Find Domain And Range Of Piecewise Functions

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Find domain and range of piecewise functions.

Find the domain and range of a piecewise function given its formula. Piecewise functions let us make functions that do anything we want. A doctor s fee is based on the length of time. Piecewise functions are special functions that have different parts with unique rules for each part.

So we have a piecewise linear function right over here for different intervals of x. Learn how with this free video lesson. And thanks to the internet it s easier than ever to follow in their footsteps or just finish your homework or study for that next big test. For many functions the domain and range can be determined from a graph.

The domain all the values that can go into the function is all real numbers up to and including 6 which we can write like this. From ramanujan to calculus co creator gottfried leibniz many of the world s best and brightest mathematical minds have belonged to autodidacts. The domain of any function is all the values that x can be for that function. A piecewise function can be graphed using each algebraic formula on its assigned subdomain.

And so let s think about its domain and then we ll think about its range. Dom f 6. A piecewise function is described by more than one formula. G of x is defined by a a line or the line changes depending what interval of x we re actually in.