How do you find the domain and range of F (X) = sqrt(x-3) ?

1 Answer
Daniel L.
Jun 24, 2015

Domain is : <3;+oo)
Range: <0;+oo)

Explanation:

To find the domain you have to chech for which number all the operations in function formula are defined. In this case the limit is that: x-3>=0 because you cannot calculate the square root of a negative number (it exists but is not a real number).

To calculate the range you have to think if there are values that the function does not take. In this case there is a square root which means, that the values willl never be negative, but all positive values are possible.

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