Unit 11 Lesson 1 - Average and Instantaneous ROC

What is the average rate of change in calculus often referred to as?

• Slope of a tangent line

• Slope of a vertical line

• Slope of a secant line

• Slope of a horizontal line

If f(x) = x^2, what is the average rate of change from x = 1 to x = 2?

• 1

• 2

• 3

• 4

As the interval between two points on a curve decreases, what happens to the slope of the secant line?

• It remains constant

• It becomes infinite

• It approaches the slope of the tangent line

• It becomes zero

What mathematical process is used to find the slope of a tangent line at a specific point?

• Evaluating a limit

• Solving an equation

• Differentiation

• Integration

For the function f(x) = 3x^2 - 4x, what is the slope of the tangent line at x = 0?

• -4

• 0

• 4

• 10