Operations on Functions

Flashcard
•
Mathematics
•
10th Grade
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of function composition?
Back
Function composition is the process of applying one function to the results of another function. If f(x) and g(x) are two functions, then the composition of f and g is denoted as (f ∘ g)(x) = f(g(x)).
Tags
CCSS.HSF-BF.A.1C
2.
FLASHCARD QUESTION
Front
If f(x) = 2x and g(x) = x + 3, what is (f ∘ g)(x)?
Back
(f ∘ g)(x) = f(g(x)) = f(x + 3) = 2(x + 3) = 2x + 6.
Tags
CCSS.HSF-BF.A.1C
3.
FLASHCARD QUESTION
Front
What is the product of two functions?
Back
The product of two functions f(x) and g(x) is defined as (f * g)(x) = f(x) * g(x).
Tags
CCSS.HSF-BF.A.1B
4.
FLASHCARD QUESTION
Front
If f(x) = x - 1 and g(x) = 5x - 2, what is (f * g)(x)?
Back
(f * g)(x) = (x - 1)(5x - 2) = 5x^2 - 7x + 2.
Tags
CCSS.HSF-BF.A.1B
5.
FLASHCARD QUESTION
Front
What is the definition of a polynomial function?
Back
A polynomial function is a function that can be expressed in the form f(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.
6.
FLASHCARD QUESTION
Front
If p(x) = 3x + 4 and q(x) = 2x^2, what is q(p(-2))?
Back
q(p(-2)) = q(3(-2) + 4) = q(-2) = 2(-2)^2 = 8.
Tags
CCSS.HSF-BF.A.1C
7.
FLASHCARD QUESTION
Front
What is the difference between a function and a relation?
Back
A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value).
Tags
CCSS.8.F.A.1
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