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Types of Functions Algebraic Functions

MATH 1170 Chapter 1 Worksheet #1 NAMENote:It Ibolded and underlineda term, you are responsible for a verbadom definition of that term(as well as understanding that definition). If I justboldeda term, I only expect that you are comfortablewith the use of and using that term ( understanding it). Types of FunctionsNow that we have discussed what Functions are and some of their characteristics, we will explore differenttypes of fumctions. Section of the text outlines a variety of Types of Functions . Notice that since thefollowing are all Functions , they will all pass the Vertical Line FunctionsA function is called analgebraic functionif it can be constructed using Algebraic operations (such asaddition, subtraction, multiplication, division and taking roots).Polynomials, power Functions , and rational function are all Algebraic PolynomialsA functionpis apolynomialifp(x) =anxn+an 1xn 1+..+a2x2+a1x+a0wherenis a nonnegative integer anda0,a1,a2.

In this case, f(x) = x 1 is the reciprocal function. Is f(x) = x 1 a polynomial? Using your graphing calculator as a tool, sketch a graph of f(x) = x 1 and describe the domain, range and intervals of increasing and decreasing: Domain: Range: Increasing: Decreasing: 3 Rational Functions

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