Finding the Domain of f(x) = x^2 (0<=x<=2), 2 (2<x<=4), 2x-5 (4<x<=5)

cjrt0405

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Finding the Domain of f(x) = x^2 (0<=x<=2), 2 (2<x<=4), 2x-5 (4<x<=5)

Hi all,

Really struggling to get my head around this one.. had maths head on all day and think im struggling a little more than usual....

Can somebody please offer advice on the exercise below, much appreciated. Thanks Cal.



\(\displaystyle \mbox{The func}\mbox{tion }\, f(x)\, \mbox{ is defined as:}\)

. . . . .\(\displaystyle f(x)\, =\, \begin{cases}\mbox{ }\, x^2 & \mbox{for }\, 0\, \leq\, x\, \leq\, 2 \\ \mbox{ }\, 2 & \mbox{for }\, 2\, <\, x\, \leq\, 4 \\ 2x\, -\, 5 & \mbox{for }\, 4\, < x\, \leq\, 5 \end{cases}\)

\(\displaystyle \mbox{Find the dom}\mbox{ain of the func}\mbox{tion.}\)
 

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Can somebody please offer advice on the exercise below, much appreciated. Thanks Cal.



\(\displaystyle \mbox{The func}\mbox{tion }\, f(x)\, \mbox{ is defined as:}\)

. . . . .\(\displaystyle f(x)\, =\, \begin{cases}\mbox{ }\, x^2 & \mbox{for }\, 0\, \leq\, x\, \leq\, 2 \\ \mbox{ }\, 2 & \mbox{for }\, 2\, <\, x\, \leq\, 4 \\ 2x\, -\, 5 & \mbox{for }\, 4\, < x\, \leq\, 5 \end{cases}\)

\(\displaystyle \mbox{Find the dom}\mbox{ain of the func}\mbox{tion.}\)
Use what you learned back in algebra:

What is the definition (in terms of x- and/or y-values) of the "domain" of a function? (here)

From the definition of this particular function, what then must be the domain? (Copy the values from the definition.) ;)
 
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