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anthonyhaywood
15.07.2019 •
Mathematics
Which relations represent functions
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Ответ:
Figure 1 and 3 represent functions
Further explanationSet A to set B is said to be a function if each member of set A pairs is exactly one member of set B
So, one value of x is only assigned to one value of y
A function can be expressed in the form of a cartesian diagram, sequential pairs, or arrow diagram
If a function (f) pairs members of set A to set B, then the inverse of function f (f-1) pairs members of set B to A, or easily f-1 is the opposite of f
or in the form of equations
f (x) = y if and only if g (y) = x
g (y) is called the inverse of f (x)
We see the options available
From the pictures, we can set A and B
1A = {- 1,0,1,5,7}
B = {-2,4,3,14}
Each member A is paired exactly one with member B, so that it is a function
2A = {x, y}
B = {7,3,5}
There is one member A that is paired with 2 members B, namely (x.5) and (x.7) so that it is not a function
3A = {John, Ted}
B = {52}
Each member A is paired exactly one with member B, so that it is a function
4A = {a, b, c, d}
B = {25,35,45,55}
There is one member A that is paired with 2 members B, namely (a, 25) and (a, 55) so that it is not a function
Learn morethe function has an inverse function
link
the inverse of the function
link
the inverse of a function is always a function
link
link
Ответ:
1. Here for all x there exist only one y such that f(x)=y. That's why this is function.
2. Here f(x)=5 and f(x)=7 (for one x there are two y). This relation doesn't represent a function.
3. Here for all x there exist only one y such that f(x)=y. That's why this is function.
4. Here f(a)=55 and f(a)=25 (for one x there are two y). This relation doesn't represent a function.
Ответ:
There's something called s calculator lol