6.2.3 Investigating Graphs of Polynomial Functions - Worksheet
Example 1: Identify the leading coefficient, degree, and end behavior. 1. P ( x ) = − 4 x 4 − 3 x 3 + x 2 + 4
2. Q ( x ) = − 2 x 7 + 6 x 5 + 2 x 3
3. R ( x ) = x 5 − 4 x 2 + 3 x − 1
4. S ( x ) = 3 x 2 + 6 x − 10
Example 2: Identify whether the function graphed has an odd or even degree and a positive or negative leading coefficient. 5. 6. 7. 8.
Example 3: Graph each function. 9. f ( x ) = x 2 − 5 x − 50
10. f ( x ) =− + + + f x x x x ( ) 3 2 3 2
25 12
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