Which of the following options results in a graph that shows exponential growth? A.f(x) = 0.4(3)x B.f(x) = 3(0.5)x C.f(x) = 0.8(0.9)x D.f(x) = 0.9(5)−x

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Which of the following options results in a graph that shows exponential growth? A.f(x) = 0.4(3)x B.f(x) = 3(0.5)x C.f(x) = 0.8(0.9)x D.f(x) = 0.9(5)−x

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@ali2x2 can u help me plz
Increasing the value of x, which of these functions will get bigger
?

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Other answers:

okay whats next
let's check b., \[f(x)=3(0.5)^x\], that is the same as: \[f(x)=3(\frac{1}{2})^x = \frac{3}{2^x}\] so if we increase the value of x, f(x) will became each time smaller till it reaches near zero as x goes to infinity
The same occurs for c.
so B would be wrong
With d. we have: \[f(x)=0.5(9)^{-x} = 0.5(\frac{1}{9})^x = \frac{0.5}{9^x}\]
same thing happens here
so, the only one that will increase with x will be...
A
;)
thx u are a big help
No problem ^^

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