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Consider the graph of f(x) below. https://northbranchsd.owschools.com/media/o_advalg_2015/2/img_g_alg02u09c03l20d_03.gif Write the equation of f(x), and classify the function as linear, quadratic, cubic, exponential, or logarithmic.
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the curve cuts the x axis at the points -1,1,3 so it is cubic the equation is (x+1)(x-1)(x-3)=0 i.e (X^2-1)(x-3)=0 i.e. x^3-3x^2-x+3=0
well, any scaled version of that has the same roots ... k(x+1)(x-1)(x-3)=0 is the family of cubics with those roots.
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when x=0 it appears we are at 3 so k=1 is a fair assumption
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