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September 15th, 2009, 04:01 PM   #1
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Domain and Range

hey guys I need help with this problem

f(x) = 3 - |x+5| and the equation is under a square root. (the whole equation from 3 to |x+5|)

a) What is the domain of f ?
b) What is the range of f if the domain of f is (-7, -3)?
c) If the domain of f is {-7, -3}. Give an example of a function g whose domain is
also {-7, -3} and equals the function f.
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September 15th, 2009, 07:15 PM   #2
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a) 3 - |x + 5| ? 0 ? |x + 5| ? 3 ? -3 ? x + 5 ? 3 ? -3 - 5 ? (x + 5) - 5 ? 3 - 5 ? ? Domain: [-8, -2].

b) At domain (-7, -3), the maximum value of f(x) is at when x = -5, so f(-5) = ?(3). If there was a domain of [-7, -3] for f(x), then the minimum value of f(x) at this domain is at when x = -7 or -3, so f(-7) = f(-3) = 1. But, the given domain in the problem is (-7, -3). ? Range: (1, ?(3)].
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September 15th, 2009, 08:32 PM   #3
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Re: Domain and Range

Thank you so much!!!!
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