FUNCTIONS UNIT REVIEWName____________________________Date______________Period__________

1. In your own words, write the definition of a function.

Determine if the relation is a function. Justify your answer.

2. {(-5, 1), (-4, 3), (0,0), (1,2), (4,7)}

3. 4.

4. What is f(4) if f(x) = 3x-7 ?

5. What is f(2) if f(x) = -5x+6 ?

6. Based on the information below, which bathtub will empty first? Why?

FUNCTIONS UNIT REVIEWName____________________________Date______________Period__________

7. Assume the rates below will remain consistent. Who will win the hot dog eating contest? Why?

8. Label the tables linear or nonlinear:

FUNCTIONS UNIT REVIEWName____________________________Date______________Period__________

10. Determine whether the graph represents a linear or nonlinear function.

11. Draw an example of a linear function on the graph.

12. Circle the equations that represent nonlinear functions.

y = 7x – 9 y = |x| y = 1/x

13. Write an equation that represents a linear function:

FUNCTIONS UNIT REVIEWName____________________________Date______________Period__________

The graph shows the distance Miguel biked in a day.

14. Use the graph to write an equation showing how many miles, d, Miguel will bike in any number of minutes, t.

15. Use the equation you made in problem #14 to find the number of miles Miguel will travel in 125 minutes.

The table shows the number of shoppers in a store on the first 4 days of its grand opening.

Day Shoppers1 250

2 310

3 370

4 430

16. Use the table to write an equation showing the number of shoppers, s as a function of the day, d the store has been open.

17. Using the equation you made in problem #16, determine how many shoppers the store owner should expect on day 8.

FUNCTIONS UNIT REVIEWName____________________________Date______________Period__________

Sketch a graph to match each of the following stories. Label key features of your graph.

18. Your science teacher has the beaker shown below. He is going to fill them from a faucet that is flowing at a constant rate. Sketch a graph of the height of the water as a function of time.

19. A recent NFC playoff game flooded the internet social media with facebook posts. Considering the amount of posts from fans of both teams (Seahawks and 49ers), create a graph of the number of facebook posts as a function of time throughout the game. Include pre-game, Russell Wilson’s fumble (first quarter), Kaepernick’s career best 58 yd. run (second quarter), Seahawk’s interception after Sherman tips the ball (fourth quarter- final seconds of the game), post-game (Sherman’s smack talk to the media).