Lesson 15: Comprehension Check

Does the graph represent a function? How can you tell?

• Yes, because every input has exactly one output.

• Yes, because the inputs have more than one output.

• No, because every input has exactly one output.

• No, because the inputs have more than one output.

Which function represents the rule for the table?

• Yes

• No

• 40

• 8

• 1

• 13

Which point could be REMOVED to make the graph represent a function?

• (-2, 1)

• (1, -2)

• (2, 5)

• Graph is already a function.

• Yes, a function.

• No, not a function.

• Yes, a function.

• No, not a function.

Which of the following is NOT true about the graph?

• The graph represents a function.

• Every input has exactly one output.

• Every input has the same output.

• Every output has the same input.

Which of the following represents a linear function?

• 
• 
• 
• 

Sierra wants to know how long it will take to bike 12km at different speeds. If she keeps a steady pace, she can use the following rule to find the time for each speed:

Input (x) ; Output (y): 12 divided by x.

Will this function be linear or nonlinear?

• The function is nonlinear because its initial value is positive.

• The function is nonlinear because its rate of change varies.

• The function is linear because it has a constant rate of change.

• The function is linear because its initial value is positive.

Answer explanation

The initial value does NOT change a functions shape. Those responses can be eliminated.

If you create a table or graph by choosing some values of x, you will find that the rate of change is NOT constant. Therefore, this is NONLINEAR.