660 Question 2

The key is which segment of the outer function the function value of each segment of the inner function corresponds to.

Definition of monotonicity

The latter term minus the previous term

Divide the last item from the previous one

Determining the positivity or negativity of the first derivative

Frequently asked questions: Prove or judge monotonicity, find limits (a monotonic bounded function must have a limit)

Definition: f(-x)=-f(x)

Properties: The graph is symmetrical about the origin, and if it is defined at x=0, there must be f(x)=0

Determine parity

Definition: f(x)=f(-x)

Properties: The graph is symmetrical about the y-axis

Determine the parity of a function

If there is an upper bound but no lower bound or if there is a lower bound but no upper bound, the function is unbounded.