Find the domain and range of the function.
-$$f ( x ) = x ^ { 2 } + 8$$
A) Domain: $( - 8 , \infty )$; range: $( - \infty , \infty )$
B) Domain: $( 8 , \infty )$; range: $( - \infty , \infty )$
C) Domain: $( - \infty , \infty )$; range: $[ 8 , \infty )$
D) Domain: $( - \infty , \infty )$; range: $( - 8 , \infty )$

Question

Quizplus · Accepted Answer

The domain of a quadratic function is all real numbers $( - \infty , \infty )$, because you can input any real number into the function. The range is $[ 8 , \infty )$ because the lowest value the function can take is when $x = 0$, which gives $f(x) = 0^2 + 8 = 8$, and it increases without bound for positive and negative values of $x$.

Find the Domain and Range of the Function f(x)=x2+8f ( x ) = x ^ { 2 } + 8f(x)=x2+8

Find the Domain and Range of the Function $f ( x ) = x ^ { 2 } + 8$