Domain: All real numbers except for x=−1.
Range: All real numbers greater than or equal to −1.
Function: Yes.
The domain of a function is the set of all possible input values that the function can accept. The range of a function is the set of all possible output values that the function can produce.
A function is a relation between two sets where each input value corresponds to exactly one output value.
The graph of the function in the image shows that the function can accept all real numbers as input except for x=−1.
This is because the graph has a vertical asymptote at x=−1, which means that the function cannot produce a value at x=−1.
The range of the function is all real numbers greater than or equal to −1. This is because the graph of the function never dips below y=−1.
The graph of the function also shows that each input value corresponds to exactly one output value. This means that the function is a function.