How do you find the domain and range of #f(x)=x^2+5#?

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Answer 1 · 2018-07-03T05:23:20

The domain is #x in RR#. The range is #y in [5, +oo)#

The function is

#y=x^2+5#

This is a polynomial function, #x# can take any value.

Therefore, the domain is #x in RR#

The minimum value of #y# is when #x=0#

#=>#, #y=5#

And due to the presence of #x^2#, #y# can take only positive values as

#(-x)^2=x^2#

Therefore, the range is #y in [5, +oo)#

graph{x^2+5 [-56.73, 60.37, -20.6, 37.95]}