$$y=x^2$$ $$\text{Domain: }\{x|x\in\mathbb{R}\}$$ $$\text{Range: }\{y|y\geq 0\}$$

$$y=x^3$$ $$\text{Domain: }\{x|x\in\mathbb{R}\}$$ $$\text{Range: }\{y|y\in\mathbb{R}\}$$

$$y=\sqrt{x}$$ $$\text{Domain: }\{x|x\geq 0\}$$ $$\text{Range: }\{y|y\geq 0\}$$

$$y=\sqrt{1-x^2}$$ $$\text{Domain: }\{x|-1\leq x\leq 1\}$$ $$\text{Range: }\{y|0\leq y\leq 1\}$$

$$y=\ln{x}$$ $$\text{Domain: }\{x|x>0\}$$ $$\text{Range: }\{y|y\in\mathbb{R}\}$$

$$y=e^x$$ $$\text{Domain: }\{x|x\in\mathbb{R}\}$$ $$\text{Range: }\{y|y>0\}$$

$$y=|x|$$ $$\text{Domain: }\{x|x\in\mathbb{R}\}$$ $$\text{Range: }\{y|y\geq 0\}$$

$$y=\frac{1}{x}$$ $$\text{Domain: }\{x|x\ne0\}$$ $$\text{Range: }\{y|y\ne0\}$$

$$y=\sin{x}$$ $$\text{Domain: }\{x|x\in\mathbb{R}\}$$ $$\text{Range: }\{y|-1\leq y\leq 1\}$$

$$y=\sin^{-1}{x}$$ $$\text{Domain: }\{x|-1\leq x\leq 1\}$$ $$\text{Range: }\{y|-\frac{\pi}{2}\leq y\leq\frac{\pi}{2}\}$$

$$y=\cos{x}$$ $$\text{Domain: }\{x|x\in\mathbb{R}\}$$ $$\text{Range: }\{y|-1\leq y\leq 1\}$$

$$y=\cos^{-1}{x}$$ $$\text{Domain: }\{x|-1\leq x\leq 1\}$$ $$\text{Range: }\{y|0\leq y\leq \pi\}$$

$$y=\tan{x}$$ $$\text{Domain: }\{x\ne(2n+1)\frac{\pi}{2}\}$$ $$\text{Range: }\{y|y\geq 0\}$$

$$y=\tan^{-1}{x}$$ $$\text{Domain: }\{x|x\in\mathbb{R}\}$$ $$\text{Range: }\{y|-\frac{\pi}{2}< y <\frac{\pi}{2}\}$$