English, asked by itsik, 7 months ago

what is the range of the function f(x) = √x - 2​

Answers

Answered by Anonymous
2

Answer:

graph{sqrt(x-2 [-10, 10, -5, 5]}

Simply draw out the function.

The standard root function is:

y = a. \sqrt{(x - h)} \: \: \: \: \: \: \: + ky=a.

(x−h)

+k

where ,

x - h \geqslant 0x−h⩾0

In a square root function, the number inside the root sign CANNOT be < 0

so

x - 2 \geqslant 0x−2⩾0

x \geqslant 2x⩾2

∴ Domain ∈ [2, \infty)∈[2,∞)

As for range, there is no K value in the function we were given

∴ the range begins at 0 to infinity.

Range ∈[2, \infty)∈[2,∞)

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