Continuity and Differentiability
Is the function defined by f(x)=∣x∣, a continuous function?
Show that the function f defined by f(x)=∣1−x+x∣, where x is any real number, is a continuous function.
A curve passes through the point (0,−2) and at any point (x,y) of the curve, the product of the slope of its tangent and y-coordinate of the point is equal to the x-coordinate of the point. Find the equation of the curve.