Average Rate of Change of Quadratics

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

• 3

• -3

• 3/2

• -1/3

Find the average rate of change of f(x)=2x²+3x-1 from 1 to 2.

Hint: Use your table.

• 18

• -9

• 9

• 3

• 22.8 m/s
  

• 8.7 m/s
  

• 6.3 m/s
  

• 5.7 m/s
  

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

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

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

• -1/6

• 1/6

• -6

• 6

• The average rate of change of f(x) is greater than the average rate of change of g(x).

• The average rate of change of g(x) is greater than the average rate of change of f(x).

• The average rate of change of f(x) is the same as the average rate of change of g(x).

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

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