Rational Functions

Front

The domain are the ______ values.

Back

x

Front

What is the domain of the function if x≠ -4,5?

Back

x≠ -4,5

Front

What is the horizontal asymptote of a function?

Back

The horizontal asymptote is a line that the graph approaches as x approaches infinity.

Front

A line that the graph continually approaches but never touches is a(n) _____________________.

Back

asymptote

Front

What is the horizontal asymptote of the function given if the answer is y = 2?

Back

y = 2

Front

What does it mean if a function has a horizontal asymptote at y = 7?

Back

As x approaches infinity, the value of the function approaches 7.

Front

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

Back

Rational Function

Front

What is the vertical asymptote of a rational function?

Back

A vertical line where the function approaches infinity or negative infinity.

Front

If a rational function has a vertical asymptote at x = -5, what does this indicate?

Back

The function is undefined at x = -5.

Front

What is the significance of the degree of the numerator and denominator in rational functions?

Back

It determines the behavior of the function as x approaches infinity.