Question

The functions f(x) and g(x) are shown below:

Answer 1

Answer:

Option A. is the correct option.

Step-by-step explanation:

The two functions are $f(x)=2^{x}$ and g(x) = 2x

If we analyze these functions over the graph we find that function g(x) is an line which intersect $y=2^{x}$ over the two points that means f(x) is exceeding g(x).

In other words if we draw the graph for both the functions with the different values of x, f(x) will have the higher values as compared to g(x).

For x = 0 1  2  3  4

   f(x) = 1  2 4  8 16

  g(x) = 0 2 4  6  8

Option A is the correct option.

Answer 2

Answer is 
A) The graph of f(x) will eventually exceed the graph of g(x).