# Domains and Ranges of Standard Functions Set 1

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Listed below are some functions we’ll encounter *frequently.* Note carefully their domains and ranges and how they have been plotted.

**1. Constant function \(f\,(x) = k\)**** **

Domain = \(\mathbb{R}\)

Range = \(\{ k\} \)

**2. ** **Identity function \(f\,(x) = x\)**** **

Domain = \(\mathbb{R}\)

Range = \(\mathbb{R}\)

**3. ** **Linear function \(f\,(x) = mx + c\)**

Domain = \(\mathbb{R}\)

Range = \(\mathbb{R}\)

**4. Square function \(f\,(x) = {x^2}\)**** **

Domain = \(\mathbb{R}\)

Range = [0, \(\infty\))

**5. ** **Cube function \(f\,(x) = {x^3}\)**

Domain = \(\mathbb{R}\)

Range = \(\mathbb{R}\)

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