Domain & Range of Square Roots

domain, but flip # to get answer

range, but flip # to get answer

domain, but don't flip #

range, but don't flip #

domain, but flip # to get answer

range, but flip # to get answer

domain, but don't flip #

range, but don't flip #

nothing

x flips which means domain is less than or equal to

y flips which means range is less than or equal to

both x and y flip

(- ∞, -2 ]

[ -2, ∞ )

All Real Numbers

[ 0, ∞)

all real numbers

$$x\ge0$$

$$x\le0$$

$$y\ge0$$

all real numbers

$$y\ge1$$

$$y\le2$$

$$y\ge2$$

The domain of the red curve is the same as the range of the blue curve, all real numbers less than or equal to 0, and the range of the red curve is the same as the restricted domain of the blue curve, all real numbers less than or equal to 0.

The domain of the red curve is the same as the restricted domain of the blue curve, all real numbers less than or equal to 0, and the range of the red curve is the same as the range of the blue curve, all real numbers less than 0.

The domain of the red curve is the same as the range of the red curve, all real numbers greater than or equal to 0, and the range of the red curve is the same as the restricted range of the blue curve, all real numbers greater than or equal to 0.

The domain of the red curve is the same as the restricted domain of the blue curve, all real numbers greater than or equal to 0, and the range of the red curve is the same as the range of the blue curve, all real numbers greater than or equal to 0.

The inverse function of f is $$f^{-1}\left(x\right)=\left(x+3\right)^2$$

The inverse function of f is $$f^{-1}\left(x\right)=x^2-3$$

The inverse function of f is $$f^{-1}\left(x\right)=x^2+3$$

The domain of $$f^{-1}$$ is $$\left[0,\infty\right)$$

The domain of $$f^{-1}$$ is $$\left(\infty,\infty\right)$$

parenthesis

brackets

curly brackets

quotations