Rational Functions

Front

What are asymptotes?

Back

Asymptotes are lines that a graph approaches but never touches. They can be vertical, horizontal, or oblique.

Tags

CCSS.HSF-IF.C.7D

Front

What is a horizontal asymptote?

Back

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

Tags

CCSS.HSF-IF.C.7D

Front

What is the horizontal asymptote of the function f(x) = 2x/(x+1)?

Back

y = 2

Tags

CCSS.HSF-IF.C.7D

Front

What is the horizontal asymptote of the function f(x) = 3/(x^2 + 1)?

Back

y = 0

Tags

CCSS.HSF-IF.C.7D

Front

How do you find vertical asymptotes?

Back

Vertical asymptotes occur where the function is undefined, typically where the denominator equals zero.

Tags

CCSS.HSF-IF.C.7D

Front

What is the vertical asymptote of the function f(x) = 1/(x-2)?

Back

x = 2

Tags

CCSS.HSF-IF.C.7D

Front

What is the simplified form of √4√12?

Back

4√3

Front

What is the horizontal asymptote of the function f(x) = 5x^2 + 3x / 2x^2 + 1?

Back

y = 5/2

Tags

CCSS.HSF-IF.C.7D

Front

What is the significance of horizontal asymptotes in rational functions?

Back

Horizontal asymptotes indicate the behavior of the function as x approaches infinity or negative infinity.

Tags

CCSS.HSF-IF.C.7D

Front

What is the vertical asymptote of the function f(x) = 2/(x^2 - 4)?

Back

x = 2 and x = -2

Tags

CCSS.HSF-IF.C.7D