Question

Jared is studying the two functions, f and g, graphed below. He correctly states that for all x-values to the right of point P, g(x) > f(x). Select the point on the graph which could be point p.

Answer 1

p is the point near (2,6)

Explanation:

From the graph g(x) > f(x):

x < -4.5 or x > 2 (approximately)

x is towards the right of approximately x=2

So p is approximately (2,6)

Answer 2

topmost point

Explanation:

We know that the red line is f(x) and the blue line is g(x). Looking at the graph, we see that on the left, there's a section where the blue line is obviously above the red line and will be until negative infinity because the red line is continuously heading downward.

However, the points from the blue line to the right of that section are below the red line. So we know that we can't have any of those 4 points that are on or below the x-axis. Thus, P must be the topmost point.