Question

draw the graph of the function f given by f(x) = |5-x|+|x-3|,x£[2,6]​

Answer 1

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Answer 2

Answer:

(x)=∣x−2∣+∣x−3∣

x<2 f(x)=2−x+3−x

=5−2x

2≤x<3 f(x)=x−2+3−x

=1

x≥3 f(x)=x−2+x−3

=2x−5

f(x)=

⎩

⎪

⎪

⎨

⎪

⎪

⎧

5−2x

1

2x−5

x<2

2≤x<3

x≥3

solution