AP Precalculus Units 1 and 2A Review

Front

What is an extremum in a function?

Back

An extremum is a point in the domain of a function where the function takes on a maximum or minimum value.

Front

How do you determine the number of extrema in a function's graph?

Back

Count the number of peaks (maxima) and valleys (minima) in the graph.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you find the domain of a rational function?

Back

Identify values that make the denominator zero; these values are excluded from the domain.

Front

What does it mean for a function to approach a limit as x approaches infinity?

Back

It describes the behavior of the function's output (y-values) as the input (x-values) increases without bound.

Front

What is the end behavior of a polynomial function?

Back

The end behavior describes how the function behaves as x approaches positive or negative infinity.

Front

How do you determine the end behavior of a polynomial function?

Back

Look at the leading term of the polynomial; its degree and leading coefficient determine the end behavior.

Front

What is an x-intercept of a function?

Back

An x-intercept is a point where the graph of the function crosses the x-axis, meaning the output (y-value) is zero.

Front

How do you find the x-intercepts of a function?

Back

Set the function equal to zero and solve for x.