What is the rule for this function?

Input: -2, Output: -4
Input: 0, Output: -2
Input: 5, Output: -3

Thank You!! :)

Now-Next minus a negative 2

y = -|x-2|

or

y = -(6/35)x^2 + (23/35)x - 2

To determine the rule for this function, we need to look for a pattern in the input-output pairs. Let's examine the given inputs and outputs:

Input: -2, Output: -4
Input: 0, Output: -2
Input: 5, Output: -3

By observing the pattern, we can see that when the input increases by 1, the output decreases by 2. In other words, the output is always two less than double the input.

Mathematically, we can express the rule as follows:
Output = 2 * Input - 2

So, for any given input, you can find the output by multiplying the input by 2 and then subtracting 2.

For example, if we have an input of 3, we can apply the rule:
Output = 2 * 3 - 2 = 6 - 2 = 4

Therefore, the output for an input of 3 would be 4.