To put these on the graph I downloaded the image and then added the circles in an image editing program like Paint.Think you’re fond of of graphing and computing stuffs? Great! Because you might remember this thing called the Texas Instrument TI-83 from the old days. This not only shows the discontinuity, but also indicates that the function is undefined at x = -4. An even better version of this graph would be to include open circles at x = -4. In this case, Desmos gives a more accurate graph since it shows the discontinuity at x = -4. Desmos would give the opposite conclusion. The WolframAlpha graph would lead you to think the function is continuous. But if you were determining whether the function was continuous at x = -4, the two graphs would lead to different conclusions. This is because x = -4 causes the denominator to be zero. This looks similar to the WolframAlpha version, except that the tow horizontal pieces are not connected. Let’s try graphing this function in Desmos.Īs shown in the video above, the graph of this function looks like this in Desmos. This is problematic since this is not a function…it does not pass the vertical line test at x = -4. These sections are connected by a vertical line at x = -4. The graph consists of a horizontal section at y = -1 and another at y = 1. Press return to give the following result. Putting this in front of (x+4) means the absolute value of the quantity x + 4. The absolute value function in WolframAlpha is “abs”. To graph this function in WolframAlpha, go to the website and type this in the box on the screen.īoth the numerator and denominator need to be in parentheses. These two online graphing tools are both free to use and can produce excellent graphs. Depending on the technology you use, the graph you get may not actually represent the function well. Graphing an absolute value function can be a bit deceiving.
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