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10 cards from this deck
f(x)≤f(a)f(x) \leq f(a)f(x)≤f(a) for all xxx in domain
f(x)≥f(a)f(x) \geq f(a)f(x)≥f(a) for all xxx in domain
Local: small neighbourhood; Global: entire domain
When multiple points share exactly equal lowest values
Turning points, domain boundaries, discontinuities of f′(x)f'(x)f′(x)
f′(x)=0f'(x) = 0f′(x)=0
Endpoints can be global extrema even if not turning points
If highest value excluded from domain or extends to infinity
Negative coefficient of x2x^2x2 term (opens downward)
Halfway between the two x-intercepts
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