#sketching cubic graphs help

24 messages · Page 1 of 1 (latest)

granite ingot
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how would i sketch f. so far ive found out the roots are just 1 and the y intercept is just 1. it doesnt work if i draw the graph though because it will intersect in the negative side of the x axis, even though there shouldnt be a second root

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the sketch only works if i draw the cubic negatively but its not a negative cubic

wanton fiber
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Shouldnt X=0 also be a root

stark pawn
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X=0 is also a root

stark pawn
wanton fiber
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And X=1 is a repeated root, so the curve touches it, then goes back without crossing it

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And y intercept is 0 I swear

stark pawn
wanton fiber
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So it goes up through the origin, then curves down and touches (1, 0), then curves back up without crossing the X axis

granite ingot
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Hi

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oh okayyy thank you

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yh i was seeing pics on google intersecting thru the origin i see why now

wanton fiber
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Idk how in depth it wants it - if it also wants you to label turning points, you need to use differentiation, idk whether the question wants that too

granite ingot
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oh no they said not to worry abt turning points for now

wanton fiber
wanton fiber
granite ingot
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oh yea desmos graph ty i’ll do that next time

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whered u get the y intercept from tjo

wanton fiber
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The independent term (i.e. the thing that doesn't have an X)

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Think about it this way - at the y intercept, X = 0, so if you substitute 0 into X, then all of the X cubed, X squared, X on its own, etc. Go away and you're left with y = _, and that _ is the y intercept

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So here there's no independent term, and you get y = 0

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If it were ((x-1)^2)X + 5, then the y intercept is (0, 5)

granite ingot
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ohh!!

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yess