determining the interval where the function is increasing using only the values given in the table for the…

determining the interval where the function is increasing 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? x f(x) -3 18 -2 3 -1 0 0 3 1 6 2 3

determining the interval where the function is increasing 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? x f(x) -3 18 -2 3 -1 0 0 3 1 6 2 3

Answer

Explanation:

Step1: Check function values

As (x) increases from (-1) to (1), (f(x)) increases from (0) to (6).

Step2: Analyze other intervals

For (x) from (-3) to (-2), (f(x)) decreases from (18) to (3); for (x) from (1) to (2), (f(x)) decreases from (6) to (3).

Answer:

(-1\leq x\leq1)