Consider a function f : S→T defined by f(n) = n², where the domain is the set of consecutive integers S = {-7,..., -2, -1, 0, 1, 2, ..., 7} and the range is the set of consecutive squares T = {-64,..., -9,–4, −1, 0, 1, 4, 9, . . . ,64}. Which one of the following choices correct describes f? Oone-to-one, but NOT onto Oonto, but NOT one-to-one O one-to-one and onto Oneither one-to-one nor onto Onone of these

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter11: Nonlinear Programming
Section11.3: Convex And Concave Functions
Problem 13P
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Consider a function f : S→ T defined by f(n) = n², where the domain is the set of consecutive integers
S = {-7,..., -2, -1, 0, 1, 2, ..., 7}
and the range is the set of consecutive squares
T = {-64,...,-9, -4,-1,0, 1, 4, 9, ..., 64}.
Which one of the following choices correct describes f?
O one-to-one, but NOT onto
Oonto, but NOT one-to-one
O one-to-one and onto
O neither one-to-one nor onto
O none of these
Transcribed Image Text:Consider a function f : S→ T defined by f(n) = n², where the domain is the set of consecutive integers S = {-7,..., -2, -1, 0, 1, 2, ..., 7} and the range is the set of consecutive squares T = {-64,...,-9, -4,-1,0, 1, 4, 9, ..., 64}. Which one of the following choices correct describes f? O one-to-one, but NOT onto Oonto, but NOT one-to-one O one-to-one and onto O neither one-to-one nor onto O none of these
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