M2M4: Inverse + Piecewise

Flashcard
•
Mathematics
•
12th Grade
•
Hard
+3
Standards-aligned
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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) takes x to y, then the inverse function f^(-1)(y) takes y back to x.
Tags
CCSS.HSF-BF.B.4A
2.
FLASHCARD QUESTION
Front
What is the domain of a function?
Back
The domain is the set of all possible input values (x-values) for which the function is defined.
3.
FLASHCARD QUESTION
Front
What is the range of a function?
Back
The range is the set of all possible output values (y-values) that a function can produce.
4.
FLASHCARD QUESTION
Front
How do you write the equation of a line in point-slope form?
Back
The point-slope form of a line is given by f(x) = m(x - x_1) + y_1, where m is the slope and (x_1, y_1) is a point on the line.
5.
FLASHCARD QUESTION
Front
What is piecewise function?
Back
A piecewise function is defined by different expressions based on the input value. It has different rules for different intervals of the domain.
6.
FLASHCARD QUESTION
Front
What does it mean for two functions to be inverses?
Back
Two functions f and g are inverses if f(g(x)) = x and g(f(x)) = x for all x in the domain of f and g.
Tags
CCSS.HSF-BF.B.4B
7.
FLASHCARD QUESTION
Front
How do you determine if two functions are inverses?
Back
To determine if two functions are inverses, check if f(g(x)) = x and g(f(x)) = x for all x in their respective domains.
Tags
CCSS.HSF-BF.B.4B
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