A: the graph of f(x) always exceeds the graph of g(x) over the interval [0, 5] b: the graph of g(x) always exceeds the graph of f(x) over the interval [0, 5] c: the graph of f(x) exceeds the graph of g(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of g(x) exceeds the graph of f(x). d: the graph of g(x) exceeds the graph of f(x) over the interval [0, 4], the graphs intersect at a point

we analyze the table

From the table we can see that f(x) values are larger than g(x) values till x= 4

When x=5 the g(x) is greater than f(x)

So we can say the graph of f(x) exceeds g(x) over the interval [0,4]

Over the interval [4,5] g(x) exceeds f(x), it means there is a intersection point between 4  and 5

The graph of g(x) exceeds the graph of f(x) after some point of intersection between 4  and 5

Answer is : c: The graph of f(x) exceeds the graph of g(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of g(x) exceeds the graph of f(x).

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse

i think the correct option is the second option.