Question

draw the graph of the function A=x^2​

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Draw the graph of the following function: f(x)=∣x−2∣+∣x−3∣

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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

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