2.4 Graphs of Functions

2.4 Graphs of Functions

Question 1

Tansy is enjoying a quiet Sunday morning at home when she decides to walk down the street to buy a newspaper. She then returns home and does the crossword puzzle. Identify the stages of Tansy's trip on the graph of her distance from home over time.

Multiple Choice

The part of the trip in which Tansy's distance from home is decreasing is part ___.

• 1

• 2

• 3

• 4

Multiple Choice

The part of the trip in which Tansy is away from home but her distance from home is not changing is part ___.

• 1

• 2

• 3

• 4

Multiple Choice

The part of the trip in which Tansy's distance from home is increasing is part ___.

• 1

• 2

• 3

• 4

Question 2

Jamaal drives away from home at a constant speed (1). He reaches the edge of a school zone and slows down (2), and then he drives slowly past the school (3). He speeds up again when the speed limit increases (4), and then he drives the speed limit (5).

This graph shows Jamaal's distance from home over time. Identify the parts that are linear and nonlinear.

Multiple Choice

Part 1 of Jamaal's trip is ___.

• linear

• nonlinear

Multiple Choice

A part of Jamaal's trip that shows a nonlinear relationship between time and distance is part ___.

• 2

• 3

• 5

Multiple Select

A part of Jamaal's trip that shows a linear relationship between time and distance is part ___.

• 1

• 2

• 3

• 4

• 5

Question 3

Multiple Choice

Lakisha quickly fills up a kiddie pool. Water flows in at a constant rate. However, the pool has a small hole in the bottom, and the water steadily and slowly leaks out until the pool is empty. Which graph could represent this scenario?

Question 4

Multiple Choice

Which scenario could be represented by the graph?

• The chunk of ice on the sidewalk steadily melted until it was gone.

• Millie jogs around a circular track. The x-axis represents time; the y-axis represents her distance from the center of the track.

• As the days pass, my carrots get taller and taller.

Question 5

Multiple Choice

Part 1 is ___.

• linear

• nonlinear

Multiple Choice

Part 2 is ___.

• linear

• nonlinear

Multiple Choice

The rate of change in part 2 is ___.

• negative

• positive

• zero