Determine Whether F Is Continuous at C$f ( x ) = \left\{ \begin{aligned} - 2 x + 3 , & x 1 \end{aligned} \right.$

Question

Determine Whether F Is Continuous at C$f ( x ) = \left\{ \begin{aligned}
- 2 x + 3 , & x < 1 \
1 , & x = 1 ; \quad c = 1 \
4 x - 1 , & x > 1
\end{aligned} \right.$

Examlex · Accepted Answer

The Answer of Determine Whether F Is Continuous at C$f ( x ) = \left\{ \begin{aligned}
- 2 x + 3 , & x < 1 \
1 , & x = 1 ; \quad c = 1 \
4 x - 1 , & x > 1
\end{aligned} \right.$

Determine Whether F Is Continuous at C $f ( x ) = \left\{ \begin{aligned}- 2 x + 3 , & x < 1 \\1 , & x = 1 ; \quad c = 1 \\4 x - 1 , & x > 1\end{aligned} \right.$

Definitions:

Determine Whether F Is Continuous at C f(x)={−2x+3,x<11,x=1;c=14x−1,x>1f ( x ) = \left\{ \begin{aligned}- 2 x + 3 , & x < 1 \\1 , & x = 1 ; \quad c = 1 \\4 x - 1 , & x > 1\end{aligned} \right.f(x)=⎩⎨⎧​−2x+3,1,4x−1,​x<1x=1;c=1x>1​

Definitions:

Determine Whether F Is Continuous at C $f ( x ) = \left\{ \begin{aligned}- 2 x + 3 , & x < 1 \\1 , & x = 1 ; \quad c = 1 \\4 x - 1 , & x > 1\end{aligned} \right.$