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

Question

asked Apr 8, 2019 193k views

2 Answers

Jolie · Answer 1 · 2019-04-15T03:48:51+0000

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