Pre-Calculus Polynomial Worksheet For #1-4, use the Leading Coefficient Test to determine the end behavior of the graph of the given
polynomial function. Then use this end behavior to match the polynomial function with its graph.
1. f(x)=-x^3+ x² + 2x
2. f(x)=x^6– 6x* + 9x?
3. f(x)=x^5– 5x + 4x
4. f(x)=-x^4-1

1) odd - its decreasing then increasing then decreasing again

down, up, then down

2) even - both ends point up

3) odd - it's increasing then decreasing then increasing again

up, down, then up

4) even - both sides point down

Step-by-step explanation:

try graphing each equation using the desmos website

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

5y

step-by-step explanation: