Question

How do you write ordered pairs as a function: (-19,-12), (-12,-5), (-5,2), (2,9), and (9,16)?

Answer 1

`f(x) = x+7`

Explanation:

Notice that both the `x` coordinates and `y` coordinates are in arithmetic sequence:

• `bb(x: ) -19, -12, -5, 2, 9` with common difference `7`

• `bb(y: ) -12, -5, 2, 9, 16` with common difference `7`

Since `y` is increasing at the same rate as `x`, the slope is `1` and we can see that the offset between the values in the two sequences is also `7`.

Hence, in slope intercept form we have:

`y = x+7`

or in function notation:

`f(x) = x+7`

graph{(y-x-7)((x+19)^2+(y+12)^2-0.2)((x+12)^2+(y+5)^2-0.2)((x+5)^2+(y-2)^2-0.2)((x-2)^2+(y-9)^2-0.2)((x-9)^2+(y-16)^2-0.2) = 0 [-39.67, 40.33, -17.12, 22.88]}