Question

Express the absolute value function f(x)=-8|x| as a piecewise-defined function.

Answer 1

f(x) = -8x if x ≥ 0

f(x)= 8x if x < 0

We break the function where the number inside the absolute value is 0

lxl= 0 if x =0

For the second part:

if x<0

f(x) = -(-8x) = 8x