Graphing Radical Functions
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the domain of a radical function?
Back
The domain of a radical function is the set of all input values (x) for which the function is defined, typically where the expression under the radical is non-negative.
2.
FLASHCARD QUESTION
Front
What is the range of the function y = √(x)?
Back
The range of the function y = √(x) is [0, ∞), meaning it includes all real numbers greater than or equal to 0.
3.
FLASHCARD QUESTION
Front
How does the graph of y = -√(x) differ from y = √(x)?
Back
The graph of y = -√(x) is a reflection of the graph of y = √(x) across the x-axis.
Tags
CCSS.HSF-IF.C.7B
4.
FLASHCARD QUESTION
Front
What effect does adding a constant outside the radical have on the graph?
Back
Adding a constant outside the radical shifts the graph vertically. For example, y = √(x) + 2 shifts the graph up by 2 units.
Tags
CCSS.HSF-IF.C.7B
5.
FLASHCARD QUESTION
Front
What effect does adding a constant inside the radical have on the graph?
Back
Adding a constant inside the radical shifts the graph horizontally. For example, y = √(x + 3) shifts the graph left by 3 units.
Tags
CCSS.HSF-IF.C.7B
6.
FLASHCARD QUESTION
Front
What is the domain of the function y = √(x - 1)?
Back
The domain of the function y = √(x - 1) is x ≥ 1.
7.
FLASHCARD QUESTION
Front
What is the range of the function y = -√(x + 1)?
Back
The range of the function y = -√(x + 1) is (-∞, 0], meaning it includes all real numbers less than or equal to 0.
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