For the function f whose graph is given, determine the limit.
-$$\text { Find } \lim _ { x \rightarrow 1 ^ { - } } f ( x ) \text { and } \lim _ { x \rightarrow 1 ^ { + } } f ( x ) \text {. }$$

A) -2; -7
B) -7; -2
C) -7; -5
D) -5; -2

Question

For the function f whose graph is given, determine the limit.
-$$\text { Find } \lim _ { x \rightarrow 1 ^ { - } } f ( x ) \text { and } \lim _ { x \rightarrow 1 ^ { + } } f ( x ) \text {. }$$

A) -2; -7 
B) -7; -2 
C) -7; -5 
D) -5; -2

Quizplus · Accepted Answer

As x approaches 1 from the left side, it is clear that the graph approaches the point (1,-2), so $\lim_{x\rightarrow1^-}f(x)=-2$. As x approaches 1 from the right side, the graph approaches the point (1, -7), so $\lim_{x\rightarrow1^+}f(x)=-7$. Therefore, the correct choice is (A).

For the Function F Whose Graph Is Given, Determine the Limit