Section 3_1

# Section 3_1 - Math 1650 Lecture Notes Â 3.1 Jason Snyder...

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Unformatted text preview: Math 1650 Lecture Notes Â§ 3.1 Jason Snyder, PhD Polynomial Functions and Their Graphs Page 1 of 10 Â§ 3.1: Polynomial Functions and Their Graphs Graphs of Polynomials The graphs of polynomials of degree 0 or 1 are lines and the graphs of polynomials of degree 2 are parabolas. As the degree of the polynomial increases, the graphs become more complex. The graphs of several polynomial functions are shown below: x y ? = ? x y ? = ? 2 ?Â¡ = Â¢ Â£ ? Â£ + Â¢ Â£âˆ’ 1 ? Â£âˆ’ 1 + â‹¯ + Â¢ 1 ? + Â¢ Polynomial Functions A polynomial function of degree n is a function of the form where Â£ is a non-negative integer and Â¢ Â£ â‰  0. The numbers Â¢ Â£ , Â¢ Â£âˆ’ 1 , â€¦ , Â¢ 1 , Â¢ are called the coefficients of the polynomial. The number Â¢ is called the constant coefficient or constant term . The number Â¢ Â£ , the coefficient of the highest power, is the leading coefficient , and Â¢ Â£ ? Â£ is called the leading term . Math 1650 Lecture Notes Â§ 3.1 Jason Snyder, PhD Polynomial Functions and Their Graphs Page 2 of 10 x y ? = ? 3 x y ? = ? 4 x y ? = ? 5 Math 1650 Lecture Notes Â§ 3.1 Jason Snyder, PhD Polynomial Functions and Their Graphs Page 3 of 10 Example 1 Transformations of Monomials Sketch the graphs of the following functions (a) ?Â¡ = âˆ’?...
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Section 3_1 - Math 1650 Lecture Notes Â 3.1 Jason Snyder...

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