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tiny-mole [99]
3 years ago
9

The graph below could be the graph of which exponential function?

Mathematics
2 answers:
GrogVix [38]3 years ago
8 0

Answer:

The graph could be a graph of the function:

      Option: B       B. F(x)=2\cdot (0.5)^x

Step-by-step explanation:

We know that for any exponential function of the type:

                            f(x)=ab^x

if b>1 then it represent a exponential growth

and if 0<b<1 then it represent a exponential decay.

Clearly from the graph given to us we could observe that it is a graph of a exponential decay.

Hence 0<b<1

Now we will check for each of the given options:

A)

F(x)=2\cdot (1.6)^x

Now as b=1.6>1

So, this function will represent a exponential growth.

Hence, option: A is incorrect.

C)

F(x)=2\cdot (7)^x

Now as b=7>1

So, this function will represent a exponential growth.

Hence, option: C is incorrect.

D)

F(x)=2^x

Now as b=2>1

So, this function will represent a exponential growth.

Hence, option: D is incorrect.

B)

F(x)=2\cdot (0.5)^x

Now as b=0.5<1 and also 0.5>0

So, this function will represent a exponential decay

             Hence, option: B is correct.

MrMuchimi3 years ago
7 0

Your answer is B F(x) * (0.5)^x

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