Function Operations and Composite Functions Review

Flashcard
•
Mathematics
•
9th Grade
•
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
Define composite function.
Back
A composite function is a function that is formed when one function is applied to the results of another function, denoted as (g ∘ f)(x) = g(f(x)).
Tags
CCSS.HSF-BF.A.1C
3.
FLASHCARD QUESTION
Front
What is the notation for function multiplication?
Back
The notation for function multiplication is (f * g)(x) = f(x) * g(x).
Tags
CCSS.HSF-BF.A.1B
4.
FLASHCARD QUESTION
Front
How do you find f(g(x))?
Back
To find f(g(x)), substitute g(x) into the function f wherever there is an x.
Tags
CCSS.HSF-BF.A.1C
5.
FLASHCARD QUESTION
Front
What is the result of f(x) = x^2 and g(x) = 3x when finding g(f(x))?
Back
g(f(x)) = g(x^2) = 3(x^2) = 3x^2.
Tags
CCSS.HSF-BF.A.1C
6.
FLASHCARD QUESTION
Front
Evaluate f(x) = 2x + 3 for f(4).
Back
f(4) = 2(4) + 3 = 8 + 3 = 11.
Tags
CCSS.HSF.IF.A.2
7.
FLASHCARD QUESTION
Front
What is the difference between f(x) and g(x)?
Back
f(x) and g(x) are two different functions that can be combined through operations like addition, subtraction, multiplication, or composition.
Tags
CCSS.HSF-BF.A.1B
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