Precalc. AB Semester Final Part 2

Front

What is a rational function?

Back

Front

What are asymptotes in the context of rational functions?

Back

Asymptotes are lines that the graph of a function approaches but never touches. They can be vertical, horizontal, or oblique.

Front

How do you find vertical asymptotes of a rational function?

Back

Vertical asymptotes occur where the denominator of the rational function is zero and the numerator is not zero at those points.

Front

What is the horizontal asymptote of a rational function?

Back

The horizontal asymptote is determined by the degrees of the polynomials in the numerator and denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y=0.

Front

How do you find the inverse of a function?

Back

To find the inverse of a function, swap the x and y variables and solve for y.

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, found by evaluating the function at x=0.

Front

What does it mean for a function to be increasing or decreasing?

Back

A function is increasing on an interval if the output values rise as the input values increase. It is decreasing if the output values fall as the input values increase.

Front

What is exponential decay?

Back

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

Back

The point (0, 3.25) represents the y-intercept of the function, indicating the value of the function when x=0.