I have a graph, y=g(x). If g(2)=k, which of the following could be the value of g(k).

How do I go about this?

I don't have any additional details...?

I have a graph, y=g(x). If g(2)=k, which of the following could be the value of g(k).

How do I go about this?

I don't have any additional details...?

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Hello Amy,

This type of question is usually accompanied by a graph. This is how you can go about solving it, given the graph.

It is given that g(2)=k.

Step 1. Draw a line parallel to the y-axis, from the point x=2 on the x-axis (2,0). Mark the point at which this line intersects the given curve.

Step 2. From this point draw a line parallel to the x-axis intersecting the y-axis at a point. This point is (0,k). So from the graph you know the value of k.

Step 3. Repeat step 1 using x=k on the x-axis; That is, (k,0)

Step 4. Repeat step 2 to find out the point of intersection on the y-axis. This is your value of g(k).

Based on the options given, choose the one closest to the value you get.

Let me know if you have further questions.

Good Luck with your prep !