Q31. The graph of a function f is provided. Determine the requested function value. Find f(3).

Background

Topic: Function Evaluation from a Graph

This question tests your ability to read a function value directly from its graph. You need to locate the input value on the x-axis and find the corresponding output value (y-coordinate).

Key Terms:

• Function: A relation that assigns exactly one output (y-value) for each input (x-value).

• Function Value: The output y for a given input x, written as f(x).

Step-by-Step Guidance

1. Locate the input value on the x-axis of the graph.

2. From , move vertically (up or down) until you reach the point where the graph intersects above $x = 3$.

3. Read the y-coordinate of this intersection point. This y-value is .

4. Check that the graph is continuous at and that there is no ambiguity (such as a hole or jump).

5. Write down the y-value you found as .

Try solving on your own before revealing the answer!