Final answer:
Graded potentials are affected by the size of the stimulus, with stronger stimuli causing larger changes in membrane potential. However, action potentials are 'all or none' and do not vary in size; stronger stimuli can only increase their frequency.
Step-by-step explanation:
The statement 'the stronger the triggering event, the larger the resultant graded potential' is true. Local changes in the membrane potential, termed graded potentials, are indeed influenced by the size of the stimulus. A small stimulus will cause a small change, while a stronger stimulus will result in a larger change in membrane potential; this is due to more ion channels being activated, causing greater depolarization or hyperpolarization.
However, it's important to distinguish between graded potentials and action potentials. Action potentials are 'all or none' events that do not vary in size once the threshold is reached; they will occur in the same magnitude every time. Instead of generating a larger action potential, stronger stimuli can cause action potentials to occur more frequently, which may affect the frequency of signals such as pain or muscle contraction, but not their strength per individual action potential.