Day 3: Describing Functions

Day 3:

Open Ended

Does this table represent a function?

How did you test it?

Multiple Choice

Determine the slope of this table of values shown.

• 1/10

• -10

• 10

• 15

Intervals

• Between two values or points

• To name an interval:

  Focus on the domain, # < x < #

• Increasing: B: 2 < x < 4

• Decreasing: A: 0 < x <2; D: 5 < x < 8

• Constant: C: 4 < x < 5

Use the graph of the function to answer the following questions

Multiple Select

Name an interval of x where the function is linear.

• 0 < x <2

• 2 < x < 4

• 5 < x < 6

• 6 < x < 10

Fill in the Blanks

Name an interval where the function is increasing.

Fill in the Blanks

Name an interval of x where the function is decreasing linearly.

Open Ended

What is happening in the interval where x is between 2 and 4?

Antonio and Juan are in a 4-mile bike race. The graph below shows the distance of each racer (in miles) as a function of time (in minutes).

Open Ended

a. Who wins the race? How do you know?

Open Ended

Imagine you were watching the race and had to announce it over the radio; write a little story describing the race.