1. Consider the following function: f(:zr)=;x:fora:20 (1) = 0.5 for :L'

1. Consider the following function: f (x) x for 2 0 0.5 for a: < 0 Draw a graph of f (x). (1) (2) (a) (b) (c) (d) (e) Find the left hand and right hand limit of f (x) at a: 5 (provided the limits exist). Is f (x) continuous at a: = 5? Find the left hand limit and right hand limit of f at a: = 20 (provided the limits exist). Is continuous at a: 20? Find the left hand limit and right hand limit of f(:r) at a; O (pro- vided the limits exist). Is f@) continuous at = O? Is f (x) a continuous function?