Sketching and Interpreting Functions

Which table(s) represent linear functions?

• Table 1, only

• Tables 1 and 2, only

• Tables 1 and 3, only

• Tables 1, 2 and 3.

Finish this sentence.

• constant

• increasing

• decreasing

• input

The graph shows how a motorboat travels around a lake. What does the graph most likely show?

• The boat travels at a constant speed for 10 minutes, then stops.

• The boat travels at a constant speed for 10 minutes, then slows down.

• The boat steadily its speed for 10 minutes, then stops.

• The boat increases speed for 10 minutes, then travels at a constant speed.

A basketball player throws a ball upward from her hands, which are 5 feet above the ground. The basketball reaches a maximum height and then descends a few feet and becomes stuck in the net. Choose the graph that could represent the relationship between the height of the ball and time.

• 
• 
• 
• 

A bird flies out of its nest.  This graph represents the distance it flies from its nest (in meters) as a function of time (in seconds).

Place a X to mark the point on the graph that represents the bird’s greatest distance from its nest.

Place a O to mark the point that represents the bird’s return to its nest.

a

b

O

X

A bird flies out of its nest.  This graph represents the distance it flies from its nest (in meters) as a function of time (in seconds).

Place a X to mark the point on the graph that represents the bird’s greatest distance from its nest.

Place a O to mark the point that represents the bird’s return to its nest.

a

b

X

O

Match the following This graph shows the population of mice in a study, modeled as a function of time. The study begins on day 0 and ends on day 200. Select True or False for each statement.

• True

• The mouse population was the greatest around day 160.

• True

• The mouse population was decreased between day 40 and day 80.

• False

• There are two intervals of time where the mouse population decreases.

• True

• The least number of mice during the study was 130.

Match the following This graph shows the population of mice in a study, modeled as a function of time. The study begins on day 0 and ends on day 200. Select True or False for each statement.

• True

• The mouse population was decreased between day 40 and day 80.

• True

• The least number of mice during the study was 130.

• False

• There are two intervals of time where the mouse population decreases.

• True

• The mouse population was the greatest around day 160.

Describe the situation.

• Horsepower increases at an increasing rate and then increases slowly.

• Horsepower increases at a constant rate and then increases slowly.

Describe the relationship between the two quantities

• The number of texts increased at a constant rate, then was constant, and finally decreased at a constant rate.

• The number of texts decreased at a constant rate, then was constant, and finally increased at a constant rate.