The graph of f(x) = –3(x – 1)2 + 4 is shown on the left. Which interval defines the domain of the function? (-∞, 4) (-∞, 4] (-∞, ∞) [4, ∞)

C

Step-by-step explanation:

The graph can take any value of X

-3[ x^2 - 2x + 1] + 4

-3x^2 +6x -3 + 4

-3x^2 + 6x + 1

x can take any value of real numbers and there would be a solution

Hence all real numbers is the domain.

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are