2.1 Characteristics of Polynomial Functions

Question 1

Odd degree function properties

Answer 1

• Can have point symmetry
• has at least 1 x-intercept up to a max of n x-intercepts
• domain and range is all real numbers
• graph ends in opposite direction

Question 2

If ‘a’ is positive in an odd degree function…

Answer 2

The graph extends from Q3 to Q1

Question 3

If ‘a’ is negative in an odd degree function…

Answer 3

The graph extends from Q2 to Q4

Question 4

Even degree function properties

Answer 4

• Can have line symmetry
• Can have zero x-intercepts up to a max of n x-intercepts
• domain is all real numbers
• range depends on local max/min values
• graph ends in same direction

Question 5

If ‘a’ is positive in an even degree function…

Answer 5

The graph extends from Q2 to Q1

Question 6

If ‘a’ is negative in an even degree function…

Answer 6

The graph extends from Q3 to Q4

Question 7

Local maximums/minimums

Answer 7

Polynomials can have up to (n-1) local max and mins