10-2a-HW-Graphing Cube Root Functions
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
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 x.
2.
FLASHCARD QUESTION
Front
How does the graph of a cube root function behave?
Back
The graph of a cube root function is a curve that passes through the origin (0,0) and extends into the first and third quadrants, increasing slowly.
3.
FLASHCARD QUESTION
Front
What is the domain of the cube root function f(x) = ∛x?
Back
The domain of f(x) = ∛x is all real numbers, (-∞, ∞).
4.
FLASHCARD QUESTION
Front
What is the range of the cube root function f(x) = ∛x?
Back
The range of f(x) = ∛x is also all real numbers, (-∞, ∞).
5.
FLASHCARD QUESTION
Front
How do you identify the graph of a cube root function?
Back
Look for a graph that has a horizontal inflection point at the origin and extends into both the first and third quadrants.
6.
FLASHCARD QUESTION
Front
What is the effect of a vertical stretch on the cube root function?
Back
A vertical stretch of the cube root function f(x) = ∛x can be represented as f(x) = a∛x, where a > 1 makes the graph steeper.
7.
FLASHCARD QUESTION
Front
What is the effect of a vertical compression on the cube root function?
Back
A vertical compression of the cube root function f(x) = ∛x can be represented as f(x) = a∛x, where 0 < a < 1 makes the graph flatter.
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