Parent Functions Overview

These flashcards cover key parent functions including their equations, domains, and ranges.

Greatest Integer Function (Step Function)

The function described by the equation y = [x], with domain R and range integers.

Constant Function

A function with the equation y = c, where the domain is R and the range is the set {c}.

Polynomial Function (Even)

Defined by the equation y = x^n for even n > 0, with domain R and range [0, ∞).

Linear Function

A function given by the equation y = x, having domain R and range R.

Polynomial Function (Odd)

Defined by the equation y = x^n for odd n > 1, with domain R and range R.

Square Root Function

The function defined by y = √x, with domain [0, ∞) and range [0, ∞).

Rational Function (Inverse)

Described by the equation y = 1/x, with domain (0, 0) ∪ (0, ∞) and range (-∞, 0) ∪ (0, ∞).

Exponential Function

A function characterized by the equation y = e^x, with domain R and range (0, ∞).

Absolute Value Function

The function defined by y = |x|, having domain R and range [0, ∞).

Logarithmic Function

Described by the equation y = ln(x), with domain (0, ∞) and range R.

Ration (Inverse) squared

function represented by y = 1/x², defined for all x except x = 0, producing a range of (0, ∞).