Questions: Question 13 (1 point). For the function f whose graph is given, determine the limit. Find lim x -> 0 f(x).

Transcript text: Question 13 (1 point) . For the function $f$ whose graph is given, determine the limit. Find $\lim _{x \rightarrow 0} f(x)$.

Solution

Solution Steps

Step 1: Analyze the Graph Near x = 0

Observe the behavior of the function $ f(x) $ as $ x $ approaches 0 from both the left and the right.

Step 2: Determine the Left-Hand Limit

Examine the value that $ f(x) $ approaches as $ x $ approaches 0 from the left ($ x \to 0^- $). From the graph, as $ x $ approaches 0 from the left, $ f(x) $ approaches 5.

Step 3: Determine the Right-Hand Limit

Examine the value that $ f(x) $ approaches as $ x $ approaches 0 from the right ($ x \to 0^+ $). From the graph, as $ x $ approaches 0 from the right, $ f(x) $ also approaches 5.