![]() Now again from the graph of this piecewise funtion, we see the graph is situated from left to right all over x-axis, so the domain=(-∞, ∞) and the graph is situated from origin to upper side all over the positive y-axis, so the range=[0,∞)ĭomain and Range of a piecewise function can be guess from its graph. Now together with the union of this three range intervals, we get the range=(0, ∞)∪∪(0, 1)=[0, ∞) So the domain=(-∞, 0)∪∪(1, ∞)=(-∞, ∞)Ĭalculating the range of this piecewise function:įor the First sub-function f(x)=x 2 where x1, we can get the range interval 1/f(∞) < f(x) < 1/f(1) ⇒ 1/∞ < f(x) < 1/1 ⇒ 0 < f(x) < 1 Graphing piecewise functions calculator can run any device and any website browser.Īs for example, consider a piecewise function for calculating domain and range.įor calculating the domain of piecewise function, together with the union of those three intervals from the three sub-functions conditions. We can see the graph is situated in the interval, so Domf=. Again we check graph is situated what interval along y-axis for Range. 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- Piecewise Functions Calculator Algebra Pre Calculus Calculus Functions Linear Algebra Trigonometry Statistics Physics Chemistry Finance Economics Conversions Full pad Examples Related Symbolab blog posts Functions A function basically relates an input to an output, there’s an input, a relationship and an output. 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. 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.
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