Sketch the region in the first quadrant enclosed by y=8/x,y=4x and y=1/4x

Answer 1

For y=4x, draw a straight line passing through (0,0) and (1,4).

For y=(1/4)x, draw a straight line passing through (0,0) and(4,1).

y=8/x is a reciprocal function. For just the first quadrant, sketch a smooth curve passing through (1,8), (2, 4), (4,2), and (8,1), with asymptotes at x=0 and y=0.

Shade in the region enclosed by the three graphs.