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Unformatted text preview: There is one function that we’ve seen to this point that we didn’t really see anything like when we
were graphing equations in the first part of this chapter. That is piecewise functions. So, we
should graph a couple of these to make sure that we can graph them as well. Example 2 Sketch the graph of the following piecewise function.
ì- x 2 + 4 if x < 1
g ( x) = í
if x ³ 1
î2 x - 1
Okay, now when we are graphing piecewise functions we are really graphing several functions at
once, except we are only going to graph them on very specific intervals. In this case we will be
graphing the following two functions, - x2 + 4
2x -1 on
on x <1
x ³1 We’ll need to be a little careful with what is going on right at x = 1 since technically that will
only be valid for the bottom function. However, we’ll deal with that at the very end when we
actually do the graph. For now, we will use x = 1 in both functions.
The first thing to do here is to get a table of values for each function on the specified range and
again we will use x = 1 in both even though technically it only sho...
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- Spring '12