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Question 677991: What is the domain and range for y=((x^3-4^3)/(x-4))?
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! What is the domain and range for y=((x^3-4^3)/(x-4))?
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Factored form:
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y = [(x-4)(x^2+4x+16)]/(x-4)
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There is a hole at x = 4.
So, domain is "All Real Numbers except x = 4".
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Minimum occurs where x = -b/2a = -4/(2) = -2
f(-2) = (-2)^2+4(-2)+16) = 4-8+16 = 8
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Range is All Real Numbers greater than or equal to 8.
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Cheers,
Stan H.
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