Question

Given the graph of f, find any values of x at which f'is not defined. tiu x O x = -2,2 OX= 0 Ox= -2,0,2 O Defined for all values of x

Answer 1

Cara Be giren graph of f is as follows: -2 s lo 2 are We know that if a function f(x) is deff -tiable at x=c, then we can draw only one tangent at the point (e. f(es) on the graph of y = f(se. Here the points (2,0), (0,0) and (2,8) lie on the . given curve of y = f(x). From the figure it is. clear that we can dreaw only one tangent line VO

at every point on the curve of y=f(x) except at the points (-2,0),(0,0) and (2,0). At these three points infinite number of tangent lines can be drawn. So, f(x) is not differentiable for x= -2,0,2. Hence the answere is : v x = -2,0, 2