Graphing Square Root and Cube Root Functions

Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the square root function?
Back
The square root function is defined as f(x) = √(x), which returns the non-negative value whose square is x. The domain is x ≥ 0.
2.
FLASHCARD QUESTION
Front
What is the cube root function?
Back
The cube root function is defined as f(x) = ∛(x), which returns the value whose cube is x. The domain is all real numbers.
3.
FLASHCARD QUESTION
Front
How do you find the domain of a square root function?
Back
The domain of a square root function f(x) = √(x - a) is x ≥ a, meaning the expression inside the square root must be non-negative.
4.
FLASHCARD QUESTION
Front
How do you find the domain of a cube root function?
Back
The domain of a cube root function f(x) = ∛(x - a) is all real numbers, as cube roots are defined for all x.
5.
FLASHCARD QUESTION
Front
What does the transformation g(x - 4) + 2 represent?
Back
This transformation shifts the graph of g(x) to the right by 4 units and up by 2 units.
6.
FLASHCARD QUESTION
Front
What is the effect of a negative sign in front of a square root function?
Back
A negative sign in front of a square root function, such as f(x) = -√(x), reflects the graph across the x-axis.
7.
FLASHCARD QUESTION
Front
What is the effect of adding a constant to a square root function?
Back
Adding a constant to a square root function, such as f(x) = √(x) + k, shifts the graph vertically by k units.
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