The average rate of a function f(x) over an interval x = a and x = b is given by:

Given the function

The average rate of change from x = 1 to x = 2 is given by:
That’s the answer if you multiply .
2(4^2 + 1) = 2(16+1) = 2(17) = 34
answer: a. input, output
explanation: this is because the x values can not repeat in a function. if they do, they would not pass the vertical line test, and therefore it would not be a function. so, each input and output must be different values. :)