Graph the following piecewise function on a separate piece of graph paper and upload your graph below.
2 answers:
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
Answer: See attached image to see functions
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