The graph shows a semicircle, with endpoints approximately at $(-5, 5)$ and $(5, 5)$, and the top of the curve reaching close to $y = 10$.

To determine the domain and range of this semicircle:

1. Domain: The domain represents the possible $x$-values of the function. From the graph, it spans from $x = -5$ to $x = 5$. Thus, the domain is: $-5 \leq x \leq 5$

2. Range: The range represents the possible $y$-values of the function. Since the semicircle starts at $y = 5$ (bottom) and reaches up to $y = 10$ (top), the range is: $5 \leq y \leq 10$

Summary:

• Domain: $[-5, 5]$
• Range: $[5, 10]$

Would you like further details or have any other questions?

Related Questions:

1. What is the equation of a circle that matches this graph?
2. How do you determine the radius of this semicircle?
3. How would the domain and range change if the semicircle were flipped?
4. What would the full circle's domain and range be if the entire circle were shown?
5. How can we find the center of the circle from this semicircle?

Tip:

For a semicircle, the domain is typically the horizontal span, while the range is the vertical span of the graph.