WEBVTT
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in this problem, we're going to use a graphing
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calculator to compare some different graphs on a common screen
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and see how they're related. So we go toe
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y equals and we type the four functions in there
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. And what we see is each one has a
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base that's between zero and one. And so let's
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see how changing that base affects the graph. For
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my viewing window. I'm using negative 10 to 10
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on the X axis and negative 2 to 20 on
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my Y axis. But those numbers could be different
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. You could just fiddle with it until you find
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something you like. So now we look at the
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graphs. Now the blue one is y equals 10.9
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to the X. The red one is y equals
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10.6 to the X. The black one is y
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equals 10.3 to the X, and the pink one
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is y equals 10.1 to the X. Notice that
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the closer the base is toe one, the less
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steep the graph is. The steepest of the graphs
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had the base that was closest toe one are closest
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to zero, and the let least steep had the
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base that was, uh, closest to one.
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Other than that, they are all exponential decay graphs