What is the domain and range of $y=x^2+4$ ?

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Answer 1 · 2017-09-01T11:38:59

Domain: $x in RR or (-oo,oo)$ .
Range: $y >=4 or [4,oo)$

$y = x^2 +4$ . Domain : Any real value of $x$ i.e

$x in RR or (-oo,oo)$

Range: This is a parabola equation of which vertex form is

$y= a(x-h)^2+k or y= 1(x-0)^2+4; (h.k)$ being vertex.

Here vertex is at $(0,4) ; a >0$ . Since $a>0$ , the parabola opens

upward . The vertex $(0,4)$ is the lowest point of the parabola.

So Range is $y >=4 or [4,oo)$

graph{x^2+4 [-20, 20, -10, 10]} [Ans]

What is the domain and range of y=x^2+4y=x^2+4?