What is the domain and range of #f(x)= 4#?

1 Answer
Stefan V.
Aug 16, 2015

Domain: #(-oo, + oo)#
Range: #{4}#

Explanation:

You're dealing with a constant function for which the output, i.e. the value of the function, is always constant regardless of the input, i.e. the value of #x#.

In your case, the function is defined for any value of #x in RR#, so its domain will be #(-oo, + oo)#.

Furthermore, for any value of #x in RR#, the function is always equal to #4#. This means that the range of the function will be that one value, #{4}#.

graph{y - 4 = 0.001 * x [-15.85, 16.19, -4.43, 11.58]}

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