Find Domain And Range Of Piecewise Functions

Need to calculate the domain and range of a graphed piecewise function.

Find domain and range of piecewise functions.

Dom f 6. An understanding of toolkit functions can be used to find the domain and range of related functions. Piecewise functions are special functions that have different parts with unique rules for each part. And so let s think about its domain and then we ll think about its range.

From ramanujan to calculus co creator gottfried leibniz many of the world s best and brightest mathematical minds have belonged to autodidacts. A piecewise function can be graphed using each algebraic formula on its assigned subdomain. 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. A piecewise function is described by more than one formula.

The domain of any function is all the values that x can be for that function. For many functions the domain and range can be determined from a graph. Find the domain and range of a piecewise function given its formula. So the domain of this this is a review.

So we have a piecewise linear function right over here for different intervals of x. A doctor s fee is based on the length of time. 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. G of x is defined by a a line or the line changes depending what interval of x we re actually in.