Sometimes I encounter with a situation when I need to know the equation of the function from the pictures, what should I do?
2026-04-02 10:04:07.1775124247
what's the equation of these functions , could not find the equation from the picture
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Typical situations of matching curves to equations occur in multiple choice problems. In general, there is no recovering equations from pictures without a lot of additional information, a host of different equations can have similar looking graphs. If we know that the curves are low degree polynomials we can roughly guess the equations by looking at the roots and behavior at infinity. The OP ones could correspond to cubic polynomials, for example, $x^3$ (single degenerate root, positive at infinity) and $x(x−1)(x+1)$ (three simple roots, positive at infinity).