Final answer:
The vertical asymptotes for the function described by the student are at x = -1 and x = 2. These are the lines where the function's value approaches infinity as it gets closer to these x-values on the graph.
Step-by-step explanation:
The student's question asks to name the vertical asymptotes for a function, given as x = -1 and x = 2. A vertical asymptote of a function is a line where the function's value tends towards infinity (or negative infinity) as the function approaches the line from either the left or the right on a graph. The fact that the question specifies x = -1 and x = 2 means that these are the x-values where the function goes to infinity, so these are indeed the vertical asymptotes of the function. To illustrate, the function y = 1/x has a vertical asymptote at x = 0 where the function's value approaches infinity as x approaches zero.