Describe the end behavior of the graph. $$f\left(x\right)=2x^5-3x^3+7x$$

The end behavior on the left side: Falls $$x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$$ and the right side: rises $$x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$

The end behavior on the left side: Rises $$x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$$ and the right side: Rises $$x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$

The end behavior on the left side: Rises $$x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$$ and the right side: Falls $$x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$

The end behavior on the right side: Falls $$x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$$ and the right side: Falls $$x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$

Describe the end behavior of the graph. $$f\left(x\right)=-\frac{2}{3}x+5$$

The end behavior on the left side: Rises $$x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$$ and the right side: Falls $$x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$

The end behavior on the left side: Rises $$x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$$ and the right side: Rises $$x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$

The end behavior on the left side: Falls $$x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$$ and the right side: rises $$x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$

The end behavior on the right side: Falls $$x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$$ and the right side: Falls $$x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$

Describe the end behavior of the graph. $$f\left(x\right)=-0.2x^4+5x^3-2x^2+1$$

The end behavior on the right side: Falls $$x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$$ and the right side: Falls $$x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$

The end behavior on the left side: Rises $$x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$$ and the right side: Rises $$x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$

The end behavior on the left side: Falls $$x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$$ and the right side: rises $$x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$

The end behavior on the left side: Rises $$x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$$ and the right side: Falls $$x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$

Given the following polynomial, state the leading term, the degree, the leading coefficient, and the constant term. $$f\left(x\right)=7x+8x^2-16+32x^4-10x^3$$

Leading term: $$32x^4$$ Degree: 4 Leading coefficient: 32 Constant term: -16

Leading term: $$7x$$ Degree: 1 Leading coefficient: 7 Constant term: -10

Leading term: $$-10x^3$$ Degree: 3 Leading coefficient: -10 Constant term: 7

Leading term: $$8x^2$$ Degree: 2 Leading coefficient: 8 Constant term: -16

Given the following polynomial, state the leading term, the degree, the leading coefficient, and the constant term. $$f\left(x\right)=7x+8x^5-16+32x^4-10x^3$$

Leading term: $$8x^5$$ Degree: 5 Leading coefficient: 8 Constant term: -16

Leading term: $$32x^4$$ Degree: 4 Leading coefficient: 32 Constant term: -16

Leading term: $$7x$$ Degree: 1 Leading coefficient: 7 Constant term: -10

Leading term: $$-10x^3$$ Degree: 3 Leading coefficient: -10 Constant term: 7

Polynomial Final Review

Authored by Kate Sims

Mathematics

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