
End Behavior of Polynomial Functions
Authored by Mai Nguyen
Mathematics
9th - 12th Grade
CCSS covered
Used 16+ times

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10 questions
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1.
MULTIPLE CHOICE QUESTION
10 sec • 1 pt
In a polynomial function, what's the end behavior of odd degree and leading coefficient positive?
Down, Down
Up , Down
Down, Up
Up, Up
Answer explanation
For a polynomial of odd degree with a positive leading coefficient, the end behavior is that as x approaches negative infinity, the function goes down, and as x approaches positive infinity, the function goes up. Thus, the correct answer is Down, Up.
2.
MULTIPLE CHOICE QUESTION
10 sec • 1 pt
What is the end behavior of a polynomial with even degree and a negative leading coefficient?
Up, Down
Down, Up
Down, Down
Up, Up
Answer explanation
A polynomial with an even degree and a negative leading coefficient will fall to the bottom on both ends. Therefore, the end behavior is Down on the left and Down on the right, making the correct answer Down, Down.
3.
MULTIPLE CHOICE QUESTION
10 sec • 1 pt
Which of the following describes the end behavior of an odd degree polynomial with a negative leading coefficient?
Up, Up
Down, Down
Up, Down
Down, Up
Answer explanation
An odd degree polynomial with a negative leading coefficient will fall to the right and rise to the left. Thus, the end behavior is Down on the right and Up on the left, corresponding to the choice 'Up, Down'.
4.
MULTIPLE CHOICE QUESTION
10 sec • 1 pt
If a polynomial function has an even degree and a positive leading coefficient, what is its end behavior?
Down, Up
Up, Up
Down, Down
Up, Down
Answer explanation
A polynomial with an even degree and a positive leading coefficient rises on both ends. Therefore, its end behavior is Up, Up, which is the correct choice.
5.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
What's the end behavior for f(x)= x ( x + 5)^2?
Down, Up
Up, Down
Down, Down
Up, Up
Answer explanation
To determine the end behavior of f(x) = x(x + 5)^2, note that as x approaches -∞, f(x) approaches -∞ (down), and as x approaches +∞, f(x) approaches +∞ (up). Thus, the end behavior is Down, Up.
6.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Identify the end behavior of f(x) = -x^2(x-2)^3(x+3).
Down, Down
Up, Up
Down, Up
Up, Down
Answer explanation
The leading term is -x^2, which is negative. As x approaches ±∞, f(x) will go to -∞. Thus, the end behavior is Down on both ends, confirming the correct choice is Down, Down.
7.
MULTIPLE CHOICE QUESTION
10 sec • 1 pt
What is the end behavior of odd degree polynomial functions?
The ends point in opposite directions
The graph is always a parabola
The ends point in the same direction
The graph is always a straight line
Answer explanation
Odd degree polynomial functions have end behavior where one end rises to positive infinity and the other falls to negative infinity, meaning the ends point in opposite directions. This is the correct choice.
Tags
CCSS.HSF.IF.C.7
CCSS.HSF.IF.B.4
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