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

(b) Draw up a table of values:

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`

1234567891011-11020304050RP

Graph of `P=(100R)/(0.50+R)^2`.

Note the axes are labelled with R (resistance) and P (power).

(d) Conclusions:

(i) The maximum power of `50\ "W"` occurs when resistance `R = 0.5\ "W"`

(ii) P decreases as R increases beyond `0.5\ "W"`

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