Or
-5. 1
-8. -2
-7. -1

Table 3 is the values for y = x – 6.

Solution:

Given function:

y = x – 6

To find which is a table value for the function:

y = x – 6

Substitute x = –5 in the function.

y = –5 – 6

y = –11

But in table 1, y = 1 when x = –5.

So, table 1 is not the values of the function.

Now, substitute x = –8.

y = –8 – 6

y = –14

But in table 2, y = –2 when x = –8.

So, table 2 is not the values of the function.

Now, substitute x = –7 in the function.

y = –7 – 6

y = –13

So, when x = –5, y = –11

when x = –8, y = –14

when x = –7, y = –13

It is in the table 3.

Therefore, table 3 is the values for y = x – 6.

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50