1.2 Increasing/Decreasing Intervals

1.2 Increasing/Decreasing Intervals

Assessment

Flashcard

Mathematics

12th Grade

Hard

CCSS
HSF-IF.C.7C, HSA.APR.B.3, HSF.IF.B.4

Standards-aligned

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15 questions

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1.

FLASHCARD QUESTION

Front

What are increasing intervals in a function?

Back

Increasing intervals are ranges of x-values where the function's output (y-value) is rising as x increases.

2.

FLASHCARD QUESTION

Front

What are decreasing intervals in a function?

Back

Decreasing intervals are ranges of x-values where the function's output (y-value) is falling as x increases.

3.

FLASHCARD QUESTION

Front

How do you determine where a function is increasing or decreasing?

Back

To determine where a function is increasing or decreasing, analyze the first derivative of the function. If the derivative is positive, the function is increasing; if negative, it is decreasing.

4.

FLASHCARD QUESTION

Front

What does it mean if a function has a local maximum?

Back

A local maximum is a point where the function value is higher than all nearby points, indicating a peak in the graph.

5.

FLASHCARD QUESTION

Front

What does it mean if a function has a local minimum?

Back

A local minimum is a point where the function value is lower than all nearby points, indicating a trough in the graph.

6.

FLASHCARD QUESTION

Front

What is the significance of x-intercepts in a polynomial function?

Back

X-intercepts are points where the function crosses the x-axis, indicating the values of x for which the function equals zero.

Tags

CCSS.HSF-IF.C.7C

7.

FLASHCARD QUESTION

Front

How can you find the x-intercepts of a polynomial function?

Back

To find the x-intercepts of a polynomial function, set the function equal to zero and solve for x.

Tags

CCSS.HSA.APR.B.3

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