CONCAVITY, & INCREASING /DECREASING RATES FUNCTIONS

CONCAVITY, & INCREASING /DECREASING RATES FUNCTIONS

Assessment

Flashcard

Mathematics

10th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What does it mean for a function to be negative?

Back

A function is negative when its values are below the x-axis.

2.

FLASHCARD QUESTION

Front

What is concavity in relation to a function?

Back

Concavity refers to the direction the curve of the function opens: concave up (like a cup) or concave down (like a frown).

3.

FLASHCARD QUESTION

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as x increases, the function values also increase.

4.

FLASHCARD QUESTION

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as x increases, the function values decrease.

5.

FLASHCARD QUESTION

Front

How can you determine if a function is concave up?

Back

A function is concave up if its second derivative is positive or if the slope of the tangent line is increasing.

6.

FLASHCARD QUESTION

Front

How can you determine if a function is concave down?

Back

A function is concave down if its second derivative is negative or if the slope of the tangent line is decreasing.

7.

FLASHCARD QUESTION

Front

What is the average rate of change of a function?

Back

The average rate of change of a function over an interval is the change in the function's value divided by the change in x over that interval.

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