answer all of the questions below about the function f(x) graphed below when x = 4. answer attempt 1 out of…

answer all of the questions below about the function f(x) graphed below when x = 4. answer attempt 1 out of 2 ∞ -∞ dne undefined lim_{x→4^{-}}f(x)= lim_{x→4^{+}}f(x)= lim_{x→4}f(x)= f(4)=

answer all of the questions below about the function f(x) graphed below when x = 4. answer attempt 1 out of 2 ∞ -∞ dne undefined lim_{x→4^{-}}f(x)= lim_{x→4^{+}}f(x)= lim_{x→4}f(x)= f(4)=

Answer

Explanation:

Step1: Find left - hand limit

As (x) approaches (4) from the left ((x\to4^{-})), we trace the graph from the left - hand side towards (x = 4). The (y) - value approaches (5). So, (\lim_{x\to4^{-}}f(x)=5).

Step2: Find right - hand limit

As (x) approaches (4) from the right ((x\to4^{+})), we trace the graph from the right - hand side towards (x = 4). The (y) - value approaches (5). So, (\lim_{x\to4^{+}}f(x)=5).

Step3: Find overall limit

Since (\lim_{x\to4^{-}}f(x)=\lim_{x\to4^{+}}f(x) = 5), then (\lim_{x\to4}f(x)=5).

Step4: Find function value

Looking at the point on the graph where (x = 4), the solid dot is at (y = 3), so (f(4)=3).

Answer:

(\lim_{x\to4^{-}}f(x)=5), (\lim_{x\to4^{+}}f(x)=5), (\lim_{x\to4}f(x)=5), (f(4)=3)