Rational Transformations

Front

What is a rational function?

Back

A rational function is a function that can be expressed as the quotient of two polynomials, where the denominator is not zero.

Tags

CCSS.HSF-IF.C.7D

Front

What is the parent function of a rational function?

Back

Front

What are asymptotes in rational functions?

Back

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

Tags

CCSS.HSF-IF.C.7D

Front

How do you find vertical asymptotes?

Back

Vertical asymptotes occur where the denominator of a rational function is equal to zero.

Tags

CCSS.HSF-IF.C.7D

Front

How do you find horizontal asymptotes?

Back

Horizontal asymptotes are found by analyzing the degrees of the numerator and denominator polynomials.

Tags

CCSS.HSF-IF.C.7D

Front

What is the significance of the horizontal asymptote?

Back

The horizontal asymptote indicates the behavior of the function as x approaches infinity or negative infinity.

Tags

CCSS.HSF-IF.C.7D

Front

What does it mean for a function to be undefined?

Back

A function is undefined at points where the denominator is zero, leading to division by zero.

Tags

CCSS.HSF-IF.C.7D

Front

What transformation occurs when a function is shifted up by 2 units?

Back

The transformation shifts the entire graph of the function vertically upwards by 2 units.

Tags

CCSS.HSF.BF.B.3

Front

What transformation occurs when a function is reflected over the x-axis?

Back

Reflecting a function over the x-axis inverts the y-values of the function.

Tags

CCSS.HSF.BF.B.3

Front

What is the effect of shifting a function left by 2 units?

Back

Shifting a function left by 2 units moves the entire graph horizontally to the left by 2 units.