Chapter 7.7 Inverse Functions 2024

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Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is an inverse function?
Back
An inverse function reverses the operation of the original function. If f(x) = y, then the inverse function f⁻¹(y) = x.
2.
FLASHCARD QUESTION
Front
How do you find the inverse of a function algebraically?
Back
To find the inverse of a function, swap the x and y in the equation and solve for y.
3.
FLASHCARD QUESTION
Front
What is the relationship between a function and its inverse?
Back
The graph of a function and its inverse are reflections of each other across the line y = x.
4.
FLASHCARD QUESTION
Front
What is the sine function?
Back
The sine function, sin(θ), is a trigonometric function that represents the ratio of the length of the opposite side to the hypotenuse in a right triangle.
5.
FLASHCARD QUESTION
Front
What is the range of the sine function?
Back
The range of the sine function is [-1, 1].
6.
FLASHCARD QUESTION
Front
What is the purpose of the inverse sine function (sin⁻¹)?
Back
The inverse sine function is used to find the angle whose sine is a given value.
7.
FLASHCARD QUESTION
Front
How do you calculate sin⁻¹(x)?
Back
To calculate sin⁻¹(x), use a calculator or trigonometric tables to find the angle whose sine is x.
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