Unit 4A Review

Front

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

Back

It cancels out.

Tags

CCSS.HSF-IF.C.7D

Front

What is the definition of a Vertical Asymptote?

Back

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

Tags

CCSS.HSF-IF.C.7D

Front

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

Back

Compare the degrees of the numerator and denominator.

Tags

CCSS.HSF-IF.C.7D

Front

Back

Tags

CCSS.HSA.APR.D.6

Front

Back

Tags

CCSS.HSA.APR.D.6

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.

Tags

CCSS.HSF-IF.C.7D

Front

What happens to the function at a hole?

Back

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

Tags

CCSS.HSF-IF.C.7D

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.

Tags

CCSS.HSF-IF.C.7D

Front

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

Back

Set the numerator equal to zero and solve for x.

Tags

CCSS.HSF-IF.C.7D

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.

Tags

CCSS.HSF-IF.C.7D