write a function rule for the input-output table
input X 0 1 2 3
output Y 5 4 3 2
output=5 minus input ?
input 32578hem
To write a function rule for the given input-output table, we need to identify the relationship between the input (X) and the output (Y).
Looking at the table, we observe that as the input value (X) increases by 1, the output value (Y) decreases by 1. This pattern suggests that there is a constant subtraction happening between the input and output values.
To express this relationship as a function rule, we can use the equation Y = a - X, where 'a' represents a constant value that we need to determine.
To find the value of 'a', we can substitute one of the input-output pairs into the equation. Let's use the first pair, X = 0, and Y = 5:
5 = a - 0
Simplifying the equation, we find:
a = 5
Therefore, the function rule for the given input-output table is:
Y = 5 - X