SOLUTION: find the domain and range of f(x)=square root of x-3

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Question 966617: find the domain and range of f(x)=square root of x-3
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Domain and Range for f%28x%29=sqrt%28x-3%29.
x-3%3E=0 is a requirement. What does that tell you?

The function is based on y=sqrt%28x%29 but f(x) is shifted three units to the right. Think about the shape of the graph, and you should identify the lowest point and how far upward extends the values for f(x).

This is the graph:
graph%28300%2C300%2C0%2C20%2C-1%2C19%2Csqrt%28x-3%29%29