AP Precalculus Final Review

Front

What is the definition of an exponential function?

Back

Front

What is the definition of a logarithmic function?

Back

Front

What does it mean for a function to have a multiplicity of 1 at a root?

Back

A root with multiplicity 1 means that the function crosses the x-axis at that point, indicating a simple root.

Front

How do you determine if a function is exponential or logarithmic based on a table of values?

Back

If the input values change multiplicatively and the output values change additively, the function is logarithmic. If the input values change additively and the output values change multiplicatively, the function is exponential.

Front

What is the end behavior of a polynomial function?

Back

Front

Back

Front

What is the significance of the leading coefficient in a polynomial function?

Back

The leading coefficient determines the direction of the graph's end behavior: if positive, the graph rises to the right; if negative, it falls to the right.

Front

What is the difference between a function and its inverse?

Back

A function takes an input and produces an output, while its inverse takes the output and returns to the original input.

Front

What is the general form of a quadratic function?

Back

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it never assigns the same value to two different domain elements, meaning it has an inverse.