25. 26.
Domain / Range and Functions
Which of the following relations is a
function?
A. {(-2,-2),(-2,-1),(-2,0),(-2,1),(-2, 2)}
B. {(1,0),(-1,0), (2,1),(-2,1),(3,2), (-3,2)}
C. {(-2,1),(-1,2), (0,0),(-1,1),(2,-2)}
D. {(-3,3), (1,3),(-3,2), (1,2), (-3,1),(1,1)}
What is answer

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:

its line 2 i just added the rest or else it wouldn't let me answer