Find the Domain and Range f(x)=x^2-3 , x>=0

$f (x) = x^{2} - 3$ , $x \geq 0$

Step 1

Since the domain of $x^{2} - 3$ is all real numbers, the domain of this piece of the function is its restriction, $x \geq 0$ .

$[0, \infty)$

Step 2

The range is the set of all valid $y$ values. Use the graph to find the range.

$[- 3, \infty)$

Step 3

List the domain and range of the piecewise.

Domain: $[0, \infty)$

Range: $[- 3, \infty)$

Step 4