
EOC Review Function Chartacteristics

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•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
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, the range of the function f(x) = x^2 is [0, +∞) because the output is always non-negative.
2.
FLASHCARD QUESTION
Front
What are relative maximums and minimums in a function?
Back
Relative maximums are points where the function value is higher than the values around it, while relative minimums are points where the function value is lower than the values around it. These points are found at turning points of the graph.
3.
FLASHCARD QUESTION
Front
How do you find relative maximums and minimums on a graph?
Back
Relative maximums and minimums can be found at turning points, which are points where the graph changes direction from increasing to decreasing (maximum) or from decreasing to increasing (minimum).
4.
FLASHCARD QUESTION
Front
What does it mean for a function to be increasing on an interval?
Back
A function is increasing on an interval if, as the x-values increase, the y-values also increase. This means that for any two points a and b in the interval, if a < b, then f(a) < f(b).
5.
FLASHCARD QUESTION
Front
What does it mean for a function to be decreasing on an interval?
Back
A function is decreasing on an interval if, as the x-values increase, the y-values decrease. This means that for any two points a and b in the interval, if a < b, then f(a) > f(b).
6.
FLASHCARD QUESTION
Front
What is a turning point in a function?
Back
A turning point is a point on the graph of a function where the function changes from increasing to decreasing or from decreasing to increasing. These points are often where relative maximums or minimums occur.
7.
FLASHCARD QUESTION
Front
What is the difference between absolute and relative extrema?
Back
Absolute extrema are the highest or lowest points over the entire domain of the function, while relative extrema are the highest or lowest points in a specific interval.
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