Select the graph and the description of the end behavior of f(x) = x3 + 2.

Given the function: y= f(x) =           ......[1]

End behavior of a polynomial function is the behavior of the graph of function  f(x) as x approaches positive infinity or negative infinity.

Also, the degree and the leading coefficient of a polynomial function determine the end behavior of the function.

Since the given function  f(x) =  is cubic function with degree 3  and leading coefficient 1 (i.e positive).

y-intercept of the function:

Substitute the value x= 0 in [1] to solve for y;

y= f(x) = = 0+2 =2

Therefore, the y-intercept of the function is 2 (which means the graph cut the y-axis at 2 i.e, y=2)

Since, the  degree of the function is odd and the leading coefficient is positive.  

so, the end behavior is;

as   then, ,

as then, .

the two may have that, even a breakdown is probably offered

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.