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Question

Input (x) Output (y)
32 20
14 2
? −6
−2 −14
−10 ?
Complete the function table and write the function rule.

Answer 1

To find the missing output values, we need to determine the pattern or rule that relates the input to the output. Let's look at the differences between pairs of input-output values:

- When we add 18 to 14, we get 32, so the difference between 14 and 32 is 18. Similarly, the difference between 2 and 20 is also 18.
- When we subtract 6 from 2, we get -4, so the difference between 2 and -6 is -8.
- When we subtract -14 from -2, we get 12, so the difference between -2 and -10 is 12.

Therefore, the rule that relates x to y is:

y = 10x/11 - 28/11

Using this rule, we can verify that the missing output values are:

- When x = 8, y = 2
- When x = -10, y = -14

Answer 2

AAAaannndd the bot gets it wrong yet again!
All that mumbo jumbo is just nonsense!

sure looks to me like y = x-12

Answer 3

I apologize for the mistake in my previous response. You are correct, the pattern in the given input-output pairs indicates that the function rule is:

y = x - 12

Using this rule, we can verify that the missing output values are:

- When x = 6, y = -6
- When x = -10, y = -22

I apologize for any confusion caused by my earlier response.