Question

Which of the following represent the rule y = x + 2? Input x -3 -2 -1 0 1 Output y -1 0 1 2 3 Input x 3 4 5 6 7 Output y 5 7 9 11 13

Answer 1

Answer: the first set of data:

Input x     -3    -2    -1    0     1
Output y   -1     0     1     2    3

Explanation:

Given functión y = x + 2

Choices:

1)
 Input x     -3    -2    -1    0     1
Output y   -1     0     1     2    3

2)

Input x      3    4    5      6      7
Output y   5    7    9    11    13

Answer:

You just have to use the sets of input values and find the output values with the given function:

The computes are very simple so you can tell the answer at first sight, because the output, y, is 2 units more than the input, x.

The first set of data fits the function because

x = -3 => y = -3 + 2 = -1
x = -2 => y = -2 + 2 = 0
x = -1 => y = -1 + 2 = 1
x = 0 => y = = 0 + 2 = 2
x = 1 => y = 1 + 2 = 3

That proves that the first set of data represents the given rule.

For the second set of data pick x = 4 => x + 2 = 6 but the correspondant y is 7, so that set does not represent the rule y = x + 2

Answer 2

We know that 
the rule is
y=x+2
then 
for x=-3 -------------------> y=-3+2=-1
for x=-2 -------------------> y=-2+2=0
for x=-1 -------------------> y=-1+2=1
for x=0 ------------------->  y=0+2=2
for x=1 ------------------->  y=1+2=3

for x=3 -------------------> y=3+2=5
for x=4 -------------------> y=4+2=6
for x=5 -------------------> y=5+2=7
for x=6 -------------------> y=6+2=8
for x=7 -------------------> y=7+2=9

the answer is 
Input x -3 -2 -1 0 1 Output y -1 0 1 2 3