State the power and constant of variation for the function, and then analyze it.f(x) = -4x1/3

Question

What will be an ideal response?

Answer 1

Power is 1/3; constant of variation is -4; Domain: all reals; Range: all reals; Continuous; Decreasing for all x; Symmetric with respect to the origin (an odd function); Not bounded above or below; No local extrema; No asymptotes; 
End behavior: (-4x^1/3) = ? and (-4x^1/3) = -?.