What does it mean for a function to be 'never decreasing'?
3.5 ESL Flashcard

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•
Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A function is 'never decreasing' if its value does not decrease as the input increases. This means that for any two points in the domain, if x1 < x2, then f(x1) <= f(x2).
2.
FLASHCARD QUESTION
Front
List the types of intervals that a graph can demonstrate.
Back
The types of intervals a graph can demonstrate include increasing, constant, and decreasing.
3.
FLASHCARD QUESTION
Front
What does it mean for a function to be 'increasing'?
Back
A function is 'increasing' if, as the input values increase, the output values also increase. This means that for any two points in the domain, if x1 < x2, then f(x1) < f(x2).
4.
FLASHCARD QUESTION
Front
What does it mean for a function to be 'constant'?
Back
A function is 'constant' if its output value does not change as the input value changes. This means that for any two points in the domain, f(x1) = f(x2) for all x.
5.
FLASHCARD QUESTION
Front
What does it mean for a function to be 'decreasing'?
Back
A function is 'decreasing' if, as the input values increase, the output values decrease. This means that for any two points in the domain, if x1 < x2, then f(x1) > f(x2).
6.
FLASHCARD QUESTION
Front
How can you determine if a function is increasing, constant, or decreasing over an interval?
Back
You can determine this by analyzing the slope of the function over that interval. If the slope is positive, the function is increasing; if the slope is zero, it is constant; and if the slope is negative, it is decreasing.
7.
FLASHCARD QUESTION
Front
What does it mean for a distance to 'remain constant' between two points in time?
Back
It means that the distance does not change as time progresses, indicating that the object is not moving during that time interval.
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