Which statement about a function is true? (i) For each value of x in the domain, there corresponds one value of y; (ii) for each value of y in the range, there corresponds one value of x. Explain.

Step-by-step solution Step 1 of 1 Two given statements: (i) For each value of the x in the domain, there corresponding one value of y; (ii) For each value of the y in the range, there corresponding one value of x; First one is the correct according to the definition of the function: A function is a rule that for each value of the independent variable in the domain, a unique value if the dependent variable in the range. So if for one value in domain we have more than one value in the range, the relation is not a function. We conclude that for each value of the independent variable (x) in the domain, a unique or only a single value of dependent variable (y) but vice versa is not true. If more than one value of x in domain correspond to one value of f(x) in the range, the relation is a function.