31.3k views
4 votes
What are the domain and range of the function y = –2(x – 4)² + 1?

User Wobbles
by
3.9k points

1 Answer

3 votes

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

Range: y ≤ 1 (-∞, 1]

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

User Tylon
by
4.3k points