This question has two parts Answer he first part correctly to get the second part Suppose you have a function f x whose average rate of change is always a constant number c That is suppose f x f a x a Rearrange this relationship to get f x alone on one side of the equals sign f x c x a f a c for all inputs a and x OF Part 2 of 2 Note that if we write this as f x cx f a ac then f a ac is just a number Average rate of change Using other symbols we could use m to stand for c and b to stand for f a ac then the relationship can be written f x mx b This is what is known as a linear function Now suppose you have any linear function f x mx b and any two inputs a and x What number do you get for the average rate of change of f x on the interval a x