Final answer:
The question appears to ask for the range of the cubic function f(x)=2x³-5x²+7x-23, which usually involves analyzing the graph or using derivatives. However, without further context, the range of a typical cubic function is all real numbers.
Step-by-step explanation:
The student has asked to find the set of possible values for the function f(x)=2x³-5x²+7x-23. The question appears to be asking for the range of the function, which is the set of all possible output values (y-values) that the function can produce. To find the range of a cubic function like this, we typically analyze the function's behavior by looking at its end behavior, critical points, and points of inflection. However, the question as presented is incomplete regarding the specific methods to be used, whether to analyze the graph or to use calculus concepts such as derivatives to find turning points and intervals of increase or decrease. Nonetheless, given that cubic functions can take on all real number values for y, the range is likely all real numbers unless there is any additional information such as domain restrictions or context provided in the question.