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Graphs of functions and their derivatives

Graphs of functions and their derivatives

Assessment

Flashcard

Mathematics

11th - 12th Grade

Practice Problem

Hard

CCSS
HSF.IF.B.4, HSF.IF.A.2, 8.EE.B.5

+1

Standards-aligned

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What does it mean if a function's derivative is negative?

Back

The function is decreasing.

Tags

CCSS.HSF.IF.B.4

2.

FLASHCARD QUESTION

Front

What is the derivative of a function?

Back

The instantaneous rate of change of the function.

3.

FLASHCARD QUESTION

Front

When a graph is increasing, what can be said about its derivative?

Back

The derivative is positive.

Tags

CCSS.HSF.IF.B.4

4.

FLASHCARD QUESTION

Front

When a graph is decreasing, what can be said about its derivative?

Back

The derivative is negative.

Tags

CCSS.8.EE.B.5

5.

FLASHCARD QUESTION

Front

What does the slope of a tangent line to a curve represent?

Back

The derivative of the function at that point.

6.

FLASHCARD QUESTION

Front

If the derivative of a function is zero, what does that indicate?

Back

The function may have a local maximum, minimum, or a point of inflection.

7.

FLASHCARD QUESTION

Front

What is the relationship between a function and its derivative in terms of increasing and decreasing behavior?

Back

If the derivative is positive, the function is increasing; if negative, the function is decreasing.

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