Suppose a = {a, b,c, d,e, f},and r = {(ae)} state with reasons whether the relation is a function from a to a,(ii) an everywhere defined function (iii) an onto function (iv) a one to one function

(I) Yes

(II) Yes

(III) No

(IV) No

Step-by-step explanation:

(I) The relation is a function from A to A as it satisfies both existence and uniqueness: every element of A (domain) is related to only one element of A (codomain).

(II) The relation is an everywhere defined function as every element of A is related to an element of A.

(III) The relation is not an onto (surjective) function.

Let's recall the definition of an onto function:

An onto function f : A -> B satisfies: .

In this case, . So, the function is not onto.

(IV) The relation is not a one to one (injective) function.

Let's recall the definition of a one to one function:

A one to one function f : A -> B satisfies: .

In this case, both and relate to , so the function is not one to one.

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk

there are no answer choices

step-by-step explanation: