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Let X=[-1,1] and Y=[0,1], and define the function f:X-->Y by f(x)=x^2. Which of the following is NOT equal to the range of f: the set f(x) O the set X O the image of Y the image of X O the set Y

Let X=[-1,1] and Y=[0,1], and define the function f:X-->Y by f(x)=x^2. Which of the following is NOT equal to the range of f: the set f(x) O the set X O the image of Y the image of X O the set Y

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let \( X = [-1, 1] \) and \( Y = [0, 1] \), and define the function \( f: X \rightarrow Y \) by \( f(x) = x^2 \). Which of the following is NOT equal to the range of \( f \): - \( \bigcirc \) the set \( f(X) \) - \( \bigcirc \) the set \( X \) - \( \bigcirc \) the image of \( Y \) - \( \bigcirc \) the image of \( X \) - \( \bigcirc \) the set \( Y \) The option "the set \( f(X) \)" is marked with a red cross, indicating that it is the incorrect choice.
Transcribed Image Text:Let \( X = [-1, 1] \) and \( Y = [0, 1] \), and define the function \( f: X \rightarrow Y \) by \( f(x) = x^2 \). Which of the following is NOT equal to the range of \( f \): - \( \bigcirc \) the set \( f(X) \) - \( \bigcirc \) the set \( X \) - \( \bigcirc \) the image of \( Y \) - \( \bigcirc \) the image of \( X \) - \( \bigcirc \) the set \( Y \) The option "the set \( f(X) \)" is marked with a red cross, indicating that it is the incorrect choice.
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