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Below is a few practice problems of various difficulty, but you will need considerably more practice than one each. For that reason
you should definitely use the green “Try Another” button in the top right corner at least two or three times to complete
additional versions of these questions for more practice. You should keep using that button until doing these problems feels straight
forward and easy, and then come back after a week or so of doing other stuff and try again to make sure it is still just as easy for
you.
Theoretically Easier Difficulty Problem
You don’t need to factor or graph the function
The answer is only asking for the maximum possible relative extrema, not how many local extrema the function actually
has.
Consider the function . What are the maximum number of relative extrema that could have? .
Theoretically Medium Difficulty Problem
You don’t need to factor or graph the function
The answer is only asking for the maximum possible relative extrema, not how many local extrema the function actually
has.
Consider the function . What are the maximum number of relative extrema that could have? .
You don’t need to factor or graph the function
The answer is only asking for the minimum possible relative extrema, not how many local extrema the function actually
has.
What is the minimum number relative extrema that could possibly have?
Remember that local/relative extrema must come in pairs
Since you know the minimum number of possible extrema from the previous problem, and you know they must come in pairs, add
an even number to the minimum (as long as you stay below the maximum!)
Enter any number that could be a valid number of possible local extrema for .
Theoretically Harder Difficulty Problem
You don’t need to factor or graph the function
The answer is only asking for the maximum possible relative extrema, not how many local extrema the function actually
has.
Consider the function . What are the maximum number of relative extrema that could have? .
You don’t need to factor or graph
the function
The answer is only asking for the minimum possible relative extrema, not how many local extrema the function actually
has.
What is the minimum number relative extrema that could possibly have?
Remember that local/relative extrema must come in pairs
Since you know the minimum number of possible extrema from the previous problem, and you know they must come in pairs, add
an even number to the minimum (as long as you stay below the maximum!)
Enter any number that could be a valid number of possible local extrema for .
Precalculus Algebra