What happens to the graph of y=2 x 3 + x 2 −7x−6 y=2x3+x2−7x−6 as x x heads toward ∞ ∞ and −∞ −∞ ? A. as x→∞ x→∞, y→−∞ y→−∞ as x→−∞ x→−∞, y→∞ y→∞ B. as x→∞ x→∞, y→− y→−∞ as x→−∞ x→−∞, y→−∞ y→−∞ C. as x→∞ x→∞, y→ ∞ y→∞ as x→−∞ x→−∞, y→∞ y→∞ D. as x→∞ x→∞, y→∞ y→∞ as x→−∞ x→−∞, y→−∞ y→−∞

could you reply to this with the question so i can ?

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: