In which direction does the left side of the graph of this function point?
f(x) = 3x^3– x^2 + 4x - 2

Down.

Step-by-step explanation:

ƒ(x) = 3x³ - x² + 4x - 2

"They" are asking you to determine the end behaviour of the function, that is, what happens to the function as x ⟶ -∞.

The important point to remember is that, when x is large enough, the term of highest degree (the x³ term) will be so large that you can ignore all the other terms.

If x is large and negative,  

f(x) ≈ 3(-x)³ = 3(-1)³(x)³= -3x³

Thus, the graph is in the third quadrant and the graph points down.

The figure below shows the graph of your function. It points sharply down on the left-hand side.

a is the right answer

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.