explain how to write a function rule table from the table below. then write a function rule
x 0 2 4 6
y 2 1 0 -1
To write a function rule table, we need to identify the pattern between the values of x and y. Looking at the table, we can see that as x increases by 2, y decreases by 1. Therefore, the function rule can be stated as:
y = -0.5x + 2
To check if this rule works for all values in the table, we can substitute each value of x and compare it to the corresponding value of y:
- when x = 0, y = -0.5(0) + 2 = 2
- when x = 2, y = -0.5(2) + 2 = 1
- when x = 4, y = -0.5(4) + 2 = 0
- when x = 6, y = -0.5(6) + 2 = -1
All values in the table match the function rule, so we can conclude that it is correct.