The order pairs (1,1), (2,16), (3,81), (4,256), (5,625) represent A function. What is a rule that represents this function
The rule is y = x^2.
NOPE
look at the third (3, 81)
81 ≠ 3^2
but 3^4 = 81, and 4^4 = 256, and 5^4 = 625
so y = x^4
To find a rule that represents the given function, we need to identify the relationship between the input (x-values) and the output (y-values) in the given pairs.
By observing the given pairs, it appears that the y-value is obtained by raising the corresponding x-value to the power of 4.
Therefore, the rule that represents this function is:
y = x^4
In other words, the function takes an input value (x) and outputs the value obtained by raising that input value to the power of 4.