SOLUTION: State the domain and range of y= x^2+1. Justify your answer.

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Question 764610: State the domain and range of y= x^2+1. Justify your answer.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
+y=+x%5E2%2B1
the domain: all real numbers-no matter what you choose for x there will be unique corresponding value y
(-infinity,infinity)

the range:{ y|element R : y%3E=1 } - since we have parabola that opens up (a%3E0) and has y-intercept at y=1, means that vertex is at (0,1) and it is a global minimum
[1,infinity)

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%2B1%29+