Question

Identify the exponential function for this graph

Answer 1

Option: A is the correct answer.

Answer 2

Option: A is the correct answer.

`f(x)=4\cdot (0.5)^x`

Explanation:

Clearly from the graph we could observe that the graph is a decay exponential function as the graph of the function is decreasing with the increasing value of x.

Hence, the rate has to be less than 1.

So, option: B and D are ruled out as they represent a growth exponential function.

Also from the graph given in the question we could observe that when x=0 the value of y is:

y=4

So, the exponential function that is represented by the graph is:

`f(x)=4\cdot (0.5)^x`