Question

Describe the domain and range for

Answer 1

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain
Domain: [-4,∞),x
Range: [0,∞),y


Answer 2

Square root functions domain have to be set greater than or equal to zero, so we can set x+4 greater than or equal to zero.

`x + 4 \geqslant 0 \\ x \geqslant - 4 \\ \\`
[-4, + infinity)