What are some of the basic things about domain and range functions I should know I have midterms this Monday

Domain is all the possible x-values a function can have. For example, for the function f (x) = √x, the domain would be x ≥ 0, because you cannot square a negative number. Another example is the function g (x) = 2x. The domain of g (x) would be all real numbers, or ℝ.

Range is all possible y-values a function can have. For example, for the function f (x) = √x, the range would be f (x) ≥ 0, since the square root of a number will be positive. Another example is h (x) = x². The square of x will not be negative, so the range of h (x) will be h (x) ≥ 0.

For functions of the parent family y = a (x - h) ² + k, the domain and range will always be⇒ Domain: all real numbers, and Range: y ≥ k

For functions of the parent family y = a (x - h) ³ + k, the domain and range will always be all real numbers.

For functions of the parent family y = a√ (x - h) + k, the domain and range will always be⇒ Domain: x ≥ h, and Range: y ≥ k

For functions of the parent family y = a∛ (x - h) + k, the domain and range will always be all real numbers.