PP Section 4.6 - Polynomial Functions A polynomial function...

Info iconThis preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Polynomial Functions A polynomial function is a function of the form f x a x a x a x a n n n n ( ) = + + + +-- 1 1 1 0 where a n , a n-1 ,…, a 1 , a are real numbers and n is a nonnegative integer. The domain consists of all real numbers. The degree of the polynomial is the largest power of x that appears. Example : Determine which of the following are polynomials. For those that are, state the degree. (a) f x x x ( ) =- + 3 4 5 2 Polynomial of degree 2 (b) h x x ( ) =- 3 5 Not a polynomial (c) F x x x ( ) =- 3 5 2 5 Not a polynomial A power function of degree n is a function of the form n n x a x f = ) ( where a is a real number, a not 0, and n > 0 is an integer. Examples: 4 3 ) ( x x f = 7 5 ) ( x x f- = even , , ) ( n a ax x f n = Symmetric with respect to the y-axis. Domain is the set of all real numbers. Range is the set of nonnegative real numbers. What changes if a < 0? odd , , ) ( n a ax x f n = Symmetric with respect to the origin....
View Full Document

This note was uploaded on 01/22/2011 for the course MATH 2 taught by Professor Gardner during the Fall '08 term at Irvine Valley College.

Page1 / 21

PP Section 4.6 - Polynomial Functions A polynomial function...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online