Question

Write a linear function f with the given values.

x
-4
-2
0
f(x) =
f(x)
-2
-1
0

Answer 1

f(x) =
`(1)/(2)` x

Explanation:

a linear function has the form

f(x) = ax + b

to find a and b substitute ordered pairs from the table into f(x)

using (0, 0 )

0 = a(0) + b

0 = b

then

f(x) = ax + 0

using (- 4, - 2 )

- 2 = a(- 4) = - 4a ( divide both sides by - 4 )

`(-2)/(-4)` = a , that is

a =
`(1)/(2)`

Then

f(x) =
`(1)/(2)` x

or

f(x) = 0.5x