(a) Negative values for R have no physical significance, hence P is not plotted for negative values of R.

(b) determine the values in the table:

R 0 1 2 3 4 5
P 0 44.4 32.0 24.5 19.8 16.5

(c) Check what happens between R = 0 and R = 1 ie.

when R = 0.25, P = 44.4

R = 0.50, P = 50

R = 0.75, P = 48

math expression

(d) Conclusions:

(i) The maximum power of 50 W occurs for R = 0.5 W

(ii) P decreases as R increases beyond 0.5 W