Question

What is the domain and range of the function?

1) (-[infinity], -1)
2) (-[infinity], [infinity])
3) (-1, [infinity])
4) [-1, [infinity])

Answer 1

The domain and range of a function are described by the set of possible input and output values. In this case, the correct answer is option 4 [-1, ∞), which represents a function with a domain of any real number greater than or equal to -1, and a range of any real number.

Step-by-step explanation:

The domain and range of a function describe the set of possible input values (domain) and output values (range) for that function. In this case, the given options represent different possibilities for the domain and range.

1. Option 1 (-∞, -1) represents a function where the domain consists of all real numbers less than -1, and the range can be any real number.
2. Option 2 (-∞, ∞) represents a function where the domain consists of all real numbers, and the range can be any real number.
3. Option 3 (-1, ∞) represents a function where the domain consists of all real numbers greater than -1, and the range can be any real number.
4. Option 4 [-1, ∞) represents a function where the domain consists of all real numbers greater than or equal to -1, and the range can be any real number.

Based on these options, the correct answer would be option 4 [-1, ∞). This means that the domain of the function can be any real number greater than or equal to -1, and the range can be any real number.