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 5^4/5^6 1/25 1/5 5 25
When removing heavy objects that may change the center of gravity of a vehicle ________. Group of answer choices
JUSTLIKETHAT where did you go?
Why do the people at the masque ball eat, drink, and party when the disease is spreading throughout their country? *
8(2f-3)=4f Can anybody give an explanation and answer ? Algebra 1 ?
Which of these choices is equivalent to the expression: i85
Plz help ASAP thanks!! Sodium(Na), magnesium (Mg) and sulfur (S) are all in the same_____ A:group B: Period They have the same number of____ A:Valence electr
Who had taught you english language? into passive
HELP AS SOON AS YOU CAN!!! what word best describes an appropriate study area?​
A= 5,000 (1+.002*10)