Mathematics, 23.08.2019 21:10 michellelirett
Supposef: zz is defined by f(x) = 2x^2 + 1. a. explain using the definition of onto functions why the function f is or is not an onto function b. explain using the definition of one-to-one functions why the function f is or is not a 1-1 function
Answers: 2
, the function 
is not onto because not every element in the codomain 
is represented by 
. For any 
, we have 
, so 
, which means there is no choice of 
such that 
.
is not one-to-one because there are infinitely many choices of 
. For example, 
and 
.
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Supposef: zz is defined by f(x) = 2x^2 + 1. a. explain using the definition of onto functions why th...
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