What is an Absolute Value Function?

An absolute value function is a type of mathematical equation used to express the distance between two points on a coordinate plane. In more general terms, it is a way of describing the magnitude of a number regardless of its sign. For example, the absolute value of -5 is 5 and the absolute value of 5 is also 5.

How to Graph an Absolute Value Function

Graphing an absolute value function is fairly simple. First, you need to decide what the equation will look like. The most common form of an absolute value function is y = |x|, where x is the input and y is the output. This equation is graphed by plotting two lines, one for positive values of x and one for negative values of x.

To graph this equation, start by plotting a point at the origin (0,0). Then, draw a line from the origin to the point (1,1). This line represents values of x from 0 to 1. For each point on this line, the output is equal to the input. After plotting this line, draw another line from the origin to the point (-1,1). This line represents values of x from -1 to 0. Again, for each point on this line, the output is equal to the input.

Once both lines are plotted, the graph of the absolute value function is complete. It should look similar to a V-shape, with the origin as the vertex. To find the output for any given input, simply find the corresponding point on the graph and read off the y-value.

2.1 Graphing Absolute Value Functions Worksheet Answers

The 2.1 Graphing Absolute Value Functions Worksheet is a great way to practice graphing absolute value functions. The worksheet includes several functions, and each one requires you to graph it and determine the answers. Some of the worksheet questions may ask you to find the equation of the line or determine the x and y intercepts. Other questions may ask you to graph the inverse of the function.

If you are stuck on any of the worksheet questions, there are several online resources that can provide you with the correct answer. These resources include websites such as Cheat Sheet, Math Planet, and Math is Fun. You can also find answer key worksheets available online that provide the step-by-step solutions to each of the questions. With these resources, you should be able to find the answers to the 2.1 Graphing Absolute Value Functions Worksheet.