VOCAB - Rational Functions

Front

What is a Rational Function?

Back

A function that can be expressed as the ratio of two polynomials.

Front

Define a rational number.

Back

A number that can be made by dividing two integers.

Front

What determines the Horizontal Asymptote of a rational function?

Back

It is determined by comparing the degree of the numerator to the degree of the denominator.

Front

What is a Discontinuous Graph?

Back

A function that has jumps, breaks, and/or holes.

Front

What is an Asymptote?

Back

A line the graph approaches but never touches.

Front

What is the difference between a removable and non-removable discontinuity?

Back

A removable discontinuity can be 'fixed' by redefining the function at that point, while a non-removable discontinuity cannot.

Front

What is a Vertical Asymptote?

Back

A vertical line that a graph approaches as the input approaches a certain value, often where the function is undefined.

Front

What is the Y-intercept of a function?

Back

The point where the graph intersects the Y-axis.

Front

What is the degree of a polynomial?

Back

The highest exponent of the variable in the polynomial.

Front

How do you find the domain of a rational function?

Back

Identify values that make the denominator zero and exclude them from the domain.