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## Homework Statement

Find the range of the function [tex]f(x) = \sqrt{4-x^{2}}[/tex]

## The Attempt at a Solution

[tex]f(x)=\sqrt{4-x^{2}}; -2\leqx\leq2[/tex]

[tex]f(2)=\sqrt{4-(2)^2}[/tex]

[tex]f(2)=\sqrt{4-4}[/tex]

[tex]f(2)=\sqrt{0}[/tex]

[tex]f(2)=0[/tex]

[tex]f(0)=\sqrt{4-(0)^2}[/tex]

[tex]f(0)=\sqrt{4}[/tex]

[tex]f(0)=2[/tex]

Range of [tex]f=[0,2][/tex]

I believe my answer is correct. What I am wondering is whether I'm showing my work properly. If I was to hand this in to a prof/TA, would they dock me marks, and where?