FC Increasing and Decreasing Practice

FC Increasing and Decreasing Practice

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
6.EE.B.8

Standards-aligned

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is an interval of increase in a function?

Back

An interval of increase is a range of x-values where the function's output (f(x)) is rising as x increases.

2.

FLASHCARD QUESTION

Front

What is an interval of decrease in a function?

Back

An interval of decrease is a range of x-values where the function's output (f(x)) is falling as x increases.

3.

FLASHCARD QUESTION

Front

How do you identify local maxima on a graph?

Back

Local maxima are points where the function value is higher than the values of the function at nearby points.

4.

FLASHCARD QUESTION

Front

What does the notation (-∞, 0) ∪ (2, ∞) represent?

Back

This notation represents two intervals: all values less than 0 and all values greater than 2.

5.

FLASHCARD QUESTION

Front

What is the significance of critical points in a function?

Back

Critical points are where the derivative is zero or undefined, indicating potential local maxima, minima, or points of inflection.

6.

FLASHCARD QUESTION

Front

How can you determine if a function is increasing or decreasing on an interval?

Back

You can determine this by analyzing the sign of the derivative: if f'(x) > 0, the function is increasing; if f'(x) < 0, it is decreasing.

7.

FLASHCARD QUESTION

Front

What is the difference between open and closed intervals?

Back

Open intervals do not include their endpoints (e.g., (a, b)), while closed intervals do include their endpoints (e.g., [a, b]).

Tags

CCSS.6.EE.B.8

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