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Mathematics 12 Online
Shadow:

When to bounce...

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\[f(x) = x^4 - 4x^3 + 3x^2\]

Shadow:

For x intercept 0, how do you know to bounce up/down

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Factored form: \[f(x) = x^2(x - 3)(x - 1)\] x ints: 0, 3, 1 y int: 0

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This is for graphing

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@Vocaloid

Vocaloid:

the multiplicity (2) tells us that the graph "bounces" at x = 0

Vocaloid:

for even multiplicities x^2, x^4, etc. the graph will bounce and for odd multiplicities the graph will cross through the intercept

Shadow:

|dw:1512509288555:dw|

Vocaloid:

good, well done

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