Find the domain and range of the quadratic function whose graph is described.
-The minimum is $- 6$ at $x = - 1$.
A) Domain: $( - \infty , \infty )$
Range: $[ - 6 , \infty )$
B) Domain: $[ - 1 , \infty )$
Range: $[ - 6 , \infty )$
C) Domain: $( - \infty , \infty )$
Range: $[- \infty , -\ 6] $
D) Domain: $( - \infty , \infty )$
Range: $[- \ 1 , \infty ] $

Question

Find the domain and range of the quadratic function whose graph is described.
-The minimum is $- 6$ at $x = - 1$.
A) Domain: $( - \infty , \infty )$
Range: $[ - 6 , \infty )$ 
B) Domain: $[ - 1 , \infty )$
Range: $[ - 6 , \infty )$ 
C) Domain: $( - \infty , \infty )$
Range: $[- \infty , -\ 6] $
D) Domain: $( - \infty , \infty )$ 
Range: $[- \ 1 , \infty ] $

Quizplus · Accepted Answer

The domain of any quadratic function is all real numbers, $( - \infty , \infty )$, because you can input any real number into the function. The range is determined by the vertex, which in this case is a minimum at $-6$, meaning the function's output values start at $-6$ and increase without bound, hence $[ - 6 , \infty )$.

Find the Domain and Range of the Quadratic Function Whose −6- 6−6

Find the Domain and Range of the Quadratic Function Whose $- 6$