IM Alg2.2.10 Practice: Multiplicity

Draw a rough sketch of the graph of g(x).
Draw a rough sketch of the graph of f(x).
Predict the end behavior of the polynomial function A(x).
[math]A(x)=(x+3)(x-4)(3x-7)(4x-3)[/math]
Check your prediction.
Predict the end behavior of the polynomial function B(x).
[math]B(x)=(3-x)^2(6-x)[/math]
Check your prediction.
Predict the end behavior of the polynomial function C(x).
[math]C(x)=\text{-}(4-3x)(x^4)[/math]
Check your prediction.
Predict the end behavior of the polynomial function D(x).
[math]D(x)=(6-x)^6[/math]
Check your prediction.
[size=150]Which term can be added to the polynomial expression [math]5x^7-6x^6+4x^4-4x^2[/math] to make it into a 10th degree polynomial?​​[/size]
[size=150][math]f(x)=(x+1)(x-6)[/math] and [math]g(x)=2(x+1)(x-6)[/math]. The graphs of each are shown.[/size][br][img]data:image/png;base64,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[/img][br][br]Which graph represents which polynomial function? Explain how you know.[br]
State the degree and end behavior of [math]f(x)=8x^3+2x^4-5x^2+9.[/math] Explain or show your reasoning in the app below.
[size=150]The graph of a polynomial function is shown.[/size][br][img]data:image/png;base64,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[/img][br]Select [b]all[/b] the true statements about the polynomial.
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Information: IM Alg2.2.10 Practice: Multiplicity