# How do you write #y = |6 + 2x| + 1 # as a piecewise function?

##### 1 Answer

Nov 30, 2017

#### Answer:

#### Explanation:

We could say that the absolute equation is shifted 1 units up but in the same x axis. So, We set the expression inside the bar to zero because the absolute means distance from zero but not less than zero. Hence,

Dividing both sides by

Hence, the graph will bounce off at

Which divides the graph into two intervals.

Note that we aren't including

Hence our final piecewise function is.

Note that we are excluding the vertical shift of