Functions and Story Graphs

For the piecewise functions shown, what is h(2)?

• 9

• -6

• -16

• 8

(Match the story to the correct graph below) Pay CLOSE attention to the distance vs. time, and speed vs. time graphs.

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Answer explanation

Please re-read the story and pay attention on the X and Y axis (distance vs. time) and (speed vs. time) to figure out why this is the correct answer before moving on to the next question.

Which statement is correct?

• F

• G

• H

• J

• Line 1

• Line 2

• Line 3

Between which seconds is the line DECREASING?

• Between 7 and 12 seconds

• Between 0 and 1 seconds

• Between 1 and 5 seconds

• Between 12 and 13.5 seconds

Between which seconds is the line INCREASING?

• Between 7 and 12 seconds

• Between 0 and 1 seconds

• Between 1 and 5 seconds

• Between 12 and 13.5 seconds

Each section of the graph is for 5 minutes. Why does the graph not begin on the y-axis?

• Rose did not begin walking away from home and to the park right away.

• Rose walked really slowly at the beginning and didn't get very far.

• Rose ran at the beginning so fast, it was hard to see her distance from home.

• Rose went to a friends house before heading to the park.

The piecewise function f(x) is graphed. What is f(2)?

• 0

• 2

• -6

• -4

What is g(7) if:

• -17

• -13 

• 13       

• 17

(Match the story to the correct graph below) Pay CLOSE attention to the distance vs. time, and speed vs. time graphs.

• 
• 
• 
• 

Answer explanation

Please re-read the story and pay attention on the X and Y axis (distance vs. time) and (speed vs. time) to figure out why this is the correct answer before moving on to the next question.