List all possible rational zeroes for the function. Enter your answer as a comma separated list.

Answer:
no zeros
Explanation:
The zeros of our function will be the x values that are solutions to
[tex]f(x)=x^4+3x^3-4x+4=0[/tex]Meaning, the points at which the function intersects the x- axis ( because that is where y = f(x) = 0)
Plotting the function gives
We see that the function does not intersect the x-axis at any point. Therefore, the function does not have any zeros.