What is the domain and range of $f(x)=1-x^2$ ?

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Answer 1 · 2017-05-24T11:30:44

Domain : $x| RR$ . In interval notation: $(-oo, oo)$
Range: $f(x) <=1$ . In interval notation: $(-oo, 1]$

$f(x) = 1-x^2 or f(x) = -x^2 +1 or f(x) = -(x-0)^2+1$

This is a quadratic equation , i.e parabola openning downwards ,

with vertex at $0,1$ , Maximum point , $f(x)=1$

Domain : $x$ may be any real number i.e $x| RR$ . In interval notation $(-oo, oo)$

Range: $f(x) <=1$ . In interval notation $(-oo, 1]$ graph{-x^2+1 [-10, 10, -5, 5]} [Ans]

What is the domain and range of f(x)=1-x^2f(x)=1-x^2?