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Graphs of Polynomials & Factoring

Authored by David Buchanan

Mathematics

12th Grade

Used 1+ times

Graphs of Polynomials & Factoring
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40 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

What is the degree of the polynomial?

f(x) = 2x4−3x2−2x −4?f\left(x\right)\ =\ 2x^4-3x^2-2x\ -4?  

4

3

2

1

2.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

What is the leading term of the polynomial?

f(x) = 3x3−6x5−2x2−5 ?f\left(x\right)\ =\ 3x^3-6x^5-2x^2-5\ ?  

3x33x^3  

−6x5-6x^5  

−2x2-2x^2  

-5

3.

MULTIPLE SELECT QUESTION

10 mins • 1 pt

Check all the even degree polynomials:

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4.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

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What of the following is a correct end behavior?


as x ⟶∞, f(x)⟶ ∞ as\ x\ \longrightarrow\infty,\ f\left(x\right)\longrightarrow\ \infty\  

as x ⟶∞, f(x)⟶−∞as\ x\ \longrightarrow\infty,\ f\left(x\right)\longrightarrow-\infty  

5.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

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What of the following is a correct end behavior?


as x ⟶−∞, f(x)⟶ ∞ as\ x\ \longrightarrow-\infty,\ f\left(x\right)\longrightarrow\ \infty\  

as x ⟶−∞, f(x)⟶−∞as\ x\ \longrightarrow-\infty,\ f\left(x\right)\longrightarrow-\infty  

6.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

What is the domain and range of the polynomial?

f(x) = 3x7 − 2x4 − 3x +1f\left(x\right)\ =\ 3x^{7\ }-\ 2x^{4\ }-\ 3x\ +1  

D(−∞, ∞) R(1, ∞)D\left(-\infty,\ \infty\right)\ R\left(1,\ \infty\right)  

D(−∞, ∞) R(2, ∞)D\left(-\infty,\ \infty\right)\ R\left(2,\ \infty\right)  

D(1, ∞) R(−∞, ∞)D\left(1,\ \infty\right)\ R\left(-\infty,\ \infty\right)  

D(−∞, ∞) R(−∞, ∞)D\left(-\infty,\ \infty\right)\ R\left(-\infty,\ \infty\right)  

7.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

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What is the domain of the graph?

(−∞, ∞)\left(-\infty,\ \infty\right)

(∞, 1)\left(\infty,\ 1\right)

(1, ∞)\left(1,\ \infty\right)

Cannot be determined.

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