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

110 as a product of prime numbers
Which African American was the first black person to get a doctorate from Harvard University? a) Booker T. Washington b) F. L. Barnett c) W. E. B. Du Bois d) La
What are tiny blood vessels that has walls thin enough for carbon dioxide and oxygen to be exchanged
Which religious system can now be found in Asian nations, as a direct result of European colonization?
Was mercy otis warren a federalist
•What seven characteristics are unique only to marine mammals—not all mammals? •What two Suborders do we classify Order Carnivora into?
land which has not yet been divided into states
which expression is equivalent to 3(x+2)(x-1)+5x(x-1)
Gravitational force acts on two objects with which of the following? A. mass B. force C. orbit D. speedI will thums up!!!
Intrusive igneous rock bodies are called A. tephra. B. cinder cones. C. tectonics. D. plutons.