Question

2) y = x + 3 + 3 A) Domain: x 2-3 Range: y = 3 B) Domain: x 2-3 Range: y s3 C) Domain: x 2 3 Range: y 2-3 D) Domain: x 2-3 Range: y 2-3

Answer 1

Domain : Domain of a function is the set of input values for which the function is real and defined.

Given function is :

$y=\sqrt[]{x+3}+3$

Since if x less than - 3 then the square root will be into the form of complex number i,

So x ≥ -3

So Domain will be : x ≥ -3

Interval notation : [ -3, infinity)

Range : Range is the set of all the output values of the function :

The range of the funtion is:

$f(x)\ge3$

Intervale notation : [3, infinity)

Domain = x ≥ -3, [-3, inifinity)

Range : f(x)≥3, Interval notation [ 3, infinity)

Answer : A)

Domain x ≥- 3

Range y ≥ 3