Learning Resources

Investigation 11: Graphing a Polynomial Function

• Remember that you must check both the right and left hand limits when evaluating the derivative at a finite point. 
• You should realize that the right hand limit of this function does not exist. 
• The given domain restricts the values of x to numbers between, and including, 0 and 1. 
• Thus, it is impossible to evaluate . 
• Therefore, is undefined. 
• This is due to the fact that f (1 + h) is undefined when h > 0, since (1 + h) is not in the given domain.