Question 709085
{{{f(x) = sqrt(25-x^2)}}}


{{{f(x) = sqrt(5^2-x^2)}}}


{{{f(x) = sqrt((5-x)(5+x))}}}


{{{f(x) = sqrt(5-x)sqrt(5+x)}}}


set {{{f(x) =0}}} to find roots


{{{ sqrt(5-x)sqrt(5+x)=0}}}


if {{{ sqrt(5-x)=0}}}...=>...{{{ 5-x=0}}} .=>...{{{ 5=x}}}


if {{{ sqrt(5+x)=0}}}...=>...{{{ 5+x=0}}} .=>...{{{ -5=x}}}


domain: *[tex \LARGE \ \ \ \ \ \ \ \ \ \ \{x\,|\,x\,\in\,\mathbb{R}, \\-5<= x<=5\ \}]


range: *[tex \LARGE \ \ \ \ \ \ \ \ \ \ \{y\,|\,y\,\in\,\mathbb{R}, \\0<= y<=5\ \}]