Question

100

20064
-6-5-4-3-2-2
-4-
-6-
-8-
-10
-12+
909
5 6 x
Which statement is true regarding the functions on the
graph?
Of(2)=g(2)
Of(0) = g(0)
Of(2)= g(0)
Of(0) = g(2)

Answer 1

the only true statement is "f(2) = g(2)".

Explanation:

The question is asking us to determine which statement is true regarding the functions represented by the graph. Let's analyze the graph and the given statements:

The point (2, 6) is on both f(x) and g(x), so we have f(2) = 6 and g(2) = 6. Therefore, the statement "f(2) = g(2)" is true.

The point (0, -2) is on f(x), but not on g(x). Therefore, the statement "f(0) = g(0)" is false.

The point (2, 6) is on f(x), but not on g(x). The point (0, -2) is on f(x) and g(x), but the x-values are different. Therefore, the statement "f(2) = g(0)" is false.

The point (0, -2) is on f(x) and g(x), but the x-values are different. Therefore, the statement "f(0) = g(2)" is false.

In summary, the only true statement is "f(2) = g(2)".