Is the function defined by `f(x)={x+5, ifxlt=1x-5, ifx >1` a continuous function?

Explanation

`f(x) = {{:(x + 5"," ifle 1 ),(x - 5"," if x gt 1):}`
at x = 1
` f(1) = 1 + 5 = 6`
R.H.L. = ` underset (x to 1^(+))(lim)f(x)`
Let 1 + h = x
`rArr 1 + h to 1 `
`rArr h to 0`
`=underset (h to 0)(lim) f(1+h)`
`=underset (h to 0)(lim) (1 + h) - 5`
`(1 + 0) - 5 = - 4 `
`:'` f(1) ne R.H.L.
`:.` f(x) is discontinuous at x = 1.