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Mathematics 16 Online
OpenStudy (anonymous):

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OpenStudy (anonymous):

OpenStudy (theeric):

Hi! So, can you get any clues from the equation \(f(x)=2^x +2\)?

OpenStudy (anonymous):

So it could be either c or d right?

OpenStudy (theeric):

Actually, the \(y\)-intercept is where \(x=0\), and \(f(2)=~2^0+2~=~1+2~=~3\)

OpenStudy (anonymous):

For another assignment I had yeah, we get ordered pairs on them right?

OpenStudy (theeric):

:)

OpenStudy (anonymous):

Oh that just confused me

OpenStudy (theeric):

Np! Probably just looked at it too fast or something :)

OpenStudy (anonymous):

Ha nice pun...

OpenStudy (theeric):

Isn't quadratic something like \(x^2+2x+1\)? I'm not great with math terms, but I thought that's what that was..

OpenStudy (anonymous):

as long as it has that x^2 its quadratic if its x^3 +3=0 its cubic in standard form it would look like x^3 + 0y +3= 0

OpenStudy (anonymous):

Where would you get the y^2 from?

OpenStudy (anonymous):

its multiplied by 0 you get nothing

OpenStudy (anonymous):

Oh, okay, is it okay to discard it since it = 0?

OpenStudy (theeric):

Here's the thing for your problem. Do you know what it means to have a negative exponent?

OpenStudy (anonymous):

if you put it in standard form that is THIS IS NOT YOUR PROBLEM ITS AN EXAMPLE !!!!!!! example of a cubic with 2 terms x^3 + 3 = 0 x^3 +0y^+ 2 +3=0 ( hope i did this correctly because i feel pressure on me)

OpenStudy (anonymous):

scratch the 2

OpenStudy (theeric):

Haha, no pressure @iforgot !

OpenStudy (anonymous):

its a y^2

OpenStudy (theeric):

Thanks for explaining that - I think I remember that :)

OpenStudy (unklerhaukus):

so theEric, has shown \[f(0)=2^0+2=1+2=3\] so the coordinate of the y-intercept is (0,3) another point you can find on the line \[f(x)=2^x+2\]is when x=1, ie (1,?) \[f(1)=2^1+2=2+2=?\]

OpenStudy (anonymous):

Lots and lots of pressure. Negative exponent = the graph goes negative as well? Also, wouldnt you add the 2 and 3 on the equation?

OpenStudy (anonymous):

Oh okay

OpenStudy (anonymous):

if super smart people are typing for so long i think i am doing something wrong

OpenStudy (anonymous):

Lol, hes back! Pressure. But, from what theEric said about negative exponents wouldnt it be d?

OpenStudy (theeric):

So UnkleRhaukus helped you by finding the coordinates at two points, and there is only one graph that actually has those coordinates! Did you see that @Athentsu ?

OpenStudy (theeric):

And it's just like @iforgot 's idea of making a table of values! So you know, a negative exponent just puts the number into the denominator. \(5^{(-2)}=\dfrac{1}{5^2}\)

OpenStudy (theeric):

Are you confident in the answer yet?

OpenStudy (anonymous):

Yeah, now i am. Im sure its the last one

OpenStudy (theeric):

And I agree! :) Congrats!!

OpenStudy (anonymous):

Thanks! You were all a great help.

OpenStudy (theeric):

:)

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