Question 287929: Graph the piecewise continuous function
f (x)= {x,-2
x^2+1,x_>1
the underline is actually the greater than or equal symbol with my keyboard i am unable to type in that syymbol. I am 100 percent stuck and confused on how to solve this problem I also have to graph it any help would be appreciated if there is confusion on how i typed it let me know I tried to copy and paste but wouldnt let me for some reason.
Eric
Answer by Edwin McCravy(20055)   (Show Source):
You can put this solution on YOUR website! 
First we draw the graph of 
But there is a restriction of  , therefore
we must chop it off except where it is directly above
or below the part where x is beteen -2 and 1, like this:
Next we notice that the restriction is ,
so we place open circles at the ends since the graph
has no point directly below the part of the x-axis where
 is on the x-axis or directly above the x-axis
where  is on the x-axis. The graph does not
include the point (-2,-2) or the point (1,1). The open
circles indicate that the graph does not include that point.
Next we draw the graph of 
But there is a restriction of  , therefore
we must chop it off except where it is directly above
the part of the x-axis where x is greater than 1, like this:
Next we notice that the restriction is ,
so we place a closed circle at the end since the graph
has a point directly above where is on the
x-axis, since the graph includes point (1,2).
That's the graph of
Edwin
|
|
|
