Check all of the functions that are odd.f(x)=x3-x2f(x)=x5-3x3+2xf(x) = 4x + 9

Answer:1) [tex]f(x)=x^{3}-x^{2}[/tex] is not an odd function2)[tex]f(x)=x^{5}-3x^{3}+2x[/tex] is an odd function3)[tex]f(x)=4x+9[/tex] is not an odd functionStep-by-step explanation:The function is odd, which satisfies the condition f(-x) = - f(x)first we check for [tex]f(x)=x^{3}-x^{2}[/tex]Replace x with - x,[tex]f(-x)=(-x)^{3}-(-x)^{2}[/tex][tex]f(-x)=(-x)^{3}-(x)^{2}[/tex]we can't write this in the form of f(-x) = - f(x)so, this is not an odd functioncheck for [tex]f(x)=x^{5}-3x^{3}+2x[/tex]Replace x with - x,[tex]f(-x)=(-x)^{5}-3(-x)^{3}+2(-x)[/tex][tex]f(-x)=-((x)^{5}-3(x)^{3}+2(x))[/tex][tex]f(-x)=-f(x)[/tex]so, this is an odd functioncheck for [tex]f(x)=4x+9[/tex]Replace x with - x,[tex]f(-x)=4(-x)+9[/tex][tex]f(-x)=-4x+9[/tex]we can't write this in the form of f(-x) = - f(x)so, this is not an odd function