a good oxidising agent is easily oxidised, which means the reaction must be favourable, that'll be require a more stable product than the reactant. vice versa for a good reducing agent.
for example, F- can only be oxidised to F2. which form of the element is more stable? F- , because F2 is too reactive and will readily combine with other elements to form a product. if it is not a good reducing agent, can it be a good oxidising agent? only if it can be further reduced into a more stable compound. this is clearly not the case, so F- is neither.
try applying common definitions of each of the ions to see if which form is more stable. also, thinking about their ease of electron discharge (electronegativity or electron affinity), ease of electron acceptance (ionisation energy) will help u determine the levels of stability between different charges.