Ch 8 Alg2 Test on Rational Functions

Front

What is a horizontal asymptote (H.A.)?

Back

A horizontal asymptote is a horizontal line that the graph of a function approaches as x approaches positive or negative infinity.

Front

When finding the H.A., if the denominator degree is greater than the numerator degree, what is the H.A.?

Back

y = 0

Front

What is a hole in a rational function?

Back

A hole occurs in a rational function at a value of x where both the numerator and denominator are zero, indicating that the function is undefined at that point.

Front

How do you find the hole in a rational function?

Back

Factor the numerator and denominator, then identify the common factors that cancel out.

Front

What are x-intercepts in a function?

Back

X-intercepts are points where the graph of the function crosses the x-axis, meaning f(x) = 0.

Front

How do you find the x-intercept(s) of a rational function?

Back

Set the numerator equal to zero and solve for x.

Front

What is a vertical asymptote (V.A.)?

Back

A vertical asymptote is a vertical line that the graph of a function approaches as x approaches a certain value, where the function is undefined.

Front

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

Back

Set the denominator equal to zero and solve for x.

Front

What indicates that a factor in the denominator is a hole instead of a vertical asymptote?

Back

It cancels out with a factor in the numerator.

Front

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

Back

The degrees determine the behavior of the function as x approaches infinity and help identify horizontal asymptotes.