Interpreting Function of Graphs

According to the graph, at what speed is this car traveling in miles per hour?

• 80 mph

• 20 mph

• 40 mph

• 160 mph

What is the rate of change demonstrated in this graph?

• 2 cm per hour

• ¹/₄ cm per hour

• ¹/₂ cm per hour

• 4 cm per hour

What does the rate of change represent in this situation?

• The sloth runs 1 feet in 3 minutes

• The sloth runs 3 feet in 1 minute

• The sloth runs fast

• The sloth runs 6 feet in 1 minute

List the types of intervals that the graph demonstrates in order.

• decreasing, constant, increasing, constant

• increasing, decreasing, constant

• increasing, constant, increasing, constant

• increasing, constant, decreasing, constant

• A.
• B.
• C.
• D.

Choose the correct corresponding statement in function notation that represents the minimum height.

• h(20)

• h(40)

• h(0)

• h(70)

Function d gives the distance of a boat from the dock t seconds after leaving the dock. Distance is measured in meters. Here is a graph that represents d. Select all statements in function notation that represent the situation.

• d(0) = 170

• d(30) = d(70)

• d(t) = 10 when t is 20

• d(170) = 0

• d(0) = 0

Which of the following statements are true about the function g(x)?  Select all that apply.

• The slope of the graph is -2.

• The function g(x) is an exponential function.

• When x increases by1, g(x) decreases by a factor of -2.

• The function can be represented by the equation g(x) = -2x.

• The function can be represented by the equation g(x) = -2x + 5.

Explain the meaning of f(4) = 16.

• The height is 16 feet at 4 seconds.

• The height is 4 feet at 16 seconds.

• A
• B
• C
• D