analyzing graphs of functions\nwhich graph shows a function where f(2) = 4?

Explanation:

Step1: Recall function - value meaning

The notation (f(2) = 4) means when (x = 2), the (y) - value of the function is (4).

Step2: Check each graph

For each graph, find the point on the curve where (x = 2) and check its (y) - value.

1. In the first graph, when (x = 2), (y\neq4).
2. In the second graph, when (x = 2), (y\neq4).
3. In the third graph, when (x = 2), (y = 4).
4. In the fourth graph, when (x = 2), (y\neq4).

Answer:

The third graph.