What polynomial has roots of -6 -4 and 1?
a. x^3-9x^2-22x+24
b. x^3-x^2-26x-24
c. x^3+x^2-26x+24
d. x^3+9x^2+14x-24

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: