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Question 513807: For the function f(x) = |2x - 7| + 3, find f(6).
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
Replace  everywhere it occurs and then do the indicated arithmetic.
\ =\ |2x\ -\ 7|\ +\ 3)
\ =\ |2(6)\ -\ 7|\ +\ 3)
Recall that the absolute value of "stuff" is just "stuff" if "stuff" is greater than or equal to zero. On the other hand, if "stuff" is less than zero, then the absolute value is the opposite of "stuff". So no matter what, the value of the absolute value function will be positive or zero. If it is positive, leave it positive. If it is zero, leave it zero. If it is negative, make it positive.
Another thing that might help is to think of function notation slightly differently than you may have been taught. You may have been told that ) is a function. That is not precisely correct.  is the function, whereas is the value of the function at . Then it should be easier to visualize something like ) as the value of the function at  .
Likewise, ) is the value of the function at  , or }{z^3}\right) ) is the value of the function at }{z^3})
This should help you visualize the fact that any point on the graph of can be described as \right))
John
My calculator said it, I believe it, that settles it
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