Average Rate of Change in Functions

What is another term for the rate of change?

• Derivative

• Integral

• Intercept

• Slope

How is the slope of a function calculated?

• Product of X and Y values

• Change in X divided by change in Y

• Sum of X and Y values

• Change in Y divided by change in X

What should you create to keep track of X and Y values?

• A bar graph

• A histogram

• A pie chart

• An XY chart

What are the given X values in the first example?

• 0 and 1

• 2 and 3

• 0 and 2

• 1 and 2

What is the Y value when X is 0 in the first example?

• 3

• 0

• 2

• 1

What is the rate of change for the interval [0, 2] in the first example?

• 3

• 2

• 1

• 0

What is the function used in the second example?

• x^3 + x^2 - 6

• 3x^3 - 2x^2 + 6

• 2x^2 - 3x + 1

• x^2 - x

What is the Y value when X is 2 in the second example?

• 22

• 582

• 0

• 140

What is the Y value when X is 6 in the second example?

• 140

• 0

• 582

• 22

What is the rate of change for the interval [2, 6] in the second example?

• 560

• 140

• 22

• 582