Functions and Rate of Change

What is the initial value of this graph?

• 1

• -2

• 0

• 3

Peter sets down his cup of coffee and it begins to cool off at a constant rate. What is the rate of change in the temperature of his coffee?

• -20 °F per minute

• -½ °F per minute

• -10 °F per minute

• -2 °F per minute

Which ordered pair is NOT represented in the function map?

• (9, -3)

• (10, -3)

• (8, -1)

• (13, 5)

Which statement about the graph is not true?

• The graph is a proportional relationship

• The rate of change is 40 miles per hour

• The relationship is not linear because it does not make a straight line

• After 4 hours, the distance traveled is 160 miles

Travis is saving money to buy a new bike. Which rule correctly shows this relationship?

The function r(x) represents the radius of a circle for a given area, x. A graph of the function is shown in the figure. According to the graph, what is the approximate average rate of change in the radius of the circle as the area increases from 3 square feet to 7 square feet?

• 0.125 foot per square foot

• 0.25 foot per square foot

• 0.5 foot per square foot

• 8 feet per square foot

Caleb tossed a ball while standing on a bridge. The graph below represents y, the height, in feet of the ball, x seconds after it was thrown upward from the bridge. At what time interval does the ball experience the greatest rate of change?

• 0 < x < 1

• 1 < x < 2

• 3 < x < 4

• 4 < x < 5

The graph represents the change in the amount of the battery's capacity (in % charged) as a function of time (in minutes). Which unit would be appropriate for the rate of change in the graph?

Which of the following statements are true? Select all that apply.

• The graph is increasing when the domain is -6 < x < -4

• The y-intercept of the function is (4, 0)

• The graph is decreasing when x ≤ -6

• The graph is positive on the interval x > -6

• The range is all real numbers