SOLUTION: What are the domain and range of the function below? D(x) = { x^2-2x-3 if x<4 3x-7 if x&#8805;4 A.Domain[-4,&#8734;) Range All real numbers B.Domain (-&#8734

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Question 1119733: What are the domain and range of the function below?
D(x) = { x^2-2x-3 if x<4
3x-7 if x≥4
A.Domain[-4,∞)
Range All real numbers
B.Domain (-∞,4)
Range (4,∞)
C.Domain All real numbers
Range [-4,∞)
D.Domain All real numbers
Range All real numbers

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
The domain is all real numbers, since x can be anything.
The range for 3x-7 with x>=4 is [5, oo)
For the quadratic, the vertex is the minimum and has x value of -b/2a=2/2 or 1
f(1)=-4
The range is from [-4, oo)
C

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