Function notation & rate of change
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is function notation?
Back
Function notation is a way to represent a function using symbols, typically written as f(x), where 'f' is the name of the function and 'x' is the input variable.
2.
FLASHCARD QUESTION
Front
What does the domain of a function represent?
Back
The domain of a function is the set of all possible input values (x-values) for which the function is defined.
3.
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.
4.
FLASHCARD QUESTION
Front
What is the average rate of change of a function?
Back
The average rate of change of a function over an interval [a, b] is calculated as (f(b) - f(a)) / (b - a).
5.
FLASHCARD QUESTION
Front
What does a constant rate of change indicate about a function?
Back
A constant rate of change indicates that the function is linear, meaning it has a constant slope.
6.
FLASHCARD QUESTION
Front
What is a non-linear function?
Back
A non-linear function is a function whose graph is not a straight line, indicating that the rate of change varies.
7.
FLASHCARD QUESTION
Front
How do you find the rate of change from a graph?
Back
To find the rate of change from a graph, select two points on the line, and use the formula (change in y) / (change in x).
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