Using only the values given in the table for the function f(x) = –x3 + 4x + 3, what is the largest interval of x-values where the function is increasing?

Answer:
the largest interval of x values where f(x) is increasing is (-1,1).
Step-by-step explanation:
[tex]f(x)=-x^3+4x+3[/tex]
the domain of f(x) is all real numbers.
As we can conclude from the table that the function f(x) is decreasing from (-3, -1) and the function is increasing from (-1, 1) .
Graphically we can also show this that for the x-values in (1,-1) function is increasing.