For the following problems a function definition is given Yo

For the following problems a function definition is given. You must describe a domain and range that ensures it is actually a function. The range you provide need not be precisely the co-domain. m(x) = log(x). n(x) = 12 o(x) defined by the set {(1, 2), (pi, 3), (12, 3)}

Solution

(a) The domain of m(x) = log(x) is x > 0.

In interval notation , the interval notation is ( 0 , infinity )

and the range is ( -infinity , infinity ).

(b) Given that n(x) = 12 which is a constant function.

The domain of n(x) is ( -infinity , infinity )   and the range of n(x) is 12 .

(c) The set is given by O(x) = { ( 1 , 2 ) , ( , 3 ) , ( 12 , 3 ) }

Then the domain of O(x) is { 1 , , 12 } and the range of O(x) is { 2 , 3 }