Quadratic Average Rate of Change

Another name for Rate of Change is _______

• Axis of Symmetry

• Slope

• Y intercept

• Parabola

Identify where the function is decreasing.

• -3 to 0 

• 0 to 3 

• -3 to 3 

• Never 

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

• 18

• -9

• 9

• 3

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

• -3

• 3

• 0

• 2

• 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 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

Mathematical Equivalence

ON

What is the average rate of change from x = 2 to x = 3?

What is the difference in the average rate of change between the functions over the interval from t = 0 to when the pumpkin reaches maximum height? Provide evidence of how you arrived at your answer.

Evaluate responses using AI:

OFF