In summary, the given problem is asking to evaluate a piecewise function using different numbers, including g(5). The poster is unsure about the correct method and asks for clarification, but later realizes the solution is simply following the given instructions and the answer is 11."

## Homework Statement

To make it clearer, I uploaded the problem to this attachment.

https://www.physicsforums.com/attachment.php?attachmentid=36660&stc=1&d=1308787359

The directions to this question tis to evalutate using several different numbers. One of the numbers given is g(5).

In this case, I do not understand what I have to do and this is summer homework so I cannot ask the teacher that gave this assignment.

## The Attempt at a Solution

Is it just asking me to plug in the numbers so I would have 11, x>=3 and then -47, x< 3?

It seems too simple and really doesn't seem like the correct answer. I think I'm confused as to how I am supposed to evaluate this piecewise function. Any ideas here?

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## 1. What are piecewise functions?

A piecewise function is a mathematical function that is defined by different equations or rules for different intervals or segments of the function's domain. This means that the function's definition changes depending on which part of the domain the input falls into.

## 2. How do I evaluate a piecewise function?

To evaluate a piecewise function, you need to determine which interval or segment of the function's domain the input falls into. Then, use the corresponding equation or rule to calculate the output.

## 3. Can a piecewise function have more than two pieces?

Yes, a piecewise function can have any number of pieces. It can have two, three, four, or even more equations or rules that define different parts of the function's domain.

## 4. What is the purpose of using piecewise functions?

Piecewise functions are useful for modeling real-world situations where different rules or equations apply in different scenarios. They allow for more flexibility and accuracy in representing complex relationships between variables.

## 5. What are some common examples of piecewise functions?

Some common examples of piecewise functions include the absolute value function, the greatest integer function, and the floor and ceiling functions. These functions have different rules or equations for different intervals of the input.

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