Determine the limit by sketching an appropriate graph.
-$$\lim _ { x \rightarrow 7 ^ { + } } f ( x ) \text {, where } f ( x ) = \left\{ \begin{array} { l l }
- 2 x - 7 & \text { for } x

Question

Determine the limit by sketching an appropriate graph.
-$$\lim _ { x \rightarrow 7 ^ { + } } f ( x ) \text {, where } f ( x ) = \left\{ \begin{array} { l l } 
- 2 x - 7 & \text { for } x < 7 \
2 x - 6 & \text { for } x \geq 7
\end{array} \right.$$

A) -21 
B) 8 
C) -6 
D) -5

Quizplus · Accepted Answer

We sketch the function as shown in the graph. As $x$ approaches 7 from the right, the function approaches the value $2(7)-6 = 8$. Therefore, the limit is 8.

Determine the Limit by Sketching an Appropriate Graph A) -21 B) 8 C) -6 D) -5

Determine the Limit by Sketching an Appropriate Graph A) -21
B) 8
C) -6
D) -5