How do you find the domain and range of #x= -7#?

Redirected from "Suppose that I don't have a formula for #g(x)# but I know that #g(1) = 3# and #g'(x) = sqrt(x^2+15)# for all x. How do I use a linear approximation to estimate #g(0.9)# and #g(1.1)#?"
1 Answer
Dec 5, 2017

See a solution process below:

Explanation:

The equation #x = -7# is a vertical line where for each and every value of #y#, #x# equals #-7#.

There Domain is the scope of values the variable #x# can have. In this equation the only value #x# can have is #-7#. Therefore the Domain of this equation is #{-7}#

The Range is the set of values the #y# variable can be. In this case the #y# variable can be any and all Real Numbers. Therefore the Range for this function is the set of all Real Numbers: #{RR}#