Introduction to Functions

What is the definition of function?

• Has inputs and outputs
• Every input has only ONE output
• Inputs have different outputs every time
• x-values and y-values

Is this graph a function or not a function? (Use the vertical line test)

• Function

• Not a Function

Is this graph a function or not a function? (Use the vertical line test)

• Function

• Not a Function

• -67

• 67

• 77

• -77

Find f(3)

• 5

• 4

• 3

• 0

The y-intercept shows.....

• the maximum height that the graph reaches.

• the time that the graph reaches ground level.

• the height that the object started at.

• the minimum height that the graph reaches.

Which of the following statements is true about the graph shown?

• f(20) = 3

• f(20) > f(7)

• There is no y- intercept.

• There is no x- intercept.

Tyler is filling a bathtub with water. Function B gives the depth of the water, in inches, t minutes after he begins filling the tub. Explain the meaning of B(9) = 11.

• The temperature of the water is 11 after 9 minutes.

• The tub has 9 inches of water after 11 minutes.

• The tub has 11 inches of water after 9 minutes.

The graph shows the height of a rocket and of a drone as a function of time. Select all true statements.

• The drone is decreasing in height over the interval of 5 seconds to 7 seconds.

• The rocket reaches a max height of 45 feet at 2 seconds.

• r(3) < d(3)

• d(2) > d(6)

• The rocket and drone are at the same height at approximately 4.5 seconds.

Determine f(-1).

• -10

• -7

• -4

• -1

• 2