3.2_Characteristics.Of.Polynomials

3.2_Characteristics.Of.Polynomials - Do all functions have...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
MHF 4U0 3.2 Characteristics of Polynomial Functions Equation and Graph Degree Even/Odd Degree? Leading Coefficient End Behaviours # of Turning Points Symmetry (Even/Odd) -∞ x x (a) x x x f 2 ) ( 3 - = (b) 1 3 4 2 ) ( 2 3 - - + - = x x x x f (c) 5 5 4 4 3 ) ( 2 3 4 + + - - = x x x x x f pg. 1/3
Background image of page 1

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

View Full DocumentRight Arrow Icon
MHF 4U0 Equation and Graph Degree Even/Odd Degree? Leading Coefficient End Behaviours # of Turning Points Symmetry -∞ x x (d) x x x x x f 2 2 ) ( 2 3 4 + + - - = (e) 5 18 3 7 2 ) ( 2 3 4 5 + - - + = x x x x x f (f) x x x x x x f 3 4 2 5 5 ) ( 2 3 4 5 + + - + - = pg. 2/3
Background image of page 2
MHF 4U0 3.2 Characteristics of Polynomial Functions Some Points to Ponder… 1. Compare the end behaviour of functions of odd degree with the end behaviour of functions of even degree. How can you determine the end behaviour by looking at the equation for the function? 2. How many turning points will a polynomial function of degree n have? 3. How many x -intercepts (roots/zeroes) will a polynomial function of degree n have? 4.
Background image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Do all functions have at least one zero? Why or why not? 5. Do all polynomial functions have an absolute maximum or absolute minimum? Explain. 6. Is every function of even degree an even function? Why or why not? 7. Is every function of odd degree an odd function? Why or why not? 8. Can an even function have odd degree? Can an odd function have even degree? Example #1: For each of the functions listed below: (a) describe the end behaviour (b) discuss the possible number of turning points and zeroes (c) sketch a possible graph of the function (i) 1 2 ) ( 2 4 + + = x x x f (ii) x x x g 3 ) ( 5--= (iii) 5 2 3 ) ( 2 3--+ = x x x x h Assigned Work: page 136 #1 3, 4abde, 5 (pair share), 6ac, 7bd, 8, 9, 12 pg. 3/3...
View Full Document

Page1 / 3

3.2_Characteristics.Of.Polynomials - Do all functions have...

This preview shows document pages 1 - 3. Sign up to view the full document.

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