Question

Which linear function f has the values f(0)=3 and f(−4)=0 f(x)=34x−4 f(x)=34x+3 f(x)=43x−4 f(x)=43x+3

Answer 1

`f(x) = (3)/(4)x +3`

Explanation:

Given

`f(x) = (3)/(4)x +3`

`f(x) = (4)/(3)x-4`

Required

For which function is
`f(0) = 3` and
`f(-4) = 0` true

`f(x) = (3)/(4)x +3`

Substitute 0 for x

`f(0) = (3)/(4) * 0 + 3`

`f(0) = 0 + 3`

`f(0) = 3`

Substitute -4 for x

`f(-4) = (3)/(4) * -4 + 3`

`f(-4) = -3 + 3`

`f(-4) = 0`

Hence:

`f(x) = (3)/(4)x +3` is true for
`f(0) = 3` and
`f(-4) = 0`