SAT Mathematics Practice Test 3

A zero of a function corresponds to an x-intercept of the graph of the function in the xy-plane. Therefore, the complete graph of the function f, which has five distinct zeros, must have five x-intercepts.
Only the graph in choice D has five x-intercepts, and therefore, this is the only one of the given graphs that could be the complete graph of f in the $\mathit{x}\mathit{y}$- plane.
Choices A, B, and C are incorrect.
The number of x-intercepts of each of these graphs is not equal to five; therefore, none of these graphs could be the complete graph of $\mathit{f}$, which has five distinct zeros.