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

Answer 1

I took the test, the answer is C

Explanation:

Answer 2

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

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.