How do you graph #y=xabs(2x+5)#?
Let's think of it this way:
For our first case, we are just bringing out
For the second case, we are finding the opposite of whatever was inside the absolute value sign.
So we can say that:
Let's apply this to our function.
We first garph these two parabolas:
Now, we ask ourselves,"For what values of
Similarly, "For what values of
To find out the answer, we solve each inequality.
This is actually telling us that for any
So we now have:
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