Question

Which table describes the behavior of the graph of f(x) = 2x³ - 26x - 24?

Answer 1

After you have plotted the graph of the polynomial, the x-intercepts of the given polynomial will be:
(-3,0),(-1,0) and (4,0)
therefore the interval will be:
(-∞,-3)-below, (-3,-1)-above,(-1,4)-below,(4,∞)-above
The answer is ]

Answer 2

The answer is the table B

Explanation:

we have

`f(x)=2x^(3)-26x-24`

Using a graphing tool

see the attached figure to better understand the problem

Relation of graph to the x-axis

Interval (-∞,-3) -----> below (the function is negative)

Interval (-3,-1) -----> above (the function is positive)

Interval (-1,4) -----> below (the function is negative)

Interval (4,∞) ----->above (the function is positive)