SOLUTION: f(x)=2squareroot(x-1)+3 graph and state the domain and range

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Question 407306: f(x)=2squareroot(x-1)+3 graph and state the domain and range
Answer by lwsshak3(11628) About Me  (Show Source):
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f(x)=2squareroot(x-1)+3 graph and state the domain and range
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One restriction here is inside the sqrt which must be >=0
x-1>=0
x>=1
Domain:[1,infinity)
Range:[3,infinity)
The given function has shifted the basic sqrt curve 1 unit left and 3 unit up. The 2 in front has made the curve a bit steeper (increase in slope)
See the graph of f(x) below:
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y=2(x-1)^.5+3
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2%28x-1%29%5E.5%2B3%29+