Find the domain and range of the function.
-$$f ( x ) = ( x + 5 ) ^ { 2 } - 5$$
A) Domain: $( - \infty , \infty )$; range: $( - \infty , - 5 )$
B) Domain: $( - \infty , \infty )$; range: $[ - 5 , \infty )$
C) Domain: $( 5 , \infty )$; range: $( - \infty , \infty )$
D) Domain: $( - \infty , - 5 )$; range: $( - \infty , \infty )$

Question

Quizplus · Accepted Answer

The domain of a quadratic function is always $( - \infty , \infty )$ because you can input any real number. The vertex form of the function shows that the minimum value is $-5$, making the range $[ - 5 , \infty )$.

Find the Domain and Range of the Function f(x)=(x+5)2−5f ( x ) = ( x + 5 ) ^ { 2 } - 5f(x)=(x+5)2−5

Find the Domain and Range of the Function $f ( x ) = ( x + 5 ) ^ { 2 } - 5$