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

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step-by-step explanation:

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x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15