The graph shows a function that starts at a point around (-3, -2) and continues to increase to the right.

Domain

The domain of a function is the set of all possible x-values for which the function is defined. From the graph:

• The function starts at $x = -3$ and extends infinitely to the right.

Thus, the domain in interval notation is: $\text{Domain: } [-3, \infty)$

Range

The range of a function is the set of all possible y-values that the function can take. From the graph:

• The function starts at $y = -2$ and continues to increase upward without bound.

Thus, the range in interval notation is: $\text{Range: } [-2, \infty)$

Would you like more details or have any questions? Here are some related questions:

1. What is the importance of knowing the domain and range of a function?
2. How do we determine if a function is continuous based on its graph?
3. What are some common types of functions that have similar domain and range characteristics?
4. How can we use the graph to find the function's inverse, if it exists?
5. What transformations could have been applied to obtain this function's graph from a simpler base function?

Tip: Always check for any restrictions in the function's domain, such as division by zero or taking the square root of a negative number.