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Mathematics 17 Online
OpenStudy (katecc379):

help

OpenStudy (katecc379):

OpenStudy (solomonzelman):

Your take on the problem?

OpenStudy (katecc379):

i believe it is false

OpenStudy (solomonzelman):

Why?

OpenStudy (katecc379):

because of the problem i just did lol im still vry confused

OpenStudy (solomonzelman):

You know what the statement \(\color{red}{{\rm as}~~x\to\infty,~f(x)\to\infty }\) means?

OpenStudy (katecc379):

not really

OpenStudy (solomonzelman):

\(x\to \infty\) Means "as \(x\) approaches "infinity". Or - as \(x\) gets larger and larger (forever). (For example \(x=42031,~~78292023,~~\rm etc.,~on~and~on\))

OpenStudy (solomonzelman):

\(f(x)\to \infty\) Means "\(f(x)\) approaches "infinity"." Or - as \(f(x)\) gets larger and larger (forever). (For example \(f(x)=7789,~~210037892,~~\rm etc.,~on~and~on\))

OpenStudy (katecc379):

so would this one be false?

OpenStudy (solomonzelman):

In other words, the statement \(\color{red}{{\rm as}~~x\to\infty,~f(x)\to\infty }\) reads: (after some point - or - after certain value of x), as x increases the value of f(x) also increases, and this is going to be forever true.

OpenStudy (solomonzelman):

Try to plug values like \(x=2000,~~3000,~~4000,~~5000\) etc. into the function

OpenStudy (emeri_renteria):

its flase

OpenStudy (solomonzelman):

and check whether or not \(f(x)\) is going to keep on increasing as \(x\) increases.

OpenStudy (emeri_renteria):

false

OpenStudy (katecc379):

okay

OpenStudy (katecc379):

how do u do these?

OpenStudy (katecc379):

@SolomonZelman

OpenStudy (solomonzelman):

A polynomial of \(\color{blue}{\rm N}\)th degree has a maximum of \(\color{blue}{\rm N-1}\) turns.

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