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What is the range of the function #f(x) = x^2 + 3# if the domain is {-3, 0, 3}?

1 Answer

Jun 8, 2018

range #{3,12}#

Explanation:

If the domain is restricted to #{-3, 0, 3}# then we need to evaluate each term in the domain to find the range:

#f(x) = x^2 + 3#

#f(-3) = x^2 + 3= (-3)^2 + 3=12#

#f(0) = x^2 + 3= 0^2 + 3=3#

#f(3) = x^2 + 3= 3^2 + 3=12#

So the range is #{3,12}#

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