Final answer:
To find the domain and range of a function given its graph, examine the x-values and y-values of all points. For a continuous function, consider the entire graph. For a discrete function, look at individual points. If given the equation, consider restrictions and possible output values.
Step-by-step explanation:
To find the domain and range of a function given its graph, you need to examine the x-values (input) and y-values (output) of all the points on the graph. The domain is the set of all possible x-values that the function can take, while the range is the set of all possible y-values.
If the function is continuous, you can determine the domain and range by looking at the entire graph. However, if the function is discrete, you need to consider the individual points on the graph. For the domain, look at the lowest and highest x-values on the graph. For the range, find the lowest and highest y-values on the graph.
If you are given the equation defining the function instead of its graph, you can still find the domain and range by examining the equation. The domain will be the set of all valid x-values that satisfy any restrictions in the equation (such as dividing by zero or taking the square root of a negative number). The range will be the set of all possible y-values that can be attained by plugging in valid x-values into the equation.