Question 2 Multiple Choice Worth 1 points) (02.05 MC)
Graph g(x), where f(x) = 4x - 2 and g(x) = f(x + 1).

Solution: means we replace 'x' with 'x+1' and we get g (x). Let us put x = 0 and then y = 0 to find two points on coordinate axis to easily plot the graph of g (x). Now, let us put y = 0 and find out x. So, second point is . Now, let us plot A and B then extend the line joining AB.

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: