Question

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

Answer 1

@ali2x2 can u help me plz

Answer 2

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

Answer 3

?

Answer 4

okay whats next

Answer 5

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

Answer 6

The same occurs for c.

Answer 7

so B would be wrong

Answer 8

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

Answer 9

same thing happens here

Answer 10

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

Answer 11

A

Answer 12

;)

Answer 13

thx u are a big help

Answer 14

No problem ^^