use the graph to evaluate the limit. find lim f(x) and lim f(x) x→(-1)^- x→(-1)^+ -7; -5 -5; -2 -2; -7 -7; -2

Explanation:

Step1: Analyze left - hand limit

As (x) approaches (- 1) from the left ((x\to(-1)^{-})), we look at the part of the graph to the left of (x =-1). Following the curve on the left - hand side of (x=-1), the (y) - value approaches (-7).

Step2: Analyze right - hand limit

As (x) approaches (-1) from the right ((x\to(-1)^{+})), we look at the part of the graph to the right of (x = - 1). Following the curve on the right - hand side of (x=-1), the (y) - value approaches (-2).

Answer:

D. (-7; - 2)