investigate the given green function. is the function continuous on 0, 6? yes no does this function have an…

investigate the given green function. is the function continuous on 0, 6? yes no does this function have an absolute maximum on 0, 6? yes no does this function have an absolute minimum on 0, 6? yes no

investigate the given green function. is the function continuous on 0, 6? yes no does this function have an absolute maximum on 0, 6? yes no does this function have an absolute minimum on 0, 6? yes no

Answer

Explanation:

Step1: Check continuity

The function has a vertical - asymptote in the interval [0, 6]. A function is continuous on an interval if there are no breaks, jumps, or vertical asymptotes in that interval. Since there is a vertical asymptote, it is not continuous.

Step2: Check absolute maximum

The function approaches infinity near the vertical asymptote. There is no highest - value point in the interval [0, 6] because the function value grows without bound near the asymptote, so there is no absolute maximum.

Step3: Check absolute minimum

The function values are positive and approach 0 as x moves away from the vertical asymptote. But since the function is not continuous and has no lower - bound value within the interval [0, 6] (it can get arbitrarily close to 0 but never reach a definite minimum), there is no absolute minimum.

Answer:

No No No