Question

After placing an equation into his calculator Rob got the following table. He then determine that X=6 when f (x) = -4 is he correct? explain

x | f(x)
——————
-4 | 6
——————
-2 | 3
——————
0 | -1
——————
2 | -4

Answer 1

f(6) = - 4 is incorrect.

Explanation:

In the given table the values of x and corresponding values of f(x) are given.

The ordered pairs are (-4,6), (-2,3), (0,-1) and (2,-4).

Now, we have to determine the function y = f(x) from any two of the given ordered pair.

The equation of the function is

`(y - 6)/(6 - 3) = (x - (- 4))/(- 4 - (- 2))`

⇒ -2(y - 6) = 3(x + 4)

⇒ 2y + 3x = 0 ........... (1)

Now, putting x = 6 in the above equation (1), we get y = - 9

Therefore, f(6) = - 9

Hence, f(6) = - 4 is incorrect. (Answer)