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Piecewise function equation maker5/1/2023 We can see the graph is situated in the interval, so Domf=. At first we check the graph is situated what interval along x-axis for Domain. We can find out the Domain and Range of the function from the graph. The graph of the given function is given bellows. If x=4,then it is situated in the 3rd interval and this interval corresponding to the function -x 2, so f(4)=-4 2=-2. If x=0,then it is situated in the 2nd interval and this interval corresponding to the constant function 2, so f(0)=2. If x=-1,then it is situated in the 1st interval and this interval corresponding to the function 3x 5, so f(-1)=3(-1) 5=-3 5=2. If x=-2,then it is situated in the 1st interval and this interval corresponding to the function 3x 5, so f(-2)=3(-2) 5=-6 5=-1. Note that there is an example of a piecewise function’s inverse here in the Inverses of Functions section.As for example, a piecewise function is given bellows-įor finding the value of f(-2), f(-1), f(0) and f(4), we will check the values of x is situated in which intervals. Thus, the \(y\)’s are defined differently, depending on the intervals where the \(x\)’s are. The easiest way to think of them is if you drew more than one function on a graph, and you just erased parts of the functions where they aren’t supposed to be (along the \(x\)’s). Piecewise functions (or piece-wise functions) are just what they are named: pieces of different functions (sub-functions) all on one graph. Obtaining Equations from Piecewise Function Graphs How to Tell if a Piecewise Function is Continuous or Non-Continuous
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