Answer:
Only the given table represents a function. Option 1 is correct.
Step-by-step explanation:
A relation is called a function, if there exist a unique value of y for each value of x. It means for each input there exist a unique output.
A function is always a relation but all relations are not function.
In the given table for each value of x, we have unique value of y, therefore the given table represents a function.
In second relation, at x=-2, the values of y are y=10 and y=-7. For single x, there are more than one value of y, therefore the second relation is not a function.
In third relation, at x=6, the values of y are y=-2 and y=1. For single x, there are more than one value of y, therefore the third relation is not a function.
1)x+30=40
x=40-30
Answer :x=10
2)30-20+2x=10
10+2x=10
2x=0
Answer: x=0
3)3x-10+13=-2x+28
3x+3=-2x+28
3x+2x+3=28
3x+2x=28-3
5x=28-3
5x=25
x=5
4)13x-23-45=-7x+12
13x-68=-7x+12
13x+7x-68=12
13x+7x=12+68
20x=12+68
20x=80
x=4
5)2(x+4)=10x+24
2x+8=10x+24
2x-10x+8=24
2x-10x=24-8
-8x=24-8
-8x=16
x=-2
6)3(x-5)=1-(2x-4)
3x-15=1-(2x-4)
3x-15=1-2x+4
3x-15=5-2x
3x+2x-15=5
3x+2x=5+15
5x=5+15
5x=20
x=4
7)5x-10=15
5x=15+10
5x=25
x=5
8)x+4=x+6
4=6
no solution
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I think it might be D. I'm just giving an educated guess.
For functions, it's solutions.
Multiplication, hope I could help!