To find $f(-0.5)$ using the graph, let's analyze the relevant segment of the piecewise function.

Step-by-Step Analysis:

1. Identify the Segment:

   • The value $x = -0.5$ lies in the interval $-2 \leq x < 0$.
   • According to the graph, this interval corresponds to the first segment of the piecewise function, which is a horizontal line at $f(x) = 2$.

2. Evaluate $f(-0.5)$:

   • Since the function is constant in this interval, $f(-0.5) = 2$.

Answer:

$f(-0.5) = 2$

Would you like to explore further, or do you have any other questions?

Related Questions:

1. How would you calculate $f(x)$ for any $x$ in the range $0 \leq x < 2$?
2. What is $f(3)$ based on the graph?
3. How do we find the exact point where the function transitions between segments?
4. What is the slope of the function in the interval $2 \leq x \leq 4$?
5. How can we determine if $f(x)$ is continuous at $x = 2$?

Tip: When working with piecewise functions, carefully identify the interval in which your input value lies before evaluating the function.