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#1 2016-02-20 16:00:07

Nautilus
Guest

Piecewise functions help?

There is an absolute value piece to this function with these two points on the graph:
(5, 2) and (2.5, -3.25).  The vertex falls between these points at a height of 12.
The domain used for this function is?
I do not have the slightest clue where to start.

#2 2016-02-20 20:51:41

Grantingriver
Member
Registered: 2016-02-01
Posts: 129

Re: Piecewise functions help?

You can define a piecewise fuction to be consisted of as many pieces as you would like, and the number of pieces alog with their shapes will determine the domain and the range of the function. The question which you provide don't explicitly contain those information, but according to the description of the piecewise fuction in the question, it is obvious (if there aren't missing information) that the function consists of two pieces one of them is an absolute value piece with the independent variable "x" extending from -∞ to 2.5 and the other piece is a graph with vertex at height 12 from the x-axis in the first quarter covering the interval from 2.5 to 5. If this description is the correct one, then the domaim and the range are (-∞,5] and [-3.25,∞) respectevily. Otherwise, the question should include more information.

Q.E.F

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