find the domain and graph the function F(t)=-6t/|t|

Question

ganeshie8 · Answer

did u find domain yet ?

anonymous · Answer

not yet

ganeshie8 · Answer

okie, domain is all the possible values u can put into the function.

ganeshie8 · Answer

F(t)=-6t/|t|

ganeshie8 · Answer

clearly, we can put any value for t into the functoin, except 0 right ?
cuz that wud make the denominator 0, which is illegal. so whats the domain ?

anonymous · Answer

(-infinity,0) U ((0,infinity) ???

anonymous · Answer

Well, t can be 0. But mathematics as we know it today will collapse if that happens. And mathematician will go insane.

ganeshie8 · Answer

thats right, $\large    \color{red}{\checkmark}$
next graph the function

ganeshie8 · Answer

$ F(t)=-6t/|t| $

remove the absolute bars, by splitting it into pieces :-
for x < 0, F(t) = ?
for x > 0, F(t) = ?

ganeshie8 · Answer

$$F(t) = \left\{
  \begin{array}{lr}
    6 & : x < 0\
    -6 & : x > 0
  \end{array}
\right.
$$

anonymous · Answer

Got it. Thanks!

ganeshie8 · Answer

does that make sense ?

ganeshie8 · Answer

np :) and careful t = 0 is undefined here, so u must show a hole for t = 0 in graph