Question

Given the input in the table which function rule produces the output?

Answer 1

Try this option:
4*4+2=18; 5*4+2=22; 7*4+2=30; 8*4+2=34
Answer: y=4x+2

Answer 2

Answer: b)
`f(x)=4x+2`

Explanation:

The given table :-

Input 4 5 7 8

Output 18 22 30 34

Let's check all the options

a)
`f(x)=5x-2`

At x= 4,
`f(4)=5(4)-2=18`

At x= 5 ,
`f(5)=5(5)-2=25-2=23\\eq22` , thus it not the correct function.

b)
`f(x)=4x+2`

At x= 4 ,
`f(4)=4(4)+2=18`

At x= 5 ,
`f(5)=4(5)+2=22`

At x= 7 ,
`f(7)=4(7)+2=30`

At x= 8 ,
`f(8)=4(8)+2=34` , thus it is the function rule that produces the output.

c)
`f(x)=3x+6`

At x= 4 ,
`f(4)=3(4)+6=18`

At x= 5 ,
`f(5)=3(5)+6=21\\eq22` , thus it not the correct function.

d)
`f(x)=2x+10`

At x= 4 ,
`f(4)=2(4)+10=18`

At x= 5 ,
`f(5)=2(5)+10=20\\eq22` , thus it not the correct function.

Hence, the correct function rule that produces the output = b)
`f(x)=4x+2`