Question

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

Answer 1

Answer:

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

Answer 2

Answer:

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

g(x) = 2x, x 》2