Question

What is the rule for the function shown in the table?

Input x -2 -1 0 1 2
Output y -8 -5 -2 1 4

1. y = 2x – 2
2. y = x – 6
3. y = 4x
4. y = 3x - 2

Answer 1

Answer:

The correct option is 4.

Step-by-step explanation:

From the given table it is noticed that the function is passing through the points (-2,-8), (-1,-5), (0,-2), (1,-2) and (2,4).

If a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The equation of line is

$y-(-8)=\frac{-5-(-8)}{-1-(-2)}(x-(-2))$

$y+8=3(x+2)$

$y+8=3x+6$

Subtract 8 form both the sides.

$y=3x+6-8$

$y=3x-2$

Therefore option 4 is correct.