Functions Unit Review

Which of the following represents a function?

• A. A only

• B. B only

• C. Both A and B

• D. Neither A nor B

A graphed line has a slope of -3 and passes through the point (-5, 11). Which equation represents the line?

• y = -3x + 11

• y = -5x – 3

• y = -3x – 4

• y = -5x + 11

Which is a true statement about the graph shown?

• It represents a function because it is a straight line.

• It represents a function because it passes the vertical line test.

• It does not represent a function because it doesn’t contain (0, 0).

• It does not represent a function because it is not proportional.

4. Ariel is baking cupcakes to give out at the school carnival. The graph below shows the number of cupcakes left to bake and the number of hours she has spent baking. Write an equation in slope-intercept form to represent the situation.

• y = -30x + 160

• y = -25x + 140

• y = 30x + 160

• y = -40x + 150

Which is a true statement?

• A. Ariel needs 200 cupcakes for the carnival.

• B. Ariel bakes 30 cupcakes per hour.

• C. After 2 hours, Ariel has finished half of the cupcakes needed.

• D. Ariel will be done in under 5 hours.

Which of the following equations represents a non-linear function?

• y = -4x + 2

• y = -4x²

• y = -4

Which correctly describes the graph?

• Linear; function

• Non-linear; function

• Non-linear; not a function

• Linear; not a function

Does the table below represent a linear function? Why or why not?

• Yes; the table shows a constant rate of change.

• No; the table does not show a constant rate of change.

• Yes; all the y-values are positive

• No; this is not a function.

10. Keira and Tyra are sewing pillowcases for their community service project. The relationship between x, the number of hours spent working and y, the number of pillowcases sewn for each person, is shown below. Who is sewing pillowcases at a faster rate?

• Keira

• Tyra

• Both at the same rate

• Cannot be determined

Which of the following graphs does NOT represent a functional relationship between x and y?

• A

• B

• C

• D