Functions (operations, compositions, inverses) Review
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a function?
Back
A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.
2.
FLASHCARD QUESTION
Front
What is the notation for a function?
Back
Functions are typically denoted by letters such as f, g, and h, followed by parentheses containing the input variable, e.g., f(x).
3.
FLASHCARD QUESTION
Front
What does it mean for a function to be one-to-one?
Back
A function is one-to-one if it never assigns the same value to two different domain elements.
4.
FLASHCARD QUESTION
Front
How do you find the inverse of a function algebraically?
Back
To find the inverse of a function, swap the x and y variables in the equation and solve for y.
5.
FLASHCARD QUESTION
Front
What is the graphical representation of a function and its inverse?
Back
The graph of a function and its inverse are reflections of each other across the line y = x.
6.
FLASHCARD QUESTION
Front
What is function composition?
Back
Function composition is the process of applying one function to the results of another function, denoted as (f ∘ g)(x) = f(g(x)).
7.
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.
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