
1.2-1.3 Review (Increasing/Decreasing Functions, Concavity)
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What does it mean for a function to be increasing on an interval?
Back
A function f is increasing on an interval if for any two points a and b in that interval, if a < b, then f(a) < f(b).
2.
FLASHCARD QUESTION
Front
True or False: A function can be both increasing and decreasing on the same interval.
Back
FALSE
3.
FLASHCARD QUESTION
Front
What is a constant function with a constant rate of change?
Back
A constant function is one where the output value does not change regardless of the input value, resulting in a rate of change of zero.
4.
FLASHCARD QUESTION
Front
What does it mean for a function to be increasing at a decreasing rate?
Back
A function is increasing at a decreasing rate if the slope of the function is positive but getting smaller as x increases.
5.
FLASHCARD QUESTION
Front
What is a decreasing function?
Back
A function f is decreasing on an interval if for any two points a and b in that interval, if a < b, then f(a) > f(b).
6.
FLASHCARD QUESTION
Front
What does it mean for a function to be decreasing with a constant rate of change?
Back
A function is decreasing with a constant rate of change if the slope of the function is negative and remains the same across the interval.
7.
FLASHCARD QUESTION
Front
What is the definition of concavity in a function?
Back
Concavity refers to the direction in which a function curves: a function is concave up if it opens upwards and concave down if it opens downwards.
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