Let's analyze the given graph and solve the two tasks:

1. Find $f(0)$:

   • To find $f(0)$, we need to identify the value of the function when $x = 0$. From the graph, when $x = 0$, the function $f(x)$ intersects the y-axis at $y = 2$.
   • Therefore, $f(0) = 2$.

2. Find $x$ such that $f(x) = -5$:

   • To find the value of $x$ when $f(x) = -5$, we need to locate the point on the graph where the function equals $-5$ on the y-axis.
   • From the graph, $f(x) = -5$ corresponds to $x = -1$.

Summary:

• $f(0) = 2$
• $f(x) = -5$ when $x = -1$

Would you like more details or have any questions?

Here are 5 related questions to expand this topic:

1. What is the general shape and behavior of this type of function?
2. How can you determine the domain and range of this function from the graph?
3. What does the slope of the curve tell you about the rate of change of the function?
4. How can we use this graph to estimate other values of $f(x)$?
5. Can we find if the function has any asymptotes or discontinuities from this graph?

Tip: Always check both the $x$- and $y$-coordinates carefully when interpreting graphs, especially for precise function values.