Global Maximum and Minimum (HSC SSCE Mathematics Advanced): Flashcards
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Global max condition for
Global max condition for
for all in domain
Global min condition for
Global min condition for
for all in domain
Scope: local vs global extrema
Scope: local vs global extrema
Local: small neighbourhood; Global: entire domain
When can function have multiple global minima?
When can function have multiple global minima?
When multiple points share exactly equal lowest values
3 types of critical points to check for global extrema
3 types of critical points to check for global extrema
Turning points, domain boundaries, discontinuities of
Turning points occur where?
Turning points occur where?
Why check endpoints on restricted domains?
Why check endpoints on restricted domains?
Endpoints can be global extrema even if not turning points
When might global max not exist?
When might global max not exist?
If highest value excluded from domain or extends to infinity
What makes parabola concave-down?
What makes parabola concave-down?
Negative coefficient of term (opens downward)
Axis of symmetry for parabola with 2 x-intercepts
Axis of symmetry for parabola with 2 x-intercepts
Halfway between the two x-intercepts