What is the general formula for a quartic function?

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A quartic function is defined as a polynomial function of degree four, meaning the highest power of the variable ( x ) in the function is four. The general form of a quartic function can be expressed as:

[ f(x) = ax^4 + bx^3 + cx^2 + dx + e ]

In this equation, ( a, b, c, d, ) and ( e ) are constants, with ( a ) being non-zero to ensure that the function remains of degree four. Each term corresponds to a specific degree of ( x ), making it clear how the function behaves as the input values change, particularly with respect to the leading term ( ax^4 ) which significantly influences its end behavior and the number of possible real roots.

In contrast, the other expressions given do not represent quartic functions. For example, a function expressed as ( ax^2 + bx + c ) is a quadratic function and thus of degree two, while ( ax^3 + bx^2 + cx + d ) is a cubic function of degree three. The expression ( A=@r^2 ) doesn't correspond to a polynomial function at all, as it uses a different notation that doesn't

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