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Algebra 18 Online
OpenStudy (anonymous):

Two questions! Help please!

OpenStudy (anonymous):

OpenStudy (anonymous):

input a value for x say 2 and see what results you get

OpenStudy (anonymous):

I think it's C.

OpenStudy (anonymous):

I think for the first q you input 0 for x x=0 for each function on the second q you input a very large number at x. To see which is the biggest

OpenStudy (anonymous):

Am I right?

OpenStudy (anonymous):

@iambatman @ganeshie8 @Ashleyisakitty @jim_thompson5910

ganeshie8 (ganeshie8):

C is right for first q

ganeshie8 (ganeshie8):

for the next question, you must be knowing that exponential growth is faster than ANY linear/polynomial growth

ganeshie8 (ganeshie8):

that lets you strike off last two options

ganeshie8 (ganeshie8):

focus on first two options

ganeshie8 (ganeshie8):

which function has greatest "rate" ?

OpenStudy (anonymous):

@ganeshie8 G?

ganeshie8 (ganeshie8):

why

ganeshie8 (ganeshie8):

its rate is just "2" times right ?

ganeshie8 (ganeshie8):

actually "f" has greatest rate : 14

ganeshie8 (ganeshie8):

the stuff under under the exponent decides how fast a function changes in long term

ganeshie8 (ganeshie8):

\[f(x) = 2(\color{red}{14})^x+1\]

ganeshie8 (ganeshie8):

\[g(x) = 30(\color{red}{2})^x+8\]

ganeshie8 (ganeshie8):

since 14 is greater than 2, f wins over g

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