Question

A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 18, 3, 0, 3, 6, 3.

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 1

-1,1

Explanation:

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Answer 2

[-1, 1]

Explanation:

Comparing each table value to the one before, we find the function to be increasing on the interval [-1, 1].

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The graph in the second attachment shows that integer interval to be the only one where the function is increasing.