What are the domain and range of the function y = - 2 (x - 4) ² + 1?

Answer: Domain: x = All Real Numbers (-∞, ∞)

Range: y ≤ 1 (-∞, 1]

Step-by-step explanation:

y = - 2 (x - 4) ² + 1

The equation is in vertex form → vertex = (4, 1)

The leading coefficient is negative so it will be a max at y = 1

Range: y ≤ 1.

This is a polynomial so there are no restrictions on x.

Domain: x = All Real Numbers