One-to-One & Inverse Functions Practice

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•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a function?
Back
A relation where each input has exactly one output.
2.
FLASHCARD QUESTION
Front
What is a one-to-one function?
Back
A function where each output is associated with exactly one input.
3.
FLASHCARD QUESTION
Front
How can you determine if a relation is a function?
Back
Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.
4.
FLASHCARD QUESTION
Front
What is the inverse of a function?
Back
A relation that reverses the input-output pairs of the original function.
5.
FLASHCARD QUESTION
Front
How do you find the inverse of a function algebraically?
Back
Replace f(x) with y, swap x and y, and solve for y.
6.
FLASHCARD QUESTION
Front
What does reflecting a graph over the line y = x mean?
Back
It means that for every point (a, b) on the graph, there is a corresponding point (b, a) on the reflected graph.
7.
FLASHCARD QUESTION
Front
What is the horizontal line test?
Back
A test to determine if a function is one-to-one; if a horizontal line intersects the graph more than once, it is not one-to-one.
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