Plot the zeros of the function and select the correct end behavior of function's graph. function: f(x)=x^(3)-2x^(2)-5x-6 a. as x approaches positive infinity, f(x) approaches negative infinity. b. as x approaches negative infinity. f(x) approaches negative infinity c. as x approaches negative infinity, f(x) approaches positive infinity d. as x approaches positive infinity, f(x) remains constant

As x approaches negative infinity, f (x) approached negative infinity

Explanation:
The graph of the given function is shown in the attached image.

Let's check the options given:
Option 1:
As x approaches positive infinity, f(x) approaches negative infinity.
This option is incorrect as we can note that as the value of x increases approaching positive infinity, the value of f (x) also increases approaching positive infinity

Option 2:
As x approaches negative infinity. f(x) approaches negative infinity.
This option is correct as we can note that as the value of x decreases approaching negative infinity, the value of f (x) also decreases approaching negative infinity

Option 3:
As x approaches negative infinity, f(x) approaches positive infinity.
This option is incorrect as we can note that as the value of x decreases approaching negative infinity, the value of f (x) also decreases approaching negative infinity

Option 4:
As x approaches positive infinity, f(x) remains constant.
This option is incorrect as we can note that as the value of x increases approaching positive infinity, the value of f (x) also increases approaching positive infinity

Hope this helps :)