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

Answer:
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 :)

oppermana oppermana · Answer 2 · 2019-11-24T02:26:15+01:00

oppermana oppermana

24-11-2019

Answer:

the plots are -1,0 2,0 and 0,-6

Step-by-step explanation:

i do not know the second answer the graph above is wrong because the person put f(x)=x^3-2x^2-5x-6 instead of f(x)=x^3

+2x^2-5x-6 like in the picture and like on plato but instead the certified answer is wrong

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