Question

What is the range of the function g(x) = 3x2 - 6x + 3 when the domain is defined as the set of integers, x, such that 0<=x<=4? Show all work. I really need help y’all I have and f :(

Answer 1

the domain of this function is [0, 27]

Explanation:

One way of answering this question would be to make a table of x and y values. Your x-values would be [0, 4] (that is, all x values between 0 and 4, including end points.

x y = 3x² - 6x + 3

0 3

1 0

2 3

4 27

From this table, it appears highly likely that the smallest y value would be 0, at x = 1, and that the largest would be 27 at x = 4. Thus, the domain of this function is [0, 27].