Question

X f(x) = 2x + 5

1 7
2 9
3 11
4 13
5 15
6 17

Linear functions grow by equal differences over equal intervals. In the table above, what column could be added to prove this relationship?

Answer 1

19

Explanation:

Given is a funciton

`f(x) = 2x+5`

The table shows x values as 1,2,3...6

f(x) values as 7,9,11...17

Since f(x) is linear there is a constant slope

Slope =2

This shows that for a unit change in x, there is a 2 increase in f(x)

By this property, we get when 6 increases to 7, 17 will change to 19

i.e. 2 will be added to 17 to get next table value.