ts each part Consider this graph a Does this graph represent

ts. each part) Consider this graph: a. Does this graph represent a function? Why/why not? b. Find the domain f(x) d. is f(x) continuous on the open interval (-1,1)? Whywhy not? lim f(x) 2

Solution

a)
yes it is a function because at every point a line parallel to y-axis cuts at only one point i.e we have a unique value at every point
b)
domain of f(x) is (-, -2) U (-2, 0) U [0, 2) U (2,4) U (4, )
c)
as the funtion is not continuous at x = 4 & we dont know the function, so we cannot say about the limit
we can find left hand limit & right hand limit pnly if we know the function
d)
function is continuous between (-1,1) except at x = 0
e)
as the funtion is not continuous at x = 2 & we dont know the function, so we cannot say about the limit
we can find left hand limit & right hand limit pnly if we know the function