Question

Given the function f(x)=4|x|, write f(x) as a piecewise function that does not include absolute value symbols.Please fill the blanks
f(x)=blank; when x≤ blank
f(x)= blank; when x> blank

Answer 1

f(x) = 4x when x ≤ 0

f(x) = 4 x when x > 0

| x | is always positive so 4 | x | is also always positive.

4 | x | = 4 x for all value of variable x.

Answer 2

f(x) = -4x when x ≤ 0

|x| = x if x >= 0
|x| = -x if x < 0