Attributes of Parent Functions

Front

What is a parent function?

Back

A parent function is the simplest form of a function in a family of functions, which retains the essential characteristics of that family.

Front

What is the parent function of a quadratic function?

Back

The parent function of a quadratic function is y = x².

Front

What is the parent function of a linear function?

Back

The parent function of a linear function is f(x) = x.

Front

What is the domain of the quadratic parent function?

Back

The domain of the quadratic parent function y = x² is (-∞, ∞).

Front

What is the range of the quadratic parent function?

Back

The range of the quadratic parent function y = x² is [0, ∞).

Tags

CCSS.HSF-IF.C.7A

Front

Which parent functions have a horizontal asymptote at y = 0?

Back

The rational and exponential parent functions have a horizontal asymptote at y = 0.

Tags

CCSS.HSF-IF.C.7D

Front

What is the parent function of a cubic function?

Back

The parent function of a cubic function is f(x) = x³.

Front

What is the range of the cubic parent function?

Back

The range of the cubic parent function f(x) = x³ is (-∞, ∞).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What is the parent function of a rational function?

Back

The parent function of a rational function is f(x) = 1/x.

Front

What is the domain of the rational parent function?

Back

The domain of the rational parent function f(x) = 1/x is (-∞, 0) ∪ (0, ∞).