Global Maximum and Minimum (HSC SSCE Mathematics Advanced): Quizzes
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Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
What condition defines a global maximum at point ?
What condition defines a global maximum at point ?
for all in domain
What condition defines a global minimum at point ?
What condition defines a global minimum at point ?
for all in domain
What is the key difference between local and global extrema?
What is the key difference between local and global extrema?
Scope: local is neighbourhood, global is entire domain
When does a function have no global minimum?
When does a function have no global minimum?
When curve continues infinitely downward
Can two points both be global minima simultaneously?
Can two points both be global minima simultaneously?
Yes, if they have exactly equal function values
What are the three types of critical points to check for global extrema?
What are the three types of critical points to check for global extrema?
Turning points, boundaries, discontinuities
At what points do turning points occur?
At what points do turning points occur?
Where
For on , what is the absolute maximum value?
For on , what is the absolute maximum value?
4 at
For on , where is the global maximum?
For on , where is the global maximum?
16 at (boundary point)
When must you evaluate the function at endpoints?
When must you evaluate the function at endpoints?
When domain is restricted to closed interval