Unit 4A Review

Front

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

Back

It cancels out.

Front

What is the definition of a Vertical Asymptote?

Back

A vertical line x = a where the function approaches infinity as it approaches a.

Front

How do you determine the Horizontal Asymptote of a rational function?

Back

Compare the degrees of the numerator and denominator.

Front

Back

Front

Back

Front

What is the formula for finding the Horizontal Asymptote when the degrees of the numerator and denominator are equal?

Back

y = \frac{a}{b} where a and b are the leading coefficients.

Front

What happens to the function at a hole?

Back

The function is undefined at that point, but it can be simplified.

Front

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

Back

They determine the behavior of the function as x approaches infinity.

Front

How do you find the x-intercepts of a rational function?

Back

Set the numerator equal to zero and solve for x.

Front

What is the relationship between vertical asymptotes and the factors of the denominator?

Back

Vertical asymptotes occur at values of x that make the denominator zero but not the numerator.