Graph the function.
-$$\mathrm { F } ( \mathrm { x } ) = \left\{ \begin{array} { l l }
4 - \mathrm { x } , & \mathrm { x } \leq 2 \
1 - 3 \mathrm { x } , & \mathrm { x } 2 \

\end{array} \right.$$

Question

Graph the function.
-$$\mathrm { F } ( \mathrm { x } ) = \left\{ \begin{array} { l l } 
4 - \mathrm { x } , & \mathrm { x } \leq 2 \
1 - 3 \mathrm { x } , & \mathrm { x } > 2 \

\end{array} \right.$$

Quizplus · Accepted Answer

For $x \leq 2$, the function decreases linearly from $4$ to $2$. At $x=2$, there is a discontinuity or "hole" in the graph, and the function switches to a different linear equation, decreasing at a steeper rate from $1$ to $-\infty$ as $x$ approaches $\infty$. The graph of the function should look like a diagonal line segment with a hole in the middle. Choice B is the only one that matches this description.

Graph the Function A) B) C) D)

Graph the Function A)

B)

C)

D)