Composition of Functions
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
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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.
Tags
CCSS.8.F.A.1
2.
FLASHCARD QUESTION
Front
What does it mean to compose functions?
Back
Composing functions means applying one function to the results of another function, denoted as (f ∘ g)(x) = f(g(x)).
Tags
CCSS.HSF-BF.A.1C
3.
FLASHCARD QUESTION
Front
If f(x) = 2x + 3 and g(x) = x - 1, what is g(f(2))?
Back
g(f(2)) = g(2*2 + 3) = g(7) = 7 - 1 = 6.
Tags
CCSS.HSF-BF.A.1C
4.
FLASHCARD QUESTION
Front
What is the notation for function composition?
Back
The notation for function composition is (f ∘ g)(x), which means f(g(x)).
Tags
CCSS.HSF-BF.A.1C
5.
FLASHCARD QUESTION
Front
How do you find (f ∘ g)(x) if f(x) = x^2 and g(x) = 3x + 1?
Back
(f ∘ g)(x) = f(g(x)) = f(3x + 1) = (3x + 1)^2.
Tags
CCSS.HSF-BF.A.1C
6.
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.
7.
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.
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