MATH 105 Lecture 13: MATH 105 Lecture 13
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We first make a chart for function evaluations: Sketch the graph of the following piecewise function. when we graph 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: We need to be 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=1in both even though technically it should only be used with the bottom function. Notice that since the two graphs didn"t meet at x=1 w e left a blank space in the graph.
