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

what is the value of X?
Which regions did Kush link through trade? I AM GIVING OUT BRAINLIST
Ramon bought a bicycle for $478. The value of the bicycle is expected to decrease at a rate of 6.5% each year. What function equation represents the value of t
The pharmaceutical manufacturing industry replaced the early role of the _______ in developing drugs.
Which option best describes why Puritans were motivated to migrate from England to the New World? Puritans who wanted to convert to Judaism could do so in the
PLEASE HELP ME What is the surface area of the square pyramid? A. 2480 in2 B. 5120 in2 C. 6880 in2 D. 8640 in2
which is an aim of a public health official a. promoting international peacekeeping b. promoting business and commerce c. developing effective safety policies
what is the value of f if f + I-3 11/12 = 18
What is a body part spelled forwards and backwards?
Cancer causing agents are also called