which of the following rules represents the function graphed?

a) f(x)=1/2x

b) f(x)=x

c) f(x)=x+2

B

Step-by-step explanation:

To figure out equation of a line, we need two points.

If you look at the graph, one point is and another point let's take .

The equation of the line is given by  

Where m is the slope with formula   and    is point 1 and    is point 2.

Solving for m, we have:

Thus we have  

To solve for c [the y-intercept] we plug in any point into x and y of this equation. Let's use the point . We have:

Thus we can write    or simply  

In function notation, we replace with

So we have

Answer choice B is right.

c

c

c

c

c

c

c

cc

c

step-by-step explanation: