# How to write absolute value in a graphing calculator

We first have to get the absolute value all by itself on the left. However, because of how absolute values behave, it is important to include negative inputs in your T-chart when graphing absolute-value functions. Again, we can see the X-value of the particular pixel.

In order to better see this, Figure 15 has been augmented and reproduced as Figure Figure 6 Figure 6 confirms the insertion of the symbol. That is, they mark the left and right ends of the region where the original expression was false.

Figure 8 Figure 8 shows the completed expression. If you do not pick x-values that will put negatives inside the absolute value, you will usually mislead yourself as to what the graph looks like.

You can also put the equation in your graphing calculator to check your answers! You can use piecewise functions to define the absolute values expressions for each interval. We are ready to graph the expression.

### Absolute value equations

You remember that absolute-value graphs involve absolute values, and that absolute values affect "minus" inputs. The item we want is item number 4. Simplify with a common denominator. We need only press the to select the item, close the screen and insert the item into the expression. You can use piecewise functions to define the absolute values expressions for each interval. We start with the left parenthesis,. In the Figures above, we have worked to create a two-level graph of this problem, showing where the inequality is true and where it is false. However, if you see a graph with an elbow like this, you should expect that the graph's equation probably involves an absolute value. When x equalled —2, then the argument that is, the expression inside the bars equalled zero. For this example we will not do this. To do this we press the key. If you do not pick x-values that will put negatives inside the absolute value, you will usually mislead yourself as to what the graph looks like. The opening and closing parentheses allow us to multiply the expression by 3 and then we can subtract 1. Then we check each interval with random points to see if the factored form of the quadratic is positive or negative, making sure we include the absolute value. Also, since the "plus two" is outside of the absolute-value bars, I expect my graph to look like the regular absolute-value graph being a "V" with the elbow at the origin , but moved upward by two units.

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