Calculating Average Rate of Change with Quadratic Functions

What is another term for the average rate of change?

• Axis

• Slope

• Intercept

• Vertex

What is the average rate of change for the interval [0, 3] for the function f(x) = x^2 - 5x + 4?

• -2

• 2

• 0

• 4

What is the formula for the average rate of change in function notation?

• (f(a) + f(b)) / (a - b)

• (f(b) - f(a)) / (b - a)

• (f(a) - f(b)) / (b - a)

• (f(b) + f(a)) / (b + a)

What is the average rate of change for the interval [2, 5] for the function f(x) = x^2 - 5x + 4?

• 4

• 0

• -2

• 2

Why is function notation helpful when calculating the average rate of change?

• It keeps the order of x and y values organized

• It simplifies the calculation

• It eliminates the need for a calculator

• It provides exact values

What is the average rate of change for the interval [1, -3] using the graph of f(x) = x^2 - 3?

• 2

• -2

• -4

• 4

What is the y-value of f(1) for the function f(x) = x^2 - 3?

• 2

• 1

• 3

• -2

What is the average rate of change for the interval [-2, 2] for the function f(x) = x^2 - 3?

• 4

• -2

• 2

• 0

What does an average rate of change of zero indicate?

• A negative slope

• A vertical line

• A horizontal line

• A positive slope

What should you do if you encounter an average rate of change of zero?

• Change the interval

• Ignore it

• Recalculate to find an error

• Understand it indicates a horizontal line