AP Precalculus Unit 1 Refresh

Front

What is the definition of a polynomial function?

Back

Front

What is the significance of the intervals where a function is positive?

Back

The intervals where a function is positive indicate where the function's output is greater than zero, which is important for understanding the function's behavior and for solving inequalities.

Front

How do you find the horizontal asymptote of a rational function?

Back

Front

What is a vertical asymptote?

Back

Front

What is the average rate of change of a function?

Back

Front

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

Back

Front

What is a sign analysis chart?

Back

A sign analysis chart is a tool used to determine the intervals where a function is positive, negative, or zero by analyzing the signs of the function's factors.

Front

How do you determine the intervals where a polynomial function is non-negative?

Back

To determine the intervals where a polynomial function is non-negative, find the roots of the polynomial, create a sign analysis chart, and test intervals between the roots.

Front

What is the relationship between the degree of a polynomial and its end behavior?

Back

The degree of a polynomial determines its end behavior: if the degree is even, both ends go in the same direction; if odd, the ends go in opposite directions.

Front

What is the definition of an asymptote?

Back

An asymptote is a line that a graph approaches but never touches. It can be vertical, horizontal, or oblique.