The area A (in square meters) of a rectangular garden with a fixed perimeter is given by the quadratic function A(x) = -x² + 12x, where x represents the length of one side. What is the maximum area that can be obtained?

Which of the following is a quadratic equation in a variable x?

Consider the function f(x) = \sqrt{ \frac{10-x}{x+11}} . What is the domain of f(x)?

Consider the function f(x) = \sqrt{(3x-2)} . Which of the following options correctly represents the domain and range of the function?

Consider the relation given by the equation y = 2x - 3. The relation of a function with a domain and codomain is specified as follows:

Domain: {0, 1, 2, 3, 4, 5}

Codomain: {-5, -3, -1, 1, 3, 5}

Which of the following statement is correct?

The quadratic function g(x) = 3x² + 6x + 3 has y-intercept. What is the y-intercept of g(x)?

Consider the relation y = f(x), where f(x) is defined as follows:

f(x) = sqrt (x + 5)

Domain:

x ≥ -5