Answer:
The correct answer is Option 4, the fourth graph
Step-by-step explanation:
We will go through why the other graphs are not the correct answer and then explain why the fourth is indeed the correct answer.
Option 1 is wrong because it has the general shape of the graph of an even valued function. These functions are either concave up or concave down.
Option 2 is wrong because it has the general shape of the cubic function. These functions are defined for both negative and positive values of x.
Option 3 is wrong because it is not defined for negative values of x. It has the general shape of the square root function.
Option 4 is correct because it has the general shape of the function [tex]f(x)=\sqrt[3]{x}[/tex]. Functions of this kind are defined for both negative and positive values of x.
