I need help with piecewise functions. How do I find the domain and range, and how do I write them in notation?

Here is an example. / y=3x+2, x<2 | y=4x+7, 2 ≤ x ≤ 6 \ y=x-5 , x>6
you want find the value of y when x=4.5 Firstly find which domain/section this x belongs to, clearly it belongs to the second domain. then replace the x in the second equation with 4.5, find y's value. One thing you should know about piecewise functions is that for each x there will be only one corresponding y, vice versa.

Answered by Lin | 2024-06-10

To find the domain and range of a piecewise function, examine the x values and the corresponding function values carefully for each piece. The domain is the set of x values that the function can take, while the range is the set of y values the function can output. Use **inequality **and interval notations to express the domain and range respectively. ;

Answered by NicolasCage | 2024-06-18

To find the domain and range of a piecewise function, identify the conditions for each piece, combine the valid x-values for the domain, and calculate the corresponding y-values for the range. Use interval notation to express both the domain and range clearly. Each x-value relates to one unique y-value in the function.
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Answered by Lin | 2024-12-23