Provide an appropriate response.Over what intervals of x-values, if any, does the function y = decrease as x increases? For what values of x, if any, is y ' negative? How are your answers related?

Question

What will be an ideal response?

Answer 1

The function y =  decreases (as x increases) over no intervals of x-values. Its derivative y ' = x⁴ is negative for no values of x. The function decreases (as x increases) wherever its derivative is negative.