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**Tax brackets** are another real-world example of piecewise functions. For example, consider a simple tax system in which incomes up to $10,000 are taxed at 10 , and any additional income is taxed at 20% .

## What is piecewise function in your own words?

A piecewise function is **a function where more than one formula is used to define the output over different pieces of the domain**. Evaluating a piecewise function means you need to pay close attention to the correct expression used for the given input.

## What would the groomer charge if your cute dog weighs 60 pounds?

If your dog is 15 pounds and under, the groomer charges $35. If your dog is between 15 and 40 pounds, she charges $40. If your dog is over 40 pounds or more, she charge **$40, plus an additional $2 for each pound**.

## How do you represent real-life situations using functions including piecewise functions?

The real-life situation of function and piecewise function:

**Tax brackets are an extra real-world example of piecewise functions**. For example, suppose a simple tax system in which profits up to $10,000 are taxed at 10, and any added income is taxed at 20%.

## How can you represent function in real-life situation?

**A car’s efficiency in terms of miles per gallon of gasoline** is a function. If a car typically gets 20 mpg, and if you input 10 gallons of gasoline, it will be able to travel roughly 200 miles.

## How do you write a piecewise function?

1. Place the cursor at the location you need piecewise function. 3. Type the normal part of equation &

to get piece wise function **go to Equation > Brackets > Cases and Stacks and insert column of desired size with left curly braces only**.

## How do you solve piecewise functions step by step?

Evaluating Piecewise Functions

## How do you write an equation for a piecewise function?

Writing Equations for Piecewise Functions

## How do you solve piecewise functions on a calculator?

TI Calculator Tutorial: Graphing Piecewise Functions

## How do you write a piecewise equation from a graph?

Writing Piecewise Function Definition from a Graph

## How do you graph a quadratic piecewise function?

How to Graph a Quadratic Piecewise Function

## What is an example of a real world scenario that is a function that has a domain and range?

Domain and Range

In this function, the number of gallons used can be anywhere from 0 gallons to 20 gallons, since the tank holds 20 gallons of gas. Based on this and the fact that **the car gets 32 miles per gallon, Zack can drive anywhere from 0*32 = 0 miles to 20*32 = 640 miles on one tank of gas**.

## How do you solve real life problems involving functions?

SOLVING REAL LIFE PROBLEMS INVOLVING FUNCTIONS

## How do you type a piecewise function in pages?

You can enter the equations in pages using LaTeX and MathML with **Insert -> Equation… or pressing ⌥ alt + ⌘cmd + E** .

## How do you make a piecewise on Desmos?

Graphing Piecewise Functions with Desmos

## How do you write a piecewise function from a table?

How to sketch piecewise function with Table of values

## How do you solve a piecewise function with two variables?

Piecewise Function – 2 Constants