Use the graph to evaluate the indicated limit and function value or state that it does not exist.
-Find
A) 6; 0
B) Does not exist; 6
C) 0; does not exist
D) 0; 6

Question

Use the graph to evaluate the indicated limit and function value or state that it does not exist.
-Find  
A) 6; 0 
B) Does not exist; 6 
C) 0; does not exist 
D) 0; 6

Quizplus · Accepted Answer

We can see from the graph that as x approaches 2 from the left, f(x) approaches 0, and as x approaches 2 from the right, f(x) approaches 6. Therefore, the limit as x approaches 2 of f(x) exists and is equal to 6-0=6. Additionally, we can see that f(3) = 6, so the function value at x=3 is also 6. From the graph, we can see that the limit as x approaches 2 from the left is 0, and the function value at x=2 is 6. Therefore, the correct choice is D.

Use the Graph to Evaluate the Indicated Limit and Function