Answer:
Option C is correct.
Step-by-step explanation:
An exponential is in the form of :

where
a is the initial value and
b is the growth factor.
If b> 1 , then the graph is increasing.
if 0<b<1, then the graph is decreasing.
Given the function:

we can write this as:

⇒
Here, b = 2 > 1
y-intercept: The graph crosses the y-axis
Substitute x = 0 and solve for f(x):

⇒
⇒
Graph of this function:
We make table for some values of x;
x f(x)
-1 4
0 8
1 16
2 32
Note as x increase, f(x) increases
Now, plot these points on the coordinate plane.
You can see the graph of the given function shown below.