Which of the following statements is true? A. Over the interval [0, 2), the average rate of change of fand his less than the average rate of change of g.
B. As x approaches Infinity, the value of g(x) eventually exceeds the values of both f(x) and h(x).
C. Over the interval (3,5), the average rate of change of g and his more than the average rate of change of f.
D. As x approaches Infinity, the values of gx) and (x) eventually exceed the value of RX).

Over the interval [0, 2], the average rate of change of f is greater than that of g. The y-intercept of f is the same as the y-intercept of g.

Step-by-step explanation:

The function i.e mentioned in the question is

Now Placing x = 0, to compute the y-intercept

f(x) y-intercept is -3

As we can see in the given graph the graph of g(x) intersects the y-axis at -3

Therefore the y-intercept of g(x) is -3.

Hence, both functions with respect to the y-intercepts i.e f(x) and g(x) would remain the same

Now At x=2,

So, the value of the function is

The average rate of change of f over the interval [0,2] is

From the mentioned graph as we can see that the graph of g(x) is crossing through the points (0,-3) and (2,12).

The average rate of change of g over the interval [0,2] is

Therefore this is the correct answer but the same is not provided in the given options

5

step-by-step explanation: