Functions, Linear Functions, and Function Notation

What does the notation f(x) mean? Select all that apply.

• The function f of x

• The dependent variable, y.

• The independent variable, x

• x is dependent upon y.

Function R gives the amount of rain measured by a rain gauge t hours since it started raining. The amount of rain is measured in millimeters.

Use function notation to represent this statement: Six hours after it started raining, the amount of rain was 37 millimeters.

Function d gives the distance of a boat from the dock t seconds after leaving the dock. Distance is measured in meters. Here is a graph that represents d. Select all statements in function notation that represent the situation.

• d(0) = 170

• d(30) = d(70)

• d(t) = 10 when t is 20

• d(170) = 0

• d(0) = 0

Which graph does NOT pass the vertical line test?

• Graph 1
• Graph 2
• Graph 3
• Graph 4

.

• Function
• Not a Function

Does the graph represent a function?

• Yes

• No

What is the rate of change demonstrated in this graph?

• 2 cm per hour

• ¹/₄ cm per hour

• ¹/₂ cm per hour

• 4 cm per hour

Is this a function? Explain.

• Yes; it passes the horizontal line test.
• No; it is not a straight line.
• Yes; it passes the vertical line test.
• No; there is a line connecting the dots.

What is x if
f(x) = -2?

• 4
• 0
• 3
• 8

Is this mapping a function or not a function? 

• Function
• Not a Function