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Which of the following options results in a graph that shows exponential growth?

f(x) = 0.4(0.2)x

f(x) = 4(0.98)x

f(x) = 0.7(5)x

f(x) = 5(4)−x

Verified Answer :

isyllus

Answer:

\(f(x)=0.7(5)^x\)

Step-by-step explanation:

\(\text{Exponential function: }y=a\cdot b^x\)

It is two types of function.

  • Exponential Growth: If function increase as value of x increase.

In this case, a>0 and b>1

  • Exponential decay: If function decrease as value of x increase.

In this case, a>0 and 0<b<1

We need to choose exponential growth function.

\(\text{Exponential Growth function: }f(x)=0.7(5)^x\)

Here a=0.75>0 and b=5>1

Therefore, This function is exponential growth.

jjhhkk818

Answer:

I took the test, the answer is C

Step-by-step explanation:

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