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**Unformatted text preview: **the functions we study in this text, exponential and logarithmic functions are possibly
the ones which impact everyday life the most.1 This section will introduce us to these functions
while the rest of the chapter will more thoroughly explore their properties. Up to this point, we
have dealt with functions which involve terms like x2 or x2/3 , in other words, terms of the form xp
where the base of the term, x, varies but the exponent of each term, p, remains constant. In this
chapter, we study functions of the form f (x) = bx where the base b is a constant and the exponent
x is the variable. We start our exploration of these functions with f (x) = 2x . (Apparently this is a
tradition. Every College Algebra book we have ever read starts with f (x) = 2x .) We make a table
of values, plot the points and connect them in a pleasing fashion.
x y f (x) (x, f (x)) −3 2−3 = −2 2−2 = 1
8
1
4 8 −3, 1
8
−2, 7 1
4
1
2 6
5 −1 2−1 0 20 = 1 (0, 1) 3 1 21 = 2 (1, 2) 2 2 22 = 4 (2, 4) 3 23 = 8 (2, 8) −1, 4 1
−3 −2 −1 1 2 3 x y = f (x) = 2x A few remarks about the graph of f (x) = 2x whic...

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