maddyjones4172
28.12.2019 •
Mathematics
The tables below show the values of y corresponding to different values of x:
table a
x
3 2 1
y
1 0 0
table b
x
3 5 5
y
−2 1 2
which statement is true for the tables?
both table a and table b represent functions.
both table a and table b do not represent functions.
table a does not represent a function, but table b represents a function.
table a represents a function, but table b does not represent a function.
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Ответ:
Why?
Table to be a function, need to satisfy following conditions (look at the .jpeg image attached with this answer):
1. condition: In first circle, EVERY element has to be connected with SOME of the elements in second circle
2. condition: In first circle, there MUSTN'T be an element that has MORE THAN ONE connection with elements in second circle
-----------------------------------------------------------------------------
Table A satisfies BOTH of these conditions; that is why table A is indeed a function.
Table B satisfies FIRST condition but it does not satisfy the SECOND condition, that is why it is NOT a function.
Ответ:
Solution:
A function or mapping is defined as set of ordered pairs(x,y) such that for different x values there will be different y values or vice versa.for example , x= y +2 is a function,because for different y we will get different x and for no two different , y values we get a unique x value. For two different y's we get two different x, then we can call it a function.
Table A
X Y
3 1
2 0
1 0
As, each element of X is associated with unique element of Y, so this is a function.
Table B
X Y
3 -2
5 1
5 2
Two same elements of X that is 5 has different images that is 1 as well as 2 . So this is not a function.
Option (4) →Table A represents a function, but Table B does not represent a function.
Ответ:
its c. okay good luck on your homework okay
Step-by-step explanation: