A tangent is drawn to the graph pf y = x^3 -3x^2 + 6x -5 at its only infection point. The equation of this inflectional tangent is?

A. y = 3x -1

B. y= 3x - 4

C. y= 3x +4

D. y= -4

E. y=3x-2

1 Answer

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  • Tony
    Lv 6
    5 years ago
    Best Answer

    If a graph has an inflection point, the slope changes from + to - at that point. (or vice versa). As such, the slope of a tangent line at that point must be zero.

    NOW, which of those answers are of the form:

    y = 0x + b

    or more commonly

    y = b

    always,

    tony

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