Unit1 Test - Functions (General Mathematics 11)

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•
Mathematics
•
KG
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a function in mathematics?
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
How do you determine if a relation is a function?
Back
A relation is a function if every input has exactly one output. This can be checked using the vertical line test on a graph.
3.
FLASHCARD QUESTION
Front
What is the difference between (f + g)(x) and (f - g)(x)?
Back
(f + g)(x) is the sum of the functions f and g evaluated at x, while (f - g)(x) is the difference of the functions f and g evaluated at x.
4.
FLASHCARD QUESTION
Front
How do you find (f ⋅ g)(x)?
Back
To find (f ⋅ g)(x), multiply the outputs of the functions f and g for the same input x.
5.
FLASHCARD QUESTION
Front
What does it mean to compose functions, such as g(f(x))?
Back
Composing functions means applying one function to the result of another function. g(f(x)) means you first apply f to x, then apply g to the result.
6.
FLASHCARD QUESTION
Front
What is the formula for the difference of two functions, (f - g)(x)?
Back
The formula for the difference of two functions is (f - g)(x) = f(x) - g(x).
7.
FLASHCARD QUESTION
Front
What is the formula for the product of two functions, (f ⋅ g)(x)?
Back
The formula for the product of two functions is (f ⋅ g)(x) = f(x) * g(x).
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