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Chapter 1. Functions
1. Chapter 1
Functions2. 1.1
Functions and Their Graphs3.
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Piecewise-Defined FunctionsSometimes a function is described in pieces by using different formulas on different parts
of its domain.
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Linear Functions A function of the form ƒ(x) = mx + b, where m and b are fixed constants,is called a linear function. Figure 1.14a shows an array of lines ƒ(x) = mx. Each of these
has b = 0, so these lines pass through the origin. The function ƒ(x) = x where m = 1 and b
= 0 is called the identity function. Constant functions result when the slope is m = 0
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Algebraic Functions Any function constructed from polynomials using algebraicoperations (addition, subtraction, multiplication, division, and taking roots) lies within the
class of algebraic functions.
Trigonometric Functions
Logarithmic Functions
Transcendental Functions
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Combining Functions;Shifting and Scaling Graphs
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Trigonometric Functions51.
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Graphing withCalculators and Computers