AP PreCalc / Rate of Change

What’s the concavity of an increasing rate of change?

Concave up

What’s the concavity of a decreasing rate of change?

Concave down

Describe this curve’s rate of change.

Positive constant

Describe this curve’s rate of change.

Negative constant

Describe this curve’s rate of change.

Positive decreasing

Describe this curve’s rate of change.

Negative decreasing

Describe this curve’s rate of change.

Negative increasing

Describe this curve’s rate of change.

Positive increasing

Describe the rates of change within the four sections of graph f.

Negative increasing, positive increasing, positive decreasing, negative decreasing

What’s the difference between an increasing rate of change vs increasing function?

Increasing rate of change is any concave up function, while an increasing function means the value of y has overall gone up.

This describes an object’s movement (a straight line). What’s the object’s rate of change, and is it speeding up or slowing down?

4, neither speeding up nor slowing down

Describe the graphing function’s behavior.

Increasing at an increasing rate

Describe the graphing function’s behavior.

Increasing at a decreasing rate

Describe the graphing function’s behavior.

Decreasing at an increasing rate

Describe the graphing function’s behavior.