Question $3(1$ point$)$

A $1$D bar of length $3$ is divided into $3$ equal elements creating $4$ nodes for a finite element basis. Which of the following functions are associated with node $2$ :

$(x-2)$ where $(x-0)(2-x)(x-1)(2-x)(1-x)02$

$(1-x)$ where $01$ and $(2-x)$ where $2$

$(1-x)$ where $01$

$(x-1)$ where $1$ and $(2-x)$ where $2$

$(1-x)$ where $00$ and $(2-x)$ where $1$

$(x-1)$ where $1$ and $(2-x)$ where $2$

$(1-x)$ where $02$

$(x-0)$ where $0$ and $(2-x)$ where $1$

$(x-1)$ where $1$ and $(2-x)$ where $2$

$(1-x)$ where $0$