Quadratic Graphs Average Rate of Change

Another name for Rate of Change is _______

• Axis of Symmetry

• Slope

• Y intercept

• Parabola

Match the following

• 1 to 2.5

• Increasing

• (1,0) & (4,0)

• Vertex

• (0,2)

• Decreasing

• 2.5 to 4

• Y Intercept

• (2.5, 1)

• X Intercept

Given the table of f(x), find the average rate of change on the interval [-2,3]

When is the distance increasing?

• 0 to 6 seconds

• 0 to 2 seconds

• 6 to 15 seconds

• 2 to 6 seconds

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

• 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

What is the average rate of change from [0,1]?

• -3

• 3

• 0

• 2

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

• -3

• 3

• 0

• 2

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