Rewrite the equation y=2|x-2|+4 as two linear functions f and g with restricted domains.

Question

Mathematics

Jessie Graham

10 December, 10:29

Rewrite the equation y=2|x-2|+4 as two linear functions f and g with restricted domains.

+2

Answers (2)

Know the Answer?

Roberto Mcconnell · Answer 1

f (x) = - 2x + 8, x < 2

g (x) = 2x, x "2

Ashlynn Mahoney · Answer 2

f (x) = - 2x + 8, x < 2

g (x) = 2x, x "2

Step-by-step explanation:

|x - 2| is:

x - 2, for x "2

-x + 2, for x < 2

For x < 2,

f (x) = 2 (-x + 2) + 4

f (x) = - 2x + 8

For x "2,

g (x) = 2 (x - 2) + 4

g (x) = 2x