Question

The graph of linear functions f and g are shown on the grid. Which function is best represented by the graph of g?A. g(x)=f(x)-4B. g(x)=1/3f(x)C. g(x)=3f(x)D. g(x)=f(x)-2

Answer 1

First, we have to select two points from the graph. (0,0) and (3,1)

Then, let's calculate the slope of the line

$m=\frac{y2-y1}{x2-x1}=\frac{1-0}{3-0}=\frac{1}{3}$

Then we find the rule of f(x), Since we can see that f(x)=x becauand g(x)= 1/3*x. Therefore, g(x)= 1/3*f(x). Option B.