Question #c3676

1 Answer
Nov 20, 2016

Answer:

See explanation.

Explanation:

A function #y=f(x)# is an assignment where for every value of #x# there is only one corresponding value of #f(x)#

Explanation 1

The vertical line goes through ever point #(x_0,y)# for a constant #x_0# and all real #y#. This means that for one argument #x_0# there are infinitely many values #y# which does not fulfill the condition defining a function #y=f(x)#

Explanation 2

Other way to justify such imposibility is that for every linear function #y=mx+b# #m# is the value of tangent of angle between the graph and #X# axis.

If we graph a vertical line we see that the angle between the graph and #X# axis is #90^o#, but #tan90# does not exist therfore there is no possible value of #m# for such graph.