Finding the maximum and minimum values of \(\displaystyle{f{{\left({x}\right)}}}={\left|{x}-{1}\right|}+{\left|{x}^{{2}}-{2}{x}\right|}\)

Kasey Castillo

Kasey Castillo

Answered question

2022-04-07

Finding the maximum and minimum values of
f(x)=|x1|+|x22x| for x[0, 2]

Answer & Explanation

firenzesunzc65

firenzesunzc65

Beginner2022-04-08Added 16 answers

Step 1
We start by getting rid of modulus symbol
0x<1
f(x)=(x1)+x((x2))=x2+x+1=54(x12)2
Step 2
1x2
f(x)=(x1)+x((x2))=x2+3x1=54(x32)2

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