Question

Rewrite the equation y=−3|x−1|−3 as two linear functions f and g with restricted domains

Answer 1

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Answer:

• y = -3(x -1) -3 . . . x ≥ 1
• y = 3(x -1) -3 . . . .x < 1

Explanation:

When the absolute value function argument is less than zero, the absolute value function changes its sign.

For x-1 ≥ 0

y = -3(x -1) -3 . . . . . x ≥ 1

For x-1 < 0

y = 3(x -1) -3 . . . . . .x < 0 . . . . sign of (x-1) is changed

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These can be simplified to ...

y = -3x for x ≥ 1

y = 3x -6 for x < 1