Find the domain and graph the function.
-$F ( t ) = \frac { | t - 1 | } { t - 1 }$

A) D: $( - \infty , 1 ) \cup ( 1 , \infty )$
B) D: $( - \infty , 1 ) \cup ( 1 , \infty )$
C) D: $( - \infty , \infty )$
D) D: $( - \infty , 0 ) \cup ( 0 , \infty )$

Question

Find the domain and graph the function.
-$F ( t ) = \frac { | t - 1 | } { t - 1 }$

A) D: $( - \infty , 1 ) \cup ( 1 > , \infty )$ 
B) D: $( - \infty , 1 ) \cup ( 1 , \infty )$ 
C) D: $( - \infty , \infty )$ 
D) D: $( - \infty , 0 ) \cup ( 0 , \infty )$

Quizplus · Accepted Answer

The function is undefined at $t=1$ because the denominator becomes zero. Therefore, the domain is $(-\infty,1)\cup(1,\infty)$. Also, notice that we have absolute value in the numerator. This means that the graph will split into two separate pieces for $t<1$ and $t>1$. For $t<1$, we have $|t-1|=1-t$, and for $t>1$, we have $|t-1|=t-1$. Therefore, the graph will be a "V" shape with a hole at $t=1$.

Find the Domain and Graph the Function F(t)=∣t−1∣t−1F ( t ) = \frac { | t - 1 | } { t - 1 }F(t)=t−1∣t−1∣​

Find the Domain and Graph the Function $F ( t ) = \frac { | t - 1 | } { t - 1 }$