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You both raise good points.
Here, the study design should be your guide:
"Key knowledge
Defining mental health
• mental health as a continuum (mentally healthy, mental health problems, mental disorders) influenced by
internal and external factors that can fluctuate over time
• the typical characteristics of a mentally healthy person, including high levels of functioning, social and emotional
well-being and resilience to life stressors"
So your definitions would be:
mental health: a continuum encompassing being mentally healthy, having mental health problems, and experiencing mental disorder/s, which is influenced by internal and external factors that can fluctuate over time
mentally healthy: a positive state of wellbeing in which a person can function effectively (contribute to their community, achieve goals, demonstrate resilience to life's stressors) and feels connection (to their community and others in general)
@studyingg imo that book's definition is lackluster even when applied to being mentally healthy
I agree with saringiya that "poor mental health" is very ambigous and it would be better to use "mental illness" or "mental health disorder"
Note: Defining mental health as a positive attribute is not invalid. There are lots of different definitions for mental health, and the World Health Organisation defines mental health in a way that shows it as a positive attribute. However, given the specificity with which VCAA has defined mental health in the study design, I would be cautious using any approach that isn't theirs.