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