i have a problem figureing out this question do you have any help? need to find the input and output of these numbers input 2 & output 9, input0 & output7, input-9 & output-2, input-20 & output-8 nothing seems to work. help me please
Except for the last one, the output is the input plus 7. I can't think of a simple rule that would apply to all four. One could write a y(x) polynomial that would go through all points. I am confused about what you mean by input-output. Are you looking for a function y = f(x)?
Of course, I'd be happy to help you figure out the input and output numbers. To find the pattern or rule relating the input and output numbers, let's analyze the given examples.
Example 1: input 2 & output 9
Example 2: input 0 & output 7
Example 3: input -9 & output -2
Example 4: input -20 & output -8
To start, let's find the difference between the input and output for each example:
Example 1: 9 - 2 = 7
Example 2: 7 - 0 = 7
Example 3: -2 - (-9) = 7
Example 4: -8 - (-20) = 12
By examining the differences, we can see that they are all equal to 7, except for the last example, where the difference is 12. This means that the pattern is not consistent.
Let's try looking at the relationship between the input and output differently. We can see that for each example, the output is obtained by adding a specific value to the input.
Example 1: 2 + 7 = 9
Example 2: 0 + 7 = 7
Example 3: -9 + 7 = -2
Example 4: -20 + 12 = -8
By analyzing the above calculations, it seems that the pattern is to add 7 to the input to obtain the output in the first three examples. However, in the fourth example, it deviates from this pattern, so we need to examine it further.
Let's calculate the difference between the input and output for the fourth example:
-8 - (-20) = 12
From this calculation, it seems that the pattern in the fourth example is to add 12 to the input to obtain the output.
So, based on the analysis:
- The general rule for the first three examples is to add 7 to the input to get the output.
- For the fourth example, you should add 12 to the input to get the output.
To summarize:
- For input 2, the output is 2 + 7 = 9.
- For input 0, the output is 0 + 7 = 7.
- For input -9, the output is -9 + 7 = -2.
- For input -20, the output is -20 + 12 = -8.
I hope this explanation helps you understand the pattern and how to find the input and output numbers.