Questions: The function represented by the graph is

Solution Steps

The graph is a curve that passes through the origin (0,0) and has a general cubic shape. It increases as x increases, suggesting a positive leading coefficient. The curve also appears to have roots (x-intercepts) at x=0 and approximately x=-4.

Since the graph is not symmetric about the y-axis or the origin, the function is neither even nor odd. The shape suggests it is a cubic function.

A possible equation of the form $f(x) = ax^3 + bx^2 + cx + d$ can be formulated. Given the root at x=0, the constant term 'd' must be 0. Considering a root near x=-4 suggests a factor of (x+4). The behavior near the origin and the overall shape further suggest that the function could be similar to f(x) = x(x+4)x = x^2(x+4) = x^3+4x^2.

Final Answer