Question

Grapn the following function . x + 1 for x <= - 5; - 3 for - 5 < x < 6 , f (x) = 1 1 for x >= 6 3

Answer 1

Solution

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f(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