AP Precalculus Unit 1 Review

Front

What does it mean for a function to be positive?

Back

A function is considered positive when its y values are above the x-axis.

Front

How do you find the average rate of change of a function between two points?

Back

Front

What does it mean for a function to be increasing on an interval?

Back

A function is increasing on an interval if, as x increases, the y values also increase.

Front

What is the significance of concavity in a function's graph?

Back

Concavity indicates the direction of the curvature of the graph: concave up means the graph opens upwards, while concave down means it opens downwards.

Front

What is the average rate of change of a function?

Back

The average rate of change of a function over an interval is the change in the function's value divided by the change in the input value.

Front

What does it mean for the average rate of change to be decreasing?

Back

The average rate of change is decreasing if the function's output values are increasing at a slower rate as the input values increase.

Front

What is a polynomial function?

Back

Front

What is the relationship between the graph of a function and its average rate of change?

Back

The graph of a function can show whether the average rate of change is increasing or decreasing based on the slope of the tangent lines.

Front

What does it mean for a function to have a constant rate of change?

Back

A function has a constant rate of change if the change in the output value is the same for equal changes in the input value.

Front

How can you describe a function that is increasing and concave down?

Back

A function that is increasing and concave down has a positive slope that is decreasing as x increases.