Linear and Nonlinear Functions Graphs

Does the graph represent a function?

• The graph is a function because it passes the vertical line test.

• The graph is a function because it passes the horizontal line test.

• The graph is not a function because it fails the vertical line test.

• The graph is not a function because it fails the horizontal line test.

Why does the graph represent a linear function? Select two answers.

• The graph has an equation that can be written in the form y = mx + b.

• The graph has an initial value other than 0.

• The graph increases or decrease at a constant rate.

• The graph crosses the x and y axis.

Which of the following graphs represent a function?

• 
• 
• 
• 

Which of the points below can be removed from the graph to make it function?

• (-5,1)

• (-1,2)

• (1, 6)

• (-3,-3)

The graph shows the area in square feet Sally has left to paint. The equation A = 392 - 14x gives the square feet Lisa has left to paint as a function of time in minutes. Which statements are true? Choose all the correct answers.

• Sally and Lisa both have 360 ft2 left to paint at the start.

• Lisa paints more square feet per minute than Sally.

• Lisa will finish painting before Sally.

• After 10 minutes of painting, Sally will have less to paint than Lisa.

• After 20 minutes of painting, Lisa will have more to paint than Sally.

Is this graph linear or non linear?

• Linear

• Non Linear

Petra opens a new bookstore and pays the book publisher $3.00 for each book he buys from them. The amount Petra pays is given by f(x)=3x, where x is the number of books purchased. Graph the first 4 points of the function, start with f(0).

(a)  

• F

• G

• H

• J

Hans opens a new video game store and pays the gaming companies $5.00 for each video game he buys from them. The amount Hans pays is given by f(x)=5x, where x is the number of video games purchased. Plot the first 3 points in the function.

What is happening at A and E?

• Thr runner stopped running.

• The runner is running at a constant speed.

• The runner is decreasing their speed.

• The runner is increasing their speed.