Parent Graphs +Rational Expressions

Front

What is a parent graph?

Back

A parent graph is the simplest form of a function that serves as a foundation for more complex graphs. It represents the basic shape of a family of functions.

Front

What is a rational expression?

Back

A rational expression is a fraction where the numerator and the denominator are both polynomials.

Front

What is the general form of a rational function?

Back

Tags

CCSS.HSF-IF.C.7D

Front

What does the vertical asymptote of a rational function represent?

Back

The vertical asymptote represents the value of x that makes the denominator zero, indicating where the function approaches infinity.

Tags

CCSS.HSF-IF.C.7D

Front

What does the horizontal asymptote of a rational function indicate?

Back

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

Tags

CCSS.HSF-IF.C.7D

Front

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

Back

To find the x-intercepts, set the numerator equal to zero and solve for x.

Tags

CCSS.HSF-IF.C.7D

Front

How do you find the y-intercept of a rational function?

Back

Tags

CCSS.HSF-IF.C.7D

Front

What is the significance of holes in the graph of a rational function?

Back

Holes occur at values of x that make both the numerator and denominator zero, indicating a point where the function is undefined.

Tags

CCSS.HSF-IF.C.7D

Front

What is the effect of a vertical shift on the graph of a function?

Back

Front

What is the effect of a horizontal shift on the graph of a function?

Back