3rd Mid Six Weeks Exam: Inverses and Operations of Functions

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•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
Is the inverse of a function also a function?
Back
Yes, the inverse of a function is also a function if it passes the horizontal line test.
2.
FLASHCARD QUESTION
Front
What is the result of (f + g)(x) if f(x) = 5x^2 and g(x) = 3x?
Back
(f + g)(x) = 5x^2 + 3x.
3.
FLASHCARD QUESTION
Front
How can you determine if two functions are inverses of each other?
Back
Two functions are inverses if (f(g(x)) = x) and (g(f(x)) = x) for all x in the domain.
4.
FLASHCARD QUESTION
Front
Evaluate (g∘f)(3) if f(x) = -2x + 2 and g(x) = 2x^2 + 9.
Back
(g∘f)(3) = 41.
5.
FLASHCARD QUESTION
Front
What is the result of (f - g)(x) if f(x) = 5x^2 and g(x) = 3x?
Back
(f - g)(x) = 5x^2 - 3x.
6.
FLASHCARD QUESTION
Front
What does it mean for a function to be one-to-one?
Back
A function is one-to-one if it never assigns the same value to two different domain elements.
7.
FLASHCARD QUESTION
Front
What is the horizontal line test?
Back
The horizontal line test determines if a function is one-to-one by checking if any horizontal line intersects the graph more than once.
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