1. ALGEBRA II HONORS/GIFTED - SECTION 5-1 (Polynomial Functions)
2/28/2019
ALGEBRA II HONORS/GIFTED @
SECTION 5-1 : POLYNOMIAL FUNCTIONS

2. 1) Fill in the chart.
DEGREE
NAME
EXAMPLE 1 2 3 4 5

3. Write each polynomial in Standard Form
Write each polynomial in Standard Form. Then, classify by degree and number of terms.
2) 3x3 – x + 5x4
4) 4x – 6x2 + x3 – x2
ANSWERS : 5x4 + 3x3 – x,
quartic trinomial
ANSWERS : x3 + 4x2 + 4x – 12,
cubic polynomial
3) 2x2 – 4x5
ANSWERS : -4x5 + 2x2 + 13,
quintic binomial

4. Determine the end behavior of the graph of each polynomial function
Determine the end behavior of the graph of each polynomial function. (Hint : )
5) y = x3
8) y = -x3
6) y = 2x3 – 4x + 3
9) y = -x3 + 2x2 + x - 2
7) y = x3 – 2x2 – x + 2
10) y = -2x3 + x + 4

5. +, even -, even +, odd -, odd 11) y = x4 + x3 + 2
15) Now, let’s make some generalizations.
Leading Coefficient
Left
Right
+, even
-, even
+, odd
-, odd
12) y = x4 – x2 - 3
13) y = x3 – x4 + x - 4
14) y = 5 – x4 + x3

6. ANSWERS : down and up; there are no turning points; increases from
Determine the shape of the graph of each cubic function including end behavior, turning points, and increasing/decreasing intervals.
16) y = -x3 + 12x
17) y = x3
ANSWERS : up and down; turning points at (-2, -16) and (2, 16); decreases from to -2, increases from -2 to 2, decreases from 2 to
ANSWERS : down and up; there are no turning points; increases from to