Find the Rate of Change for Quadratics

Use the given function or the graph to find the average rate of change

• 5

• -1/5

• -5

• 15

f(x) = 2x² + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2].

• 2

• 1/2

• -2

• -1/2

What is the average rate of change from x=0 to x=1

• -3

• 3

• 0

• 2

What is Mrs. Gordon's rate from 0 to 2 seconds?

• 2.5 feet per second

• 0.4 feet per second

• 5 feet per second

• 0.2 feet per second

The graph shows the distance, y, in yards, from the start of a beach to the edge of the water as the tide changes x hours after the distance is first recorded.

What is the average rate of chahnge on the interval from x=0 to x=6?

• A

• B

• C

• D

Two functions are shown below. Quadratic function, f(x), is represented in the graph below. Quadratic function, g(x), is represented in the table. Which function has a greater average rate of change over the interval -2 < x < 1?

• f(x)

• g(x)

Answer explanation

The graph shows a ball thrown into the air. What is the average speed of the ball going up (in feet per second)? (Hint: Calculate the Average Rate of Change between the y-intercept and the vertex (0

Mathematical Equivalence

OFF

What is the rate of change from [1,2]

• 1

• -1

• 2

• 3

What is the rate of change from [-2,0]

• 2

• 4

• 0

• -2

What is the rate of change of f(x) over the interval [0, 2]?

• -2

• 2

• 3/2

• 2/3