Question

what is range of the function f(x) =√x^2-4
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Answer 1

Answer:

ANSWER

f(x)=

4x−x

2

=a

Domains:-4x−x

2

≤0

x(4−x)≤

xϵ[0,4]

⇒x

2

−4x+a

2

=0[a>0]

x=

2

4±

16−4a

2

=1±

1−a

2

⇒4−a

2

≤0

⇒aϵ[0,2]=Range