Answer:
f(6) = - 4 is incorrect.
Step-by-step 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
[tex]\frac{y - 6}{6 - 3} = \frac{x - (- 4)}{- 4 - (- 2)}[/tex]
⇒ -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)
