Understanding Functions and Their Graphs

Which of the following is a function?

• A set of ordered pairs where each input has multiple outputs

• A set of ordered pairs where each input has exactly one output

• A set of ordered pairs where each output has multiple inputs

• A set of ordered pairs where each output has exactly one input

Is the function represented by the table linear or nonlinear?

• Linear

• Nonlinear

• Slope

• Y-intercept

• X-intercept

• Origin

Which of the following graphs represents a linear function?

• A graph with a straight line

• A graph with a curve

• A graph with a zigzag pattern

• A graph with a circle

Is the graph pictured a linear or nonlinear function?

• Linear

• Nonlinear

Which equation represents a linear function?

Determine if the graph is linear or nonlinear.

• Linear

• Nonlinear

Identify the common difference in the sequence: 45, 39, 33, 27, ...

• 6

• -6

• 12

• -12

Calculate the average rate of change from 10 to 30 minutes.

• 1 gallon per minute

• -1 gallon per minute

• 2 gallons per minute

• -2 gallons per minute

Which equation generates a graph containing the set of ordered pairs shown below? {(−10, 15), (0, 10), (10, 5), (20, 0)}