Question

I need specific help in reading a piecewise function and writing the domain and the range in interval and set builder notation. Thank you!

Step 1

We first begin with the definition of piecewise defined function.

A piecewise defined function is a function defined by two or more equations i.e. "pieces", each of which lies in different part of the domain.

Their "pieces" may be all linear, or a combination of functional forms (such as constant, linear, quadratic, cubic, square root, cube root, exponential, etc.)

Step 2

For example:

Step 3

For Domain and Range:

It's very important to watch your greater/less than or equal to signs, as two points on the same domain...

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