galileacantero71373 galileacantero71373
  • 02-09-2021
  • Mathematics
contestada

If f ( x ) is a linear function, f ( − 4 ) = − 4 , and f ( 4 ) = − 1 , find an equation for f ( x ) .

Respuesta :

reinhard10158
reinhard10158 reinhard10158
  • 06-09-2021

Step-by-step explanation:

linear function

y = ax + b

f(-4) = -4

x = -4

y = -4

-4 = a×-4 + b

f(4) = -1

x = 4

y = -1

-1 = 4a + b

sum both equations

-5 = 0 + 2b

b = -5/2

-1 = 4a - 5/2

3/2 = 4a

a = 3/2 / 4 = 3/8

the function would be

y = 3/8 x - 5/2

Answer Link

Otras preguntas

How might a hole between the sides of the heart affect the functioning of the circulatory system?
The activities in the cell cycle occur during specific phases,in which phase of the cell cycle DNA replicated
Back 8 8. 9. 10. 11. 12. 13. 13
4. A mathematics test has a 4:2 ratio of data analysis problems to algebra problems. If the test has 18 algebra problems, how many data analysis problems are o
A large volume of oxygen can be put into a small tank because oxygen is a gas and gasses can be what?
What are the four tenets of a happy life according to Sam Berns
Solve for d. 2d+4=10+2.5d please i need help i need work to thanks asap please
A tree casts shadow 26 ft long. A 3 ft tall flowers casts a shadow 4 ft long. How tall is the tree?
the correct form of "ser": Nosotros _____________ muy jóvenes.
Is it weird i got through middle school without knowing how to solve shape degrees?