Question

find the domain and range of following functions. y=x^2+4​

Answer 1

Answer:

Domain: x∈Ror(−∞,∞).

Range: y≥4or[4,∞)

Step-by-step explanation:

y=x2+4 . Domain : Any real value of x i.e

x∈Ror(−∞,∞)

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

y=a(x−h)2+kory=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≥4or[4,∞)

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