# 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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