find domain and range for the function:f (x)=x-6

Question

Find the domain and range:

 

Also, is there all real numbers in domain or range or both.

Answer 1

Domain is the list of inputs or x-values that make sense in the context of the function. Since this function has no context and you can safely subtract 6 from any real number, there is no restriction on the values.
Therefore, the domain would be: {all real numbers}

Range is the list of outputs or C-values that make sense in the context of the function. Since this function has no context and you can safely subtract 6 from any real number, there is no restriction on the values.
Therefore, the range would be: {all real numbers}

So the answer to your question is both are all real numbers.

Answer 2

y=x - 6 is a straight line with a slope of 1 and a y-intercept of -6.

 

Thus, the domain and range is all real numbers for both of them.