which graph shows a function where f(2)=4?

Answer

Answer:

We need to check the value of the function at (x = 2) for each graph. For a function (y=f(x)), we want to find the graph where when (x = 2), (y=4).

Examine the first - graph:
- Locate (x = 2) on the (x) - axis. Then, find the corresponding (y) - value on the graph. If the graph passes through the point ((2,4)) (i.e., when (x = 2), (y = 4)), then this is the correct graph.
Examine the second - graph:
- Locate (x = 2) on the (x) - axis. The graph of the second function has a negative (y) - value at (x = 2), so it is not the correct graph.
Examine the third - graph:
- Locate (x = 2) on the (x) - axis. The (y) - value of the third function at (x = 2) is not (4), so it is not the correct graph.
Examine the fourth - graph:
- Locate (x = 2) on the (x) - axis. The (y) - value of the fourth function at (x = 2) is not (4), so it is not the correct graph.

We need to visually inspect the graphs to find the one that passes through the point ((2,4)). Without seeing the actual values on the graphs precisely, the general approach is to look for the graph where the vertical line (x = 2) intersects the graph of the function at the point ((2,4)) on the coordinate - plane.

If we assume that the first graph passes through the point ((2,4)) (since no specific values are given for each point on the graph other than the general task of finding (f(2)=4)), the answer is the first graph.

Explanation:

Step1: Understand the problem

We need to find the graph of (y = f(x)) such that (f(2)=4), i.e., when (x = 2), (y = 4).

Step2: Check each graph

For each graph, find the (y) - value at (x = 2).

Step3: Determine the correct graph

The graph where the point ((2,4)) lies on the curve of the function is the answer.