Give an interval over which the set of two functions f1(x)

Chapter , Problem 11RP

(choose chapter or problem)

Give an interval over which the set of two functions \(f_{1}(x)=x^{2}\) and \(f_{2}(x)=x|x|\) is linearly independent. Then give an interval over which the set consisting of \(f_{1}\) and \(f_{2}\) is linearly dependent.

Text Transcription:

f_{1}(x)=x^{2}

f_{2}(x)=x|x|

f_{1}

f_{2}