Q:

Which graph represents f(x)= -1/2x^3

Accepted Solution

A:
Answer:Last graph represents the given function.Step-by-step explanation:First, we need to consider a few rules about transformation of functions, specifically about the negative sign and the division of the function by a number.The negative sign indicates that the function has to be reflected regarding the vertical axis. The normal function is like the third option, and the reflect one is like the last graph.On the other hand, the fraction presents a contraction of the function size, but this characteristics is not enough to select the right graph, because third and fourth options have the same size. Therefore, according to the negative sign in the given function, the correct answer is the last graph.