Give the domain and range of the relation.
-$$y = x ^ { 2 } + 1$$
A) domain: $( - \infty , \infty )$; range: $( - 1 , \infty )$
B) domain: $( - \infty , \infty )$; range: $[ 1 , \infty )$
C) domain: $( - 1 , \infty )$; range: $( - \infty , \infty )$
D) domain: $( 1 , \infty )$; range: $( - \infty , \infty )$

Question

Quizplus · Accepted Answer

The domain of $y = x^2 + 1$ is all real numbers $( - \infty , \infty )$ because you can plug any real number into the equation for $x$. The range is $[1, \infty)$ because the smallest value $y$ can be is 1 (when $x = 0$), and it increases without bound as $x$ moves away from 0 in either direction.

Give the Domain and Range of the Relation y=x2+1y = x ^ { 2 } + 1y=x2+1

Give the Domain and Range of the Relation $y = x ^ { 2 } + 1$