Polynomial Warm Up

x² + 3x - 1

x² - 3x - 9

x⁴ - 3x² - 9

5x² - 11x - 9

10x² - 5x + 1

2x² - 5x - 3

10x² - 5x - 3

2x² + 11x + 1

3x³ + 11x² - 14x - 8

3x³ - 4x² - 20x - 8

x² + 8x - 2

3x³ + 19x² + 26x -8

f(x) = 5x² - 2x³

f(x) = x⁵ - 3x² + 8x⁶

f(x) = 5x² + 6x + 7 + 8x³

f(x) = -4x³ - 5x + 9

3x - 5

2x⁵ - 6x⁴ + x³ + 7

- 5x⁴ + 8x³ +1

3x⁵ - 6x⁴ + 9x³ + 2x² - 7

$$f\left(x\right)=3x^4+2x^2-x+1$$

$$f\left(x\right)=-6x^4+3x^3-2x^2-1$$

$$f\left(x\right)=5x^3-4x^2+2x$$

$$f\left(x\right)=-3x^3-2x+5$$

$$as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow+\infty$$ $$as\ x\rightarrow+\infty,\ f\left(x\right)\rightarrow+\infty$$

$$as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$$ $$as\ x\rightarrow+\infty,\ f\left(x\right)\rightarrow-\infty$$

$$as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow+\infty$$ $$as\ x\rightarrow+\infty,\ f\left(x\right)\rightarrow-\infty$$

$$as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$$ $$as\ x\rightarrow+\infty,\ f\left(x\right)\rightarrow+\infty$$