A2H Midterm Review #2
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of a function?
Back
A function is a relation that assigns exactly one output for each input from its domain.
2.
FLASHCARD QUESTION
Front
What does it mean for a function to be invertible?
Back
A function is invertible if there exists another function that reverses its effect, meaning for every output, there is a unique input.
3.
FLASHCARD QUESTION
Front
How do you find the inverse of a function algebraically?
Back
To find the inverse, replace f(x) with y, swap x and y, and solve for y.
4.
FLASHCARD QUESTION
Front
What is the effect of reflecting a function over the x-axis?
Back
Reflecting a function over the x-axis changes the sign of the output values, resulting in f(x) becoming -f(x).
5.
FLASHCARD QUESTION
Front
What does it mean to vertically shrink a function by a factor of 1/4?
Back
To vertically shrink a function by a factor of 1/4, multiply the output values by 1/4, resulting in f(x) becoming (1/4)f(x).
6.
FLASHCARD QUESTION
Front
What is the transformation of shifting a function left by 9 units?
Back
Shifting a function left by 9 units involves replacing x with (x + 9) in the function's equation.
7.
FLASHCARD QUESTION
Front
What is the general form of a cubic root function?
Back
The general form of a cubic root function is f(x) = ∛(x).
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