Question

.

Answer 1

it's a polynomial so the domain is all real numbers.

Answer 2

the range however is a different story, try to make an educated guess.

Answer 3

that's incorrect because think about it. 3x^2 is a parabola. +2 means f(x)+h it's shifted up by 2 units on the y axis.

let's insert x= 0

\[3(0)^2+2 = 2 \]

we realize that the smallest value y can have is 2. that means 2 is a minimum

so it must be greater than 2

y > 2

Answer 4

greater than or equal to 2