent the temperature of the pizza x minutes after you put it in the oven.

P(0) = 65 means that….

• The pizza was at 0 degrees after 65 minutes

• The pizza was 65 degrees at 65 minutes

• The pizza was at 65 degrees at 0 minutes

• There were 0 minutes and 65 pizzas