Comparing the values of functions

Functions f(x) and g(x) are given:

Which statement about f(x) and g(x) are true?
​A.) f(x) > g(x) for all values of x
​B.) g(x) > f(x) for all values of x
​C.) f(x) > g(x) for all values of x, where x > 2
​D.) g(x) > f(x) for all values of x, where x > 2

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C.) f(x) > g(x) for all values of x, where x > 2

If x is 1, then f(x) = g(x)
and
If x is 2, then f(x) = g(x)
and
If x is 3, then f(x) > g(x)

In the graph,
f(x) is the red graph
g(x) is the blue graph
You see that when x = 1 and x = 2, the graphs are intersecting.
However, when x is greater than 2, the value of f(x) is greater than the value of g(x).

The value of a function is the y-value at for any particular x-value.

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