Transcription of Chapter 3 Polynomial Functions - MS Guides
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Chapter 3 Polynomial Functions - MS Guides
MHR 978-0-07-0738850 Pre-Calculus 12 Solutions Chapter 3 Page 1 of 76 Chapter 3 Polynomial Functions Section Characteristics of Polynomial Functions Section Page 114 Question 1 A Polynomial function has the form f(x) = anxn + an 1xn 1 + an 2xn 2 + .. + a2x2 + a1x + a0, where an is the leading coefficient; a0 is the constant; and the degree of the Polynomial , n, is the exponent of the greatest power of the variable, x. a) The function h(x) = 2x is a radical function, not a Polynomial function. x is the same as 12x, which has an exponent that is not a whole number. b) The function y = 3x + 1 is of the form y = a1x + a0. It is a Polynomial of degree 1. The leading coefficient is 3 and the constant term is 1.
MHR • 978-0-07-0738850 Pre-Calculus 12 Solutions Chapter 3 Page 2 of 76 f) The function h(x) = –6 has degree 0; it is a constant function with a leading coefficient of 0, and a constant term of –6. Section 3.1 Page 114 Question 3 a) Since the graph of the function extends down into quadrant III and up into quadrant I, it is an odd-degree polynomial function with a positive leading ...
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