find the domain and range of the function shown in the graph. write the domain and range using interval notation
To find the domain and range of a function from its graph, you need to examine the x- and y-values that are included in the graph.
1. Domain: The domain of a function is the set of all possible input values (x-values) for which the function is defined. In other words, it represents the values of x for which there is a corresponding y-value on the graph.
To determine the domain:
- Examine the x-values from left to right on the graph.
- Identify the set of all possible x-values or the interval that spans the x-axis where the graph is defined.
- Exclude any values where the graph is undefined, like vertical asymptotes or holes.
2. Range: The range of a function is the set of all possible output values (y-values) that the function can take. It represents the values of y that correspond to the x-values on the graph.
To determine the range:
- Examine the y-values from bottom to top on the graph.
- Identify the set of all possible y-values or the interval that spans the y-axis where the graph is defined.
- Exclude any values where the graph is undefined, such as horizontal asymptotes or gaps.
Without a specific graph, I cannot provide the exact domain and range, but I can guide you on how to do it by looking at the graph. If you have the graph available, please describe the shape and any boundaries or restrictions.