Question

Which 2 tables represent the same function?

Answer 1

The first and last table.
As the x increases by 2, the y goes down by 1, so both tables have the same rate of change which means they are the same function.

Answer 2

Tables 1 and 5 are equal.

Explanation:

Given are 5 tables in x and y with two values each.

We are to find out which two represent the same function.

As for every function, two points are given.

Let us compare the slopes of each function.

Slope=change in y coordinate/change in x coordinate

Table Slope

I -0.5

2 -0.5

3 -0.5

4 1

5 -0.5

Table 4 is eliminatednow.

Though slopes are the same for 1 and 2,f(4) =8 and 5 different . Hence I and II cannot be the same. Similarly for 2 different values are there in table 3,4,5. Hence 3,4,5 cannot be pairwise equal.

We find that table I and table 5 have the same slope. Also when pairwise taken, (4,8) and (2,9) slope = -0.5

So table I = table 5