AP Precalculus Unit 1 Review

Front

What does the average rate of change in a function represent?

Back

The slope of the function.

Front

What is the point of inflection on a graph?

Back

Where the concavity of the function changes.

Front

Assuming the scale is 1, where is f(x) > 0?

Back

(-4, -1) U (2, +oo)

Front

Which scenario best represents a function with a wait time followed by a slow return?

Back

Jackson ran to try and catch a bus at a stop near his house. He waited two minutes at the stop but realized he had missed the bus. So he slowly walked home.

Front

What does it mean when a function's concavity changes?

Back

It indicates a point of inflection on the graph.

Front

Define the term 'slope' in the context of a function.

Back

The slope is the measure of the steepness of a line, representing the rate of change of the function.

Front

What is the significance of the x-intercept in a function?

Back

It is the point where the function crosses the x-axis, indicating where f(x) = 0.

Front

Explain the concept of 'end behavior' of a function.

Back

End behavior describes how the values of a function behave as the input approaches positive or negative infinity.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, f(x) also increases.

Front

What is a local maximum in a function?

Back

A local maximum is a point where the function value is higher than all nearby points.