Answer: Option A.
Step-by-step explanation:
Let's analize each option:
Option A: Observe in the graph of g(x) that when x increases the value of y decreases. For example, when and when However in the table of f(x) you can observe that the value of y increases when the value of x increases. For example, when and when
Therefore, this statement is correct.
Option B: False. Because the y-intercept of functions are equal:
Option C: False. You can observe in the graph that the function g(x) does not have x-intercept.
Option D: False. The average rate of change of the function f(x) is:
The average rate of change of the function g(x) is: