What is the domain and range for the function below

Question

y = 6x² + 3x +1

Answer 1

The graph of y = 6x² + 3x + 1 is a parabola opening upward. The x-coordinate of the vertex (lowest point ) is

-3/ (2(6)) = -1/4 and the y-coordinate is 6(-1/4)² + 3(-1/4) + 1 = 5/8

Range = [5/8, ∞) There are no restrictions on x, so the domain is (-∞, ∞).

Answer 2

domain is -∞<x<∞

range is -∞<f(x)<∞