Function Operations and Composite Functions

Flashcard
•
Mathematics
•
9th Grade - University
•
Hard
+2
Standards-aligned
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16 questions
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1.
FLASHCARD QUESTION
Front
What is a function?
Back
A function is a relation that assigns exactly one output for each input from a set of inputs.
Tags
CCSS.8.F.A.1
2.
FLASHCARD QUESTION
Front
What are function operations?
Back
Function operations include addition, subtraction, multiplication, and division of functions.
Tags
CCSS.HSF-BF.A.1B
3.
FLASHCARD QUESTION
Front
How do you add two functions f(x) and g(x)?
Back
To add two functions, you combine their outputs: (f + g)(x) = f(x) + g(x).
Tags
CCSS.HSF-BF.A.1B
4.
FLASHCARD QUESTION
Front
How do you subtract two functions f(x) and g(x)?
Back
To subtract two functions, you find the difference of their outputs: (f - g)(x) = f(x) - g(x).
Tags
CCSS.HSF-BF.A.1B
5.
FLASHCARD QUESTION
Front
How do you multiply two functions f(x) and g(x)?
Back
To multiply two functions, you multiply their outputs: (f ⋅ g)(x) = f(x) * g(x).
Tags
CCSS.HSF-BF.A.1B
6.
FLASHCARD QUESTION
Front
How do you divide two functions f(x) and g(x)?
Back
To divide two functions, you divide their outputs: (f / g)(x) = f(x) / g(x), provided g(x) ≠ 0.
Tags
CCSS.HSF-BF.A.1B
7.
FLASHCARD QUESTION
Front
What is a composite function?
Back
A composite function is formed when one function is applied to the result of another function: (f ∘ g)(x) = f(g(x)).
Tags
CCSS.HSF-BF.A.1C
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