Final answer:
The function y=|x⁴| can be written using piecewise notation as y = x⁴ if x >= 0 and y = -x⁴ if x < 0.
Step-by-step explanation:
The function y=|x⁴| can be written using piecewise notation as:
y = x⁴ if x >= 0
y = -x⁴ if x < 0
In the piecewise notation, we consider two cases: when x is greater than or equal to 0 and when x is less than 0. For x greater than or equal to 0, the absolute value of x⁴ is equal to x⁴. For x less than 0, the absolute value of x⁴ is equal to -x⁴.