5.6 Radical & Reciprocal Function
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Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a radical function?
Back
A radical function is a function that contains a variable within a radical (square root, cube root, etc.). The general form is f(x) = √(x) or f(x) = n√(x) where n is a positive integer.
2.
FLASHCARD QUESTION
Front
What is a reciprocal function?
Back
A reciprocal function is a function of the form f(x) = 1/x, where x is not equal to zero. It represents the inverse of the variable.
3.
FLASHCARD QUESTION
Front
How does the graph of y = √(x) look?
Back
The graph of y = √(x) is a curve that starts at the origin (0,0) and rises to the right, only existing in the first quadrant.
4.
FLASHCARD QUESTION
Front
What effect does adding a constant to a radical function have?
Back
Adding a constant to a radical function shifts the graph vertically. For example, y = √(x) + 3 shifts the graph up by 3 units.
5.
FLASHCARD QUESTION
Front
What effect does subtracting a constant from a radical function have?
Back
Subtracting a constant from a radical function shifts the graph vertically down. For example, y = √(x) - 2 shifts the graph down by 2 units.
6.
FLASHCARD QUESTION
Front
What does the equation y = √(x - 2) represent?
Back
The equation y = √(x - 2) represents a horizontal shift of the graph of y = √(x) to the right by 2 units.
7.
FLASHCARD QUESTION
Front
What does the equation y = √(x + 3) represent?
Back
The equation y = √(x + 3) represents a horizontal shift of the graph of y = √(x) to the left by 3 units.
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