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Graphing Radical Functions Flashcards

Created by

@SnappyPiccoloTrumpet

Questions and Answers

What is the domain of the function $y=2[x-6$?

What is the domain of the function $y=3[x$?

Which of the following is the graph of $y=-4[x$?

Graph D down in IV (correct)

Graph A

Graph C

Graph B

What is the range of the function $y=3[x+8$?

a Signup and view all the answers

What is the domain of the function $y=3[x-1$?

a Signup and view all the answers

What is the range of the function $y=[x+5$?

b Signup and view all the answers

Which statement best describes $f(x)=-2[x-7+1$?

-6 is not in the domain of f(x) but is in the range of f(x). Signup and view all the answers

Which function has the same domain as $y=2[x$?

a Signup and view all the answers

Which function has the same range as $f(x)=-2[x-3+8$?

c Signup and view all the answers

How does the graph of $y=[x+2$ compare to the graph of the parent square root function?

c Signup and view all the answers

Study Notes

Graphing Radical Functions Study Notes

Domain of y=2√[x-6: x must be greater than or equal to 6.
Domain of y=3√[x: x must be greater than or equal to 0.
Graph of y=-4√[x: Represents a downward-opening graph located in the fourth quadrant.
Range of y=3√[x+8: All real numbers starting from 3, extending to positive infinity.
Domain of y=3√[x-1: x must be greater than or equal to 1.
Range of y=√[x+5: Starts from √5 and extends to positive infinity.
Description of f(x)=-2√[x-7]+1: -6 is excluded from the domain but included in the range.
Function with the same domain as y=2√[x: Must have x greater than or equal to 0.
Function with the same range as f(x)=-2√[x-3]+8: Must yield values starting from 8 extending to negative infinity.
Comparison of y=√[x+2 to parent square root function: Represents a vertical shift of 2 units upwards from the parent function.

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Description

Test your knowledge with these flashcards on graphing radical functions. Each card presents a question about domains, ranges, and graph characteristics of various radical functions. Perfect for students looking to reinforce their understanding of this important mathematical concept.