which statement is true regarding the functions on the graph? f(6) = g(3) f(3) = g(3) f(3) = g(6) f(6) = g(6)

Explanation:

Step1: Recall function - value meaning

The value of a function (y = f(x)) at (x=a) is the (y) - coordinate of the point on the graph of (y = f(x)) with (x) - coordinate (a).

Step2: Find (f(3)) and (g(3))

To find (f(3)), we look at the blue - line function (y = f(x)) and find the (y) - value when (x = 3). To find (g(3)), we look at the red - line function (y = g(x)) and find the (y) - value when (x = 3). The two functions intersect at (x = 3). At the intersection point of the two functions, the (x) - values are the same and the (y) - values (function values) are also the same. That is, when (x = 3), (f(3)=g(3)).

Answer:

(f(3)=g(3)) (the second option)