why is the function y=x^5−13 is a nonlinear function?

The function y=x^5−13 is considered a nonlinear function because it is not of the form y=ax+b, where a and b are constants. In a linear function, the highest power of x is 1, whereas in this function, the highest power of x is 5. This means that the function does not have a constant rate of change and its graph will not be a straight line. Instead, it will exhibit curvature and have a more complex shape, making it a nonlinear function.