Given f: R → R where f(x) = -3x² +7 Is it a function or not? If function, identify whether it is one-to-one but not onto, onto but not one-to-one, a one-to-one correspondence, or neither one-to-one nor onto. Else, select not a function. Answer: function: one-to-one but not onto function: onto but not one-to-one function: one-to-one correspondence function: neither one-to-one nor onto not a function +
Given f: R → R where f(x) = -3x² +7 Is it a function or not? If function, identify whether it is one-to-one but not onto, onto but not one-to-one, a one-to-one correspondence, or neither one-to-one nor onto. Else, select not a function. Answer: function: one-to-one but not onto function: onto but not one-to-one function: one-to-one correspondence function: neither one-to-one nor onto not a function +
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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Transcribed Image Text:Given f: R → R where f(x) = -3x² +7
Is it a function or not? If function, identify whether it is one-to-one but not onto, onto but not one-to-one, a one-to-one
correspondence, or neither one-to-one nor onto. Else, select not a function.
Answer:
function: one-to-one but not onto
function: onto but not one-to-one
function: one-to-one correspondence
function: neither one-to-one nor onto
not a function
+
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