Question 2
Draw the graphs of the following functions:
$$u=\sqrt{(x^2-1)^2},\qquad y=x+\sqrt{(x^2-1)^2},\qquad x\in\mathbb R.$$
Discuss the number of solutions of
$$x+\sqrt{(x^2-1)^2}=m$$
as a function of the parameter $m$.
$$u=\sqrt{(x^2-1)^2},\qquad y=x+\sqrt{(x^2-1)^2},\qquad x\in\mathbb R.$$
Discuss the number of solutions of
$$x+\sqrt{(x^2-1)^2}=m$$
as a function of the parameter $m$.