Answer:
Option A is the correct answer i.e. the required exponential function will be F(x)= 4 x (0.5)^x
Step-by-step explanation:
From the assumption graph as shown in attached figure, we can determine that when x = 0 then y = 4.
Also, we can closely observe that the graph represents decay
exponential function. The reason is that when the value of x
increases, the graph of the particular function decreases.
But, the rate of decay must be less than 1 for decay exponential function because if it is greater than 1, then it would represent the exponential growth function.
Hence, the option B and D should be completely ruled out as these values represent the exponential growth.
And from graph, it is clear that when x = 0 then y = 4
So, option A is the correct answer i.e. the required exponential function will be F(x)= 4 x (0.5)^x
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