Extrema and end behavior

Extrema and end behavior

Assessment

Flashcard

Mathematics

10th Grade

Practice Problem

Hard

Created by

Wayground Content

Used 1+ times

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a relative maximum?

Back

A relative maximum is a point on a graph where the function value is higher than the values of the function at nearby points.

2.

FLASHCARD QUESTION

Front

What does the notation x → -∞ signify?

Back

It indicates that x is approaching negative infinity, meaning it is getting larger in the negative direction.

3.

FLASHCARD QUESTION

Front

What does the notation x → ∞ signify?

Back

It indicates that x is approaching positive infinity, meaning it is getting larger in the positive direction.

4.

FLASHCARD QUESTION

Front

How do you determine the end behavior of a polynomial function?

Back

The end behavior can be determined by the leading term of the polynomial. If the leading coefficient is positive and the degree is even, both ends go up. If the leading coefficient is negative and the degree is even, both ends go down.

5.

FLASHCARD QUESTION

Front

What is the end behavior of a function if both ends go to infinity?

Back

If both ends go to infinity, it can be expressed as: x → -∞, f(x) → ∞ and x → ∞, f(x) → ∞.

6.

FLASHCARD QUESTION

Front

What is the end behavior of a function if one end goes to infinity and the other goes to negative infinity?

Back

If one end goes to infinity and the other goes to negative infinity, it can be expressed as: x → -∞, f(x) → ∞ and x → ∞, f(x) → -∞.

7.

FLASHCARD QUESTION

Front

What is an extremum?

Back

An extremum is a point in a function where it reaches a local maximum or minimum.

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