Answer to Question #267814 in Discrete Mathematics for Abhilasha

Question

1.   For the following functions, provide the domain and range

a)  f: . For each x ∈ domain f(x) = cx.

b)  g:  . For each x,y ∈ domain, g(x,y) = yxd.

Answer 1

the domain of a function is the set of inputs accepted by the function

the range of a function is the set of all output values of a function

a)

domain: $x\isin (-\infin,\infin)$

range: $f(x)\isin (-\infin,\infin)$

b)

a)

domain: $x\isin (-\infin,\infin),y\isin (-\infin,\infin)$

range: $g(x,y)\isin (-\infin,\infin)$