Please help me find the process or fuction rule if input numbers are 1;2;3;4 and output numbers are 4;8;16;32. Please help me
Obviously the input numbers increase by 1 each time. The output numbers are doubled each time.
1 ---> 4 = 2^2
2 ---> 8 = 2^3
3 ---> 16 = 2^4
4 ---> 32 = 2^5
mmmhhh, look at the exponent of 2 and compare it to your input value.
isn't it always one greater ?
so .....
Reiny's answer makes more sense than mine.
To find the process or function rule that relates the input numbers to the output numbers, we can observe the pattern and look for a common relationship.
By looking at the input numbers (1, 2, 3, 4) and the output numbers (4, 8, 16, 32), we can notice that the output numbers are all multiples of 2 raised to the power of the corresponding input number.
In other words, the output number is obtained by taking 2 raised to the power of the input number. This can be summarized by the following function rule:
Output = 2^(Input)
For example, when the input is 1, the output is 2^1 = 2. When the input is 2, the output is 2^2 = 4. And so on.
Therefore, for the given input numbers (1, 2, 3, 4), the function rule that relates them to the output numbers (4, 8, 16, 32) is:
Output = 2^(Input)