SOLUTION: f(x)=-2|-3x-6|+4 graph and find domain and range. This is the question on my quiz today. Im not sure that it was +4 but i think it was. can you please show table of values

Question 914236: f(x)=-2|-3x-6|+4
graph and find domain and range.
This is the question on my quiz today. Im not sure that it was +4 but i think it was.
can you please show table of values and the process, I was really lost.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
A table of values is just a way to begin learning how to pick points of functions and make a graph. You can pick values yourself for x and evaluate the corresponding f(x) for each.

More useful is to analyze the function and graph it from knowledge about the function.

There is a critical x value,

at which a corner occurs.

When -3x-6>=0,

Corresponding to .

When -3x-6<0,

Corresponding to .

Each of those is a linear equation, but a corner occurs at x=-2.

If you really want to make a data table for x and y, start with x at -4, pick increasing integer values up until about +4....

____x____________y=f(x)=-2*abs(-3x-6)+4
___-4__________________-2abs(-3(-4)-6)+4
___-3__________________
___-2__________________fillin the rest...
___0
____1
____2
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