A2 Graphing Rational and Reciprocal Functions

Front

What is a horizontal asymptote?

Back

A horizontal asymptote is a horizontal line that the graph of a function approaches as the input values (x) approach positive or negative infinity.

Front

What is a vertical asymptote?

Back

A vertical asymptote is a vertical line that the graph of a function approaches as the input values (x) approach a specific value where the function is undefined.

Front

Define a rational function.

Back

Front

What is the domain of a rational function?

Back

The domain of a rational function is all real numbers except where the denominator is equal to zero.

Front

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

Back

Front

What is the range of a rational function?

Back

The range of a rational function is all real numbers except for the value of the horizontal asymptote.

Front

What does it mean to translate a function?

Back

Translating a function means shifting its graph horizontally and/or vertically without changing its shape.

Front

What is the parent function of a rational function?

Back

Front

How do you identify vertical asymptotes from a rational function?

Back

Vertical asymptotes can be found by setting the denominator of the rational function equal to zero and solving for x.

Front

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

Back

The x-intercept is the point where the graph crosses the x-axis, found by setting the numerator equal to zero.