churroman69 churroman69
  • 24-10-2020
  • Mathematics
contestada

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

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 24-10-2020

9514 1404 393

Answer:

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

Step-by-step 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

_____

These can be simplified to ...

  y = -3x for x ≥ 1

  y = 3x -6 for x < 1

Ver imagen sqdancefan
Answer Link

Otras preguntas

thoughtful acts can benefit others
What kind of pollution is threatening some estuaries¿
What did the Three-Fifths Compromise achieve? A) It specified the number of states necessary for ratification of an amendment. B) It determined how enslaved peo
What are some of the reasons for limiting authority?to make sure that a duty is fulfilledto protect individual rightsto prevent the misuse of powerall of these
ex- 2y=3z  solve for x
can a house be designed without mathematics
How do living things store their energy ?
what are the real zeros for the function f(x)=x^2-3x-28
In the South American Andes, the altiplano between the Cordillera Oriental and the western Cordillera Occidental is widest in A. Bolivia. B. Ecuador. C. Peru
What is the value of a in the equation 3a + b = 54, when b = 9?