Question

Let f'(x)=4x^3-12x^2.
(a) find three different functions with derivative equal to f'(x). how are the graphs of the three functions related?

the only one that i can figure out is:
f(x)=x^4+4x^3+y where y can equal any constant.

any help on figuring out the other two would help, thanks.

Answer 1

let y=1, 0, -50, 34

all those are different functions.

how are they different? they are displaced in vertical on a graph, but in all instances, they are equidistant along the functions.