Radical Functions

Flashcard
•
Mathematics
•
10th Grade
•
Hard
Standards-aligned
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15 questions
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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) = √(g(x)), where g(x) is a polynomial.
2.
FLASHCARD QUESTION
Front
What is the domain of the function f(x) = √(x - 3)?
Back
The domain is x ≥ 3, as the expression under the square root must be non-negative.
3.
FLASHCARD QUESTION
Front
What is the vertex of the function f(x) = √(x + 4) - 2?
Back
The vertex is (-4, -2). This is the point where the graph changes direction.
Tags
CCSS.HSF-IF.C.7B
4.
FLASHCARD QUESTION
Front
Describe the transformation of the function f(x) = √(x) + 3 compared to f(x) = √(x).
Back
The graph of f(x) = √(x) + 3 is shifted up 3 units.
Tags
CCSS.HSF.BF.B.3
5.
FLASHCARD QUESTION
Front
What does the negative sign in f(x) = -√(x) indicate about the graph?
Back
The negative sign reflects the graph over the x-axis.
Tags
CCSS.HSF-IF.C.7B
6.
FLASHCARD QUESTION
Front
How does the function f(x) = √(x - 2) differ from f(x) = √(x)?
Back
The graph of f(x) = √(x - 2) is shifted to the right by 2 units.
Tags
CCSS.HSF-IF.C.7B
7.
FLASHCARD QUESTION
Front
What is the range of the function f(x) = -√(x + 1)?
Back
The range is all real numbers less than or equal to 0, or (-∞, 0].
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