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Polynomial Functions End Behavior Quiz Mr. Prez 9/11/24

Authored by Adam Prezbindowski

Mathematics

11th Grade

CCSS covered

Used 6+ times

Polynomial Functions End Behavior Quiz Mr. Prez 9/11/24
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12 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given the polynomial function f(x)=2x3−5x2+3x−1f(x) = 2x^3 - 5x^2 + 3x - 1 , what is the end behavior of the function as x→∞x \to \infty and x→−∞x \to -\infty ?

As x→∞x \to \infty , f(x)→−∞f(x) \to -\infty ; as x→−∞x \to -\infty , f(x)→∞f(x) \to \infty

As x→∞x \to \infty , f(x)→∞f(x) \to \infty ; as x→−∞x \to -\infty , f(x)→−∞f(x) \to -\infty

As x→∞x \to \infty , f(x)→∞f(x) \to \infty ; as x→−∞x \to -\infty , f(x)→∞f(x) \to \infty

As x→∞x \to \infty , f(x)→−∞f(x) \to -\infty ; as x→−∞x \to -\infty , f(x)→−∞f(x) \to -\infty

Tags

CCSS.HSA.APR.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the end behavior of the polynomial function g(x)=−x4+3x2−2g(x) = -x^4 + 3x^2 - 2 ?

As x→∞x \to \infty , g(x)→∞g(x) \to \infty ; as x→−∞x \to -\infty , g(x)→∞g(x) \to \infty

As x→∞x \to \infty , g(x)→−∞g(x) \to -\infty ; as x→−∞x \to -\infty , g(x)→−∞g(x) \to -\infty

As x→∞x \to \infty , g(x)→−∞g(x) \to -\infty ; as x→−∞x \to -\infty , g(x)→∞g(x) \to \infty

As x→∞x \to \infty , g(x)→∞g(x) \to \infty ; as x→−∞x \to -\infty , g(x)→−∞g(x) \to -\infty

Tags

CCSS.HSA.REI.D.10

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given the graph of a polynomial function, which of the following could be its equation based on the end behavior: as x→∞x \to \infty , f(x)→∞f(x) \to \infty ; as x→−∞x \to -\infty , f(x)→−∞f(x) \to -\infty ?

f(x)=−x3+2x2−x+1f(x) = -x^3 + 2x^2 - x + 1

f(x)=x3−4x+2f(x) = x^3 - 4x + 2

f(x)=−x4+x2−3f(x) = -x^4 + x^2 - 3

f(x)=x2−5x+6f(x) = x^2 - 5x + 6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For the polynomial function q(x)=3x5−2x3+xq(x) = 3x^5 - 2x^3 + x , what is the end behavior as x→∞x \to \infty and x→−∞x \to -\infty ?

As x→∞x \to \infty , q(x)→∞q(x) \to \infty ; as x→−∞x \to -\infty , q(x)→−∞q(x) \to -\infty

As x→∞x \to \infty , q(x)→−∞q(x) \to -\infty ; as x→−∞x \to -\infty , q(x)→∞q(x) \to \infty

As x→∞x \to \infty , q(x)→∞q(x) \to \infty ; as x→−∞x \to -\infty , q(x)→∞q(x) \to \infty

As x→∞x \to \infty , q(x)→−∞q(x) \to -\infty ; as x→−∞x \to -\infty , q(x)→−∞q(x) \to -\infty

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.APR.A.1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following graphs represents a polynomial function with the equation r(x)=−2x3+5x−1r(x) = -2x^3 + 5x - 1 based on its end behavior?

The graph rises to the right and falls to the left.

The graph falls to the right and rises to the left.

The graph rises to both the right and left.

The graph falls to both the right and left.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A relative minimum is...

A point on a polynomial graph where all nearby points are lower (have a lesser "Y" value) than it.

A point on a polynomial graph where all nearby points are higher (have a greater "Y" value) than it.

A point on a polynomial graph where the "X" value is zero.

A point on a polynomial graph where the "Y" value is zero.

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given the graph of a polynomial function, which of the following could be its equation based on the end behavior: as x→∞x \to \infty , f(x)→−∞f(x) \to -\infty ; as x→−∞x \to -\infty , f(x)→−∞f(x) \to -\infty ?

f(x)=x4−3x2+2f(x) = x^4 - 3x^2 + 2

f(x)=−x4+2x2−1f(x) = -x^4 + 2x^2 - 1

f(x)=x3−x+1f(x) = x^3 - x + 1

f(x)=−x3+4x−5f(x) = -x^3 + 4x - 5

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