Question

true or false:
\[\left\{ \left( 2,x \right) \left| \right| x \epsilon \mathbb{R} \right\}\] is a function

Answer 1

a function can be written in the form

\[\{(x,f(x))|x\in \mathbb{R}\}\]

if this is the case then you have a \[f(2)\] can be any real number. That is not a function

Answer 2

again thank you thank you so much :)

Answer 3

its not a function because domain element is fixed and is common for all the pairs means it is repeated infinitely many times. graph of such a relation is a vertical line perpendicular to horizontal axis at x=2

Answer 4

thank you Shazia and Zarkon :)

Answer 5

welcome dear