Question

PLEASE HELP I WILL GIVE BRAINLIEST PLEASE 20 POINTS

Answer 1

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Answer:

  $\begin{cases}3x+12&\text{if }x>-4\\0&\text{if }x=-4\\-3x-12&\text{if }x$

Step-by-step explanation:

The absolute value function negates its argument when its argument is negative. The expression 3x+12 will be negative when ...

  3x +12 < 0

  x +4 < 0

  x < -4 . . . . . makes the absolute value function change its argument's sign

Using this fact, we can divide the domain into intervals below -4, at -4, and above -4. The above answer shows the function value in each domain interval.