What is the range of the function?

Question

asked Oct 19, 2020 83.2k views

2 Answers

Vladimir Starkov · Answer 1 · 2020-10-20T07:53:22+0000

Answer:

All real numbers greater than or equal to 0.

Explanation:

Since the number under the square root can't be negative, x is greater than or equal to zero.

Socorro · Answer 2 · 2020-10-22T16:23:47+0000

The range of the function is:

Domain of a function--

The domain of a function is the set of all the possible values of x for which the function is defined.

Range of a function--

The range of the function is the set of values which are attained by a function in it's domain.

We are given a function f(x) as:

f(x)=(1)/(2)√(x)

We know that the domain of the function is:

$x\geq 0$

Hence, if
$x\geq 0$

then,

$√(x)\geq 0$

i.e.

$(1)/(2)√(x)\geq 0$

Hence, the range of the function is:

f(x)≥0

i.e. all the real numbers greater than or equal to zero.