Graphs of Functions and Non-Functions

Which statement is true about the rate of change of the two functions?

• Both functions have negative rates of change.

• Both functions have positive rates of change.

• Function 1 has a negative rate of change, while that of Function 2 is positive.

• Function 1 has a positive rate of change, while that of Function 2 is negative.

Peter ran to get to school from his house. He stopped to pick up his friend Janet from her house when he realized that forgot his math books. He then ran back to his house to get the books.

Which of these graphs best models Peter's the distance from home?

• 
• 
• 
• 

The graph shows a jogger’s progress during a workout. The jogger runs a total distance of 3 miles, and the complete workout lasts 25 minutes. Which statement is true?

• The jogger moves at a constant rate of 1 mile every 9 minutes during the first 9 minutes of the workout.

• The jogger moves at a faster rate during the first 5 minutes of the workout than at any other time.

• The jogger moves for only 19 minutes of the workout because the graph only shows a change in distance from minutes 0−7, 9−12, 14−17, and 19−25.

• The jogger moves for only 19 minutes of the workout because the graph only shows a change in distance from minutes 7−9, 12−14, and 17−19.

Which statement is true?

• The graph is decreasing and linear when x is less than −1.

• The graph is decreasing and linear when x is between −1 and 1.

• The graph is decreasing and linear when x is more than 2.

• The graph is decreasing and nonlinear when x is more than 2.

Which of these best describes the behavior from A to B in the given graph?

• linear and increasing

• non linear and increasing

• linear and decreasing

• non linear and decreasing

The 2 tables show a relationship between x and y values. What do the 2 linear functions have in common?

• y-intercept

• x-intercept

• 2 common points

• identical slopes

A student rides a bike to the grocery store, shops, and then returns home. The graph illustrates the distance the student is from home in relation to time, broken into four different phases.

Which statement best describes phase 2

of the graph?

• The student arrives and shops at the grocery store.

• The student decreases the bike speed significantly.

• The student returns home.

• The student rides the bike at a faster constant speed.

The point where the graph crosses the x-axis is called the __________

• x-intercept

• y-intercept

The graph of a linear function is a __________

• circle

• line

• parabola

• ellipse

The y-intercept is a point where the graph crosses the __________

• x-axis

• origin

• boundary

• y-axis