Answer:[tex](-\infty,+\infty)[/tex]Step-by-step explanation:The given function is [tex]y=\sqrt[3]{x+8}[/tex]The range refers to the values of y for which x is defined.We solve for x to obtain;[tex]y^3=x+8[/tex][tex]x=y^3-8[/tex]This is a polynomial function in y.x is defined for all values of y.Therefore the range is all real numbers.or[tex](-\infty,+\infty)[/tex]The first choice is correct.