Question

Consider the two functions f(x) and g(x), where f(x) = 2x and g(x) is graphed below.

Graph of g(x)


Compare the rate of change of the two functions on the interval 2 ≤ x ≤ 3.

The rate of change of the function g(x) is greater than f(x).
The rate of change of the function f(x) is greater than g(x).
The rate of change of the function f(x) and g(x) are the same.

Answer 1

The slope of the graph is 2 .

So the rate of change of g(x) is 2, just like f(x).

In fact, g(x) is also = 2x, just like f(x) .