## anonymous one year ago 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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1. anonymous

@ali2x2 can u help me plz

2. anonymous

Increasing the value of x, which of these functions will get bigger

3. anonymous

?

4. anonymous

okay whats next

5. anonymous

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

6. anonymous

The same occurs for c.

7. anonymous

so B would be wrong

8. anonymous

With d. we have: $f(x)=0.5(9)^{-x} = 0.5(\frac{1}{9})^x = \frac{0.5}{9^x}$

9. anonymous

same thing happens here

10. anonymous

so, the only one that will increase with x will be...

11. anonymous

A

12. anonymous

;)

13. anonymous

thx u are a big help

14. anonymous

No problem ^^