Input/Output Functions Graphs

Compare the 4

functions shown in the box.

Which has a positive slope?

• Only Function 1

• Only Function 3

• Both functions 1 & 3

• Both functions 2 & 3

Which function has a greater y-intercept, and why?

• Function 2 has a greater y-intercept because 5 > 3.

• Function 1 has a greater y-intercept because 5 > 3.

• Function 2 has a greater y-intercept because -1/2 > -3.

• Function 1 has a greater y-intercept because -1/2 > -3

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.

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.

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.

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.

• Yes, because each x-value has only one y-value paired with it.

• No, because the x-value 11 has two y-values pair with it.

• No, because each x-value has only one y-value paired with it.

Which of these tables represents a function?

• W

• Y

• Z

• X

Which relation diagram represents a function?

• Z

• Y

• X

• W

All of the x values or inputs are called what?

• Domain

• Range

• Relation

• Function