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When to bounce...
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\[f(x) = x^4 - 4x^3 + 3x^2\]
For x intercept 0, how do you know to bounce up/down
Factored form: \[f(x) = x^2(x - 3)(x - 1)\] x ints: 0, 3, 1 y int: 0
This is for graphing
@Vocaloid
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the multiplicity (2) tells us that the graph "bounces" at x = 0
for even multiplicities x^2, x^4, etc. the graph will bounce and for odd multiplicities the graph will cross through the intercept
|dw:1512509288555:dw|
good, well done
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