Question

redefine the function |2x - 1| , -1<_ x <_ 1 ​

Answer 1

f(x)=∣x−2∣+∣2+x∣−3≤x≤3

Redefining function in −3≤x≤3

f(x)=

⎩

⎪

⎪

⎪

⎨

⎪

⎪

⎪

⎧

2−x−2−x

2−x+2+x

x−2+2+x

=−2x;

=4;

=2x;

−3≤x≤−2

−2≤x≤2

2≤x≤3

Answer 2

Answer:

(x)=∣x−2∣+∣2+x∣−3≤x≤3

Redefining function in −3≤x≤3

f(x)=

⎩

⎪

⎪

⎪

⎨

⎪

⎪

⎪

⎧

2−x−2−x

2−x+2+x

x−2+2+x

=−2x;

=4;

=2x;

−3≤x≤−2

−2≤x≤2

2≤x≤3

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Step-by-step explanation:

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