What does it mean for a function to be increasing on an interval?
Algebra Back From Break 2025
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Mathematics
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9th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
Back
A function is increasing on an interval if, for any two points in that interval, the function's value at the second point is greater than at the first point.
2.
FLASHCARD QUESTION
Front
How do you determine the intervals where a function is increasing?
Back
To determine where a function is increasing, find the derivative of the function and identify where it is positive.
3.
FLASHCARD QUESTION
Front
What is an explicit equation for a sequence?
Back
An explicit equation for a sequence defines the nth term of the sequence as a function of n.
4.
FLASHCARD QUESTION
Front
Given the sequence 25, 21, 17, 13,..., what is the common difference?
Back
The common difference is -4, as each term decreases by 4.
5.
FLASHCARD QUESTION
Front
What is the vertex of a quadratic function in vertex form?
Back
6.
FLASHCARD QUESTION
Front
Back
The vertex is found at the point (3, 1).
7.
FLASHCARD QUESTION
Front
What does it mean for a function to be negative on an interval?
Back
A function is negative on an interval if its values are less than zero for all points in that interval.
8.
FLASHCARD QUESTION
Front
How do you identify where a function is negative?
Back
To identify where a function is negative, find the intervals where the function's output is less than zero.
9.
FLASHCARD QUESTION
Front
What is the formula for the circumference of a circle?
Back
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