Find the domain and range of the function f(x) = x2 + 3

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 13T: Find the domain of the function f(x)=142xx2
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Find the domain and range of the function f(x) = x2 + 3

Expert Solution
Step 1

The given function is fx=x2+3.

To find: the domain and range.

Solution:

The function is fx=x2+3,

and the domain of a function is the value of x for which  the function is defined.

So here, function is defined for every value of x

hence, the domain of the given function is the  complete real numbers.

Now the range of the function is the value of the function for each value of domain as,

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