# 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

2 answers

###### Question:

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

f(x) = 0.4(0.2)x

f(x) = 4(0.98)x

f(x) = 0.7(5)x

f(x) = 5(4)−x

## Answers

Answer:[tex]f(x)=0.7(5)^x[/tex]Step-by-step explanation:[tex]\text{Exponential function: }y=a\cdot b^x[/tex]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. [tex]\text{Exponential Growth function: }f(x)=0.7(5)^x[/tex]Here a=0.75>0 and b=5>1 Therefore, This function is exponential growth.

Answer:I took the test, the answer is CStep-by-step explanation:

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