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Unformatted text preview: this we require that b
not be a negative number.
Now, let’s take a look at a couple of graphs. We will be able to get most of the properties of
exponential functions from these graphs.
Example 1 Sketch the graph of f ( x ) = 2 x and g ( x ) = ç ÷ on the same axis system.
Okay, since we don’t have any knowledge on what these graphs look like we’re going to have to
pick some values of x and do some function evaluations. Function evaluation with exponential
functions works in exactly the same manner that all function evaluation has worked to this point.
Whatever is in the parenthesis on the left we substitute into all the x’s on the right side.
Here are some evaluations for these two functions, © 2007 Paul Dawkins 280 http://tutorial.math.lamar.edu/terms.aspx College Algebra æ1ö
g ( x) = ç ÷
è2ø f ( x ) = 2x x x -2 2 -1 1 -2 f ( -2 ) = 2-2 = 11
22 4 æ1ö
g ( -2 ) = ç ÷ = ç ÷ = 4
è1ø -1 f ( -1) = 2-1 = 11
21 2 æ1ö
g ( -1) = ç ÷ = ç ÷...
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.
- Spring '12