How to Do Absolute Value on TI-84

When you’re working with the TI-84 calculator, calculating absolute values might seem tricky at first. However, once you understand the built-in functions, it becomes much easier to work with these values. In this guide, we’ll walk you through two main methods to calculate absolute values and graph absolute value functions on the TI-84. Let’s dive into it!

Methods to Put Absolute Value on the TI-84

1. Get Absolute Value Using the abs( Function

The simplest and most direct way to calculate the absolute value on the TI-84 is by using the abs( function. This function will return the absolute value of a number, no matter whether it’s positive or negative. Here’s how to use it:

1. Turn on your TI-84 by pressing the ON button.
   
2. Press the Math button, which is located just below the ALPHA button.
   
3. Scroll down to NUM (you’ll see a list of numeric options).
   
4. Select abs(, which is the absolute value function.
   
5. Now, enter the number or expression you want the absolute value of inside the parentheses.
   
6. Press Enter, and the calculator will output the absolute value.
   

Example: If you want to find the absolute value of -5, simply input abs(-5) and press Enter. The calculator will display 5.

2. Graph Absolute Value Functions on TI-84

Another powerful feature of the TI-84 is its ability to graph absolute value functions. Graphing absolute values can be useful for visualizing how the absolute value affects the graph of a function.

Here’s how you can graph an absolute value function:

1. Press the Y= button to access the function editor.
   
2. For the absolute value of a function, use the abs( function, just like in the first method.
   
   • For example, if you want to graph the function y = abs(x – 3), input abs(x – 3) into the function editor.
     
3. After inputting the function, press the Graph button to display the graph.
   
4. You should now see the characteristic “V” shape of the absolute value function on your screen.
   

This graph will show you how the absolute value affects the behavior of functions, with all negative values of the function being reflected above the x-axis.

What is Absolute Value?

In mathematics, the absolute value of a number refers to its distance from zero on the number line, regardless of direction. It is always a non-negative value. In simple terms, the absolute value of a number is its magnitude without considering whether it’s positive or negative.

For example:

• The absolute value of 7 is 7.
  
• The absolute value of -7 is also 7.
  

The absolute value function essentially removes any negative sign, turning all values into their positive counterparts.

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