Graphing Cube Root Functions

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•
Mathematics
•
9th - 11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a cube root function?
Back
A cube root function is a function of the form f(x) = ∛(x), which returns the number that, when cubed, gives the input value x.
2.
FLASHCARD QUESTION
Front
What is the general form of a cube root function?
Back
The general form is f(x) = a ∛(x - h) + k, where (h, k) is the center point of the graph.
3.
FLASHCARD QUESTION
Front
What does the parameter 'a' in the cube root function affect?
Back
The parameter 'a' affects the vertical stretch or compression and the direction of the graph (upward if a > 0, downward if a < 0).
4.
FLASHCARD QUESTION
Front
How do you find the center point of a cube root function?
Back
The center point (h, k) can be found from the function's equation in the form f(x) = a ∛(x - h) + k.
5.
FLASHCARD QUESTION
Front
What is the domain of a cube root function?
Back
The domain of a cube root function is all real numbers, (-∞, ∞).
6.
FLASHCARD QUESTION
Front
What is the range of a cube root function?
Back
The range of a cube root function is also all real numbers, (-∞, ∞).
7.
FLASHCARD QUESTION
Front
How does the graph of a cube root function behave as x approaches infinity?
Back
As x approaches infinity, f(x) approaches infinity, indicating that the graph rises to the right.
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