1.2 Increasing/Decreasing Intervals

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•
Mathematics
•
12th Grade
•
Hard
Standards-aligned
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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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