To find $f(1)$, we need to evaluate the function $f(x)$ at $x = 1$.

Analyzing the Graph of $f(x)$

The graph provided represents $f(x)$ as a straight line, indicating that it is a linear function. Observing where the line crosses the y-axis (y-intercept) and its slope can help confirm the value of $f(1)$.

1. From the graph, locate $x = 1$ on the x-axis.
2. Check the corresponding y-value on the graph for this x-coordinate.

Solution

Upon examining the graph, at $x = 1$, the y-value (or $f(1)$) appears to be 1.

Thus, $f(1) = 1$

Would you like further details or have any questions about this solution?

Additional Questions:

1. How can we determine the equation of the line $f(x)$ from the graph?
2. What is the significance of the slope in this linear function?
3. How would we find $f(x)$ values for other points not shown in the table?
4. What would $f(x)$ look like if it were a quadratic function instead?
5. Can we use similar methods to find $g(x)$ or $h(x)$ values for specific x-values?

Tip:

For linear functions, knowing the slope and y-intercept allows you to write the equation of the line, which can simplify finding values like $f(x)$ for any x