4.2 Key Features of Graphs

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•
Mathematics
•
12th Grade
•
Hard
+2
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What does it mean for a graph to be decreasing?
Back
A graph is decreasing on an interval if the y-values (output) decrease as the x-values (input) increase. For example, if a temperature graph shows a decrease from 4 pm to midnight, it indicates that the temperature is dropping during that time.
Tags
CCSS.8.EE.B.5
2.
FLASHCARD QUESTION
Front
What is the range of a function?
Back
The range of a function is the set of all possible output values (y-values) that the function can produce. For example, if a temperature function has a range from 95 to 116 degrees, it means the temperature can vary between these two values.
3.
FLASHCARD QUESTION
Front
What is the domain of a function?
Back
The domain of a function is the set of all possible input values (x-values) for which the function is defined. For example, if a function is defined for the time interval from 0 to 24 hours, this is its domain.
4.
FLASHCARD QUESTION
Front
What does absolute minimum mean in the context of a graph?
Back
The absolute minimum is the lowest point on the graph, representing the smallest output value of the function. For example, if the lowest temperature recorded is 95 degrees, this is the absolute minimum.
Tags
CCSS.HSF-IF.C.7D
5.
FLASHCARD QUESTION
Front
What does absolute maximum mean in the context of a graph?
Back
The absolute maximum is the highest point on the graph, representing the largest output value of the function. For example, if the highest temperature recorded is 116 degrees, this is the absolute maximum.
6.
FLASHCARD QUESTION
Front
How do you identify intervals of increase on a graph?
Back
Intervals of increase can be identified by observing where the graph rises as you move from left to right. If the y-values increase as the x-values increase, that interval is increasing.
7.
FLASHCARD QUESTION
Front
How do you identify intervals of decrease on a graph?
Back
Intervals of decrease can be identified by observing where the graph falls as you move from left to right. If the y-values decrease as the x-values increase, that interval is decreasing.
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