Visualizing Domain and Range

Domain and range graph

The blue graph is the trigonometric function $f(x)=sin (x)$ with a domain of $\mathbb{R}$ and a restricted range of $-1 \leq y \leq 1$ (output values only exist between $-1$ to $1$. The red graph is the function $f(x)=-\sqrt{x}$ with a restricted domain of $x \geq 0$, and also a restricted range of $y\leq0$.

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"Original figure by Julien Coyne. Licensed CC BY-SA 4.0."

Julien Coyne CC BY-SA 3.0.

Visualizing Domain and Range

Domain and range graph

Source

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