Graph the following piecewise function on a separate piece of graph paper and upload your graph below.

ANSWER

To graph the function



follow the steps below.

1. Find y- intercept by plugging in .

is on the interval,  , so we substitute in to







Hence the y-intercept is

2. Find x-intercept by setting

This implies that

on

or

on

We now solve for on each interval,

on

or

on

But observe that

does not belong to

This means it  can never be an intercept for this piece-wise function.

Hence our x-intercept is

3. Plotting the boundaries of the interval.

For on  



.

This point coincides with the x-intercept.





So we have the point . But note that does not belong to this interval so we plot this point as a hole.

For on





So we plot





So we plot also as a hole.

Plotting all these points we can now graph the function,



See attachment for graph.

For this case we have the following functions:
 For  : 
 
 For  :
 
 What we need to know for this case is:
 Both functions are one lines
 Both functions have a positive slope
 Both functions are in a certain interval
 
 See attached image to see functions