QUESTION 7 Match the following properties of the function with their definitions. Function f is a one-to-one function if and only iff is one-to-one and onto at the А. same time. Function f is an onto function If and only if f(a) = f\b) implies that a = b for Function f is a one-to-one correspondence В. all a and b in the domain of f. if and only if for every element b in the C. codomain there is an element a in the domain, such that b = f(a). Function f is injective Function f is surjective %3D

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Chapter2: Second-order Linear Odes
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Discrete Math

QUESTION 7
Match the following properties of the function with their definitions.
Function f is a one-to-one function
if and only if f is one-to-one and onto at the
A.
same time.
• Function f is an onto function
If and only if f(a) = f(b) implies that a = b for
В.
Function f is a one-to-one
correspondence
all a and b in the domain of f.
if and only if for every element b in the
C. codomain there is an element a in the
domain, such that b = f(a).
Function f is injective
Function f is surjective
%3D
-
Transcribed Image Text:QUESTION 7 Match the following properties of the function with their definitions. Function f is a one-to-one function if and only if f is one-to-one and onto at the A. same time. • Function f is an onto function If and only if f(a) = f(b) implies that a = b for В. Function f is a one-to-one correspondence all a and b in the domain of f. if and only if for every element b in the C. codomain there is an element a in the domain, such that b = f(a). Function f is injective Function f is surjective %3D -
QUESTION 6
Which of the following is a definition of the one-to-one function?
Select ALL that applies.
f(a)=f(b) implies that a=b, for all a,b in the domain of f.
f(a)=f(b) whenever a +b, for all a, b in the domain of f
The function is injective and surjective at the same time.
If codomain of the function f equal to the rang of f.
Transcribed Image Text:QUESTION 6 Which of the following is a definition of the one-to-one function? Select ALL that applies. f(a)=f(b) implies that a=b, for all a,b in the domain of f. f(a)=f(b) whenever a +b, for all a, b in the domain of f The function is injective and surjective at the same time. If codomain of the function f equal to the rang of f.
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