Question

Using only the values given in the table for thefunction, f(x), what is the interval of x-values over whichthe function is increasing?Х-6-5-4-3-2.-101f(x)343-10-11-6-1-2-15O (-6,-3)O (-3,-1)O (-3,0)O (-6, -5)

Answer 1

Given the table:

Х f(x)

-6 34

-5 3

-4 -10

-3 -11

-2. -6

-1 -1

0 -2

1 -15

Let's find the increasing intervals.

A function is increasing over the interval when the values of f(x) increases as the values of x increases.

At the interval:

From x = -3 to x = -1, the values of f(x) increases from -11 to -1.

Therefore, the interval of x-values over which the function is increasing is:

(-3, -1)

ANSWER:

(-3, -1)