Exploring End Behavior in Polynomial Functions

Exploring End Behavior in Polynomial Functions

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Hard

Created by

Aiden Montgomery

FREE Resource

The video tutorial covers polynomial functions and their end behavior, focusing on how to describe the behavior of functions as they approach positive and negative infinity. It introduces limit notation to express these behaviors and explains the impact of the leading term's degree and coefficient on the function's end behavior. The tutorial distinguishes between even and odd degree polynomials, providing examples and practice problems to reinforce the concepts.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to a polynomial function as x approaches negative infinity?

It remains undefined.

It oscillates.

It goes up or down.

It becomes constant.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which notation is used to describe the end behavior of a function as x approaches negative infinity?

lim x → ∞

lim x → -∞

lim y → -∞

lim y → ∞

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a function increases as x approaches negative infinity, how is it described using limit notation?

lim x → -∞ P(x) = ∞

lim x → -∞ P(x) = -∞

lim x → ∞ P(x) = ∞

lim x → ∞ P(x) = -∞

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the end behavior of a polynomial function if it decreases as x approaches positive infinity?

lim x → ∞ P(x) = ∞

lim x → -∞ P(x) = ∞

lim x → ∞ P(x) = -∞

lim x → -∞ P(x) = -∞

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the end behavior of a polynomial function without looking at the graph?

By checking the constant term.

By evaluating the middle terms.

By analyzing the leading term.

By considering the y-intercept.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the end behavior of a polynomial function if the leading term has an even degree and a positive coefficient?

Both ends go up.

Both ends go down.

One end goes up, the other goes down.

It remains constant.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For a polynomial function with an odd degree and a positive leading coefficient, what is the end behavior?

Both ends go up.

Both ends go down.

Left end goes down, right end goes up.

Left end goes up, right end goes down.

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