Let's analyze the graph and solve the given questions.

1. Evaluate $f(1)$:

   • To find $f(1)$, we need to look at the value of the function $f(x)$ when $x = 1$.
   • From the graph, locate $x = 1$ on the x-axis, then find the corresponding $y$-value on the curve.
   • It looks like $f(1) = 2$.

2. Solve $f(x) = 1$:

   • To find $x$ when $f(x) = 1$, we need to find the $x$-value(s) where the function intersects the line $y = 1$.
   • From the graph, trace the horizontal line $y = 1$ and see where it intersects the curve.
   • The intersections appear to be at $x = 2$ and $x = 3$.

So, we have:

• $f(1) = 2$
• $f(x) = 1$ at $x = 2$ and $x = 3$.

Would you like any further details or explanations? Here are some related questions for further exploration:

1. What is the value of $f(-2)$?
2. Determine the x-intercept of the function.
3. Find the value of $x$ when $f(x) = 4$.
4. Identify the range of the function from the graph.
5. How does the function behave as $x$ approaches 5?

Tip: Always double-check the graph to ensure you are reading the values correctly, as visual approximations can sometimes be misleading.