SOLUTION: for the piecewise function find the values g(0),g(2), and g(7) link to question image:http://oi48.tinypic.com/6jf5sm.jpg i really need help on this i have no idea how to do

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Question 627313: for the piecewise function find the values g(0),g(2), and g(7)
link to question image:http://oi48.tinypic.com/6jf5sm.jpg
i really need help on this i have no idea how to do this and i dont have access to a calculator yet with graphing just hoping im allowed to ask more then 5 questions when i start my test this is HW online so its unlimited i need help on
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
g(0) means find g(x) when x = 0

When x = 0, we're in the range . So we're picking on the first piece of the piecewise function. So g(x) = x+5

Therefore,

g(x) = x+5

g(0) = 0+5

g(0) = 5
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g(2) means g(x) when x = 2

When x = 2, we're in the range again, so we're sticking with the first piece still.

g(x) = x+5

g(2) = 2+5

g(2) = 7
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g(7) means g(x) when x = 7

When x = 7, we're now in the range . So we've moved onto the second piece of the piecewise function.

So g(x) = 3-x

g(x) = 3-x

g(7) = 3-7

g(7) = -4

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Summary:

g(0) = 5

g(2) = 7

g(7) = -4

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Jim
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