There are many visual signs that can be used to distinguish if your plant has health problems or diseases.
By Leaf appearance
Fan leaf colour
The color and general appearance of fan leaves can provide a lot of information about issues involving nutrients. If the color is uneven it can be a sign of poor health.
Fan leaf patterns for diagnosing nutrient issues (click for higher res)
Leaves that are a shade of very dark green can be a sign of nitrogen toxicity.
"burned" leaf apex
The fan leaves will also show signs of any nutrient burn taking place. Nutrient burn symptoms occur at the tip of fan leaf "fingers" (the apex) where the leaf turns brown and crispy.
Wilted leaves
This can be a sign of both under and over watering.
Claw fan leaves
The apex of the leaf clawing down can be a sign of wind burn (airflow being too intense) or nitrogen toxicity
By plant appearance
Root bound
If roots outgrow the pot they are in they become "bound". If this occurs the plant should be moved to a larger medium to continue growing. Constricting the roots will limit the overall size of the plant and may stunt it.
loss of stem rigidity
This can be a symptom of under-watering