Solution:
1. Understand the function:
- The function f(x) = 5 is a constant function. This means that for every value of x, the function outputs the same value, which is 5.
2. Sketch the graph:
- The graph of the function f(x) = 5 is a horizontal line because the output does not depend on x.
- For any value of x (e.g., -3, 0, 2), f(x) is always 5.
3. Graphically:
- The horizontal line will intersect the y-axis at the point (0, 5).
- The line extends infinitely in both the positive and negative directions along the x-axis.
4. The graph of the function:
- A horizontal line that passes through all points where y = 5.