Question

the range of f(x)= sqrt x-2

Answer 1

Answer:

∴ Range ∈[0,∞)

Step by step Solution:

f(x)= √(x-2)

Simply draw out the function.

The standard root function is:

y=a⋅√(x−h)+k

where x−h≥0

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

∴ x−2≥0

∴ x≥2

∴ Domain ∈[2,∞)

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

∴ the range begins at 0 to infinity.

∴ Range ∈[0,∞)