The following sets of ordered pairs are functions. Give a
rule that could describe each function.
A.{(5,3),(7,5),(11,9),(14,12)}
B. {(2,5),(3,10),(14,7),(5,26)}
first one:
clearly y = x-2
for the second, I have a feeling you have a typo for the 3rd ordered pair and meant to type (4,17)
If so , it could be
y = x^2 + 1
To find a rule that describes each function, we need to look for a pattern between the input (x-value) and the output (y-value) in each set of ordered pairs.
A. {(5,3),(7,5),(11,9),(14,12)}
By examining the given set, we can observe that for each input x, the output y is obtained by adding 2 to x. So, the rule for function A could be described as y = x + 2.
B. {(2,5),(3,10),(14,7),(5,26)}
Looking at this set, we can notice that the output y is obtained by multiplying the input x by 5 and then subtracting 5. Therefore, the rule for function B could be described as y = 5x - 5.
By applying these rules, we can generate the missing pairs in each set and verify if the rule accurately represents the function.