Which best describes a root of a polynomial?

a. a point on the graph of the polynomial that has a greater y-value than any nearby points on the graph b. the y-value of a point on the graph of the polynomial that has an x-value of 0.
c. the x-value of a point on the graph of the polynomial that has a y-value of 0.
d. a point on the graph of the polynomial that has a greater x-value than any nearby points on the graph.

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: