Question

Write the function in piecewise notation.

Answer 1

\[\left| 6 - 2x \right|\]

Answer 2

So the way I like to look at this type of problem is to determine where the absolute value makes a difference

Answer 3

ok

Answer 4

In other words, when is the absolute value going to make a positive number positive (no effect) and where it makes the negative numbers negative (same point)

Answer 5

So, when does the inside of the absolute value switch between positive and negative?

Answer 6

(6 - 2x)
-( 6- 2x)

Answer 7

Maybe I'm phrasing this poorly. If we were to look at say
|x|

the absolute value would start to change the function when x goes from negative to positive, at x=0 right?

Answer 8

Yes you are right, for example if we have absolute value of -2 it would be 2

Answer 9

negative to postive and positive to positive

Answer 10

So for like, the simple example of just |x| the "switch" happens at x=0.

Can you find where that "switch" happens for your function?

Answer 11

yes switch happens

Answer 12

I think you have the concept, you just did some arithmetic wrong

Answer 13

6-2x is going to look like that

Answer 14

yes

Answer 15

6-2(x) = 0

when x =3

(not 2)

Answer 16

and the absolute value function would be