Question

What is the domain and range of f(x) = 9 - 22 + 4?

a) Domain: (0, 3), Range: (4, 0)
b) Domain: (-3, 3), Range: (4, 7)
c) Domain: (-3, 3), and the range is (4, 7)
d) Domain: (0, 3), and the range is (4, 0)

Answer 1

The domain of the given function is all real numbers, while the range is the constant value -9.

Step-by-step explanation:

The function f(x) = 9 - 22 + 4 represents a constant value since there are no variables in the equation. Therefore, the function f(x) simplifies to f(x) = -9.

The domain of a constant function is all real numbers. So for the given function, the domain is (-∞, ∞).

The range of a constant function is the single number represented by the function. In this case, the range is the constant value -9.

Therefore, the correct answer is:

Domain: (-∞, ∞)

Range: {-9}