Week 13 – Pre-Calc 11

Absolute value functions!

Another type of function on the rapidly growing list of functions we are learning.

However, the unique quality of these ones is the fact they contain an absolute value. If you go all the way back to Unit 1, you will find that we briefly covered absolute values. the rundown is that an absolute value cannot be negative. If you find a negative number in between the absolute value “brackets” it automatically becomes a positive!

Though this may sound as if it wreaks havoc on your graph, it isn’t really too bad. All that happens is the function cannot go into the negative so when it reaches the x-axis, it goes back up into the “y” area creating a “V” shape. That is with linear functions at least. Quadratic functions create a “W” on the graph and also stay out of the negative area.

The biggest takeaway I how from this was how to plot these graphs. Mainly how to plot absolute value linear functions.

Because the graph does not go into the negatives and “rebounds” back into the positives, we now have two lines which travel at opposite angles of each other.

This means that if you had a function such as /| -5x-10|

You would have to plot the lines -5x-10 and -(-5x-10) which is 5x+10 which is the opposing line.

That’s all for this week. Thanks for checking in!

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