Which of the following is true? If f(x)= ln x,then
A) both the domain and the range of f are all real numbers.
B) both the domain and the range of f are all positive real numbers.
C) the domain of f is all positive real numbers and the range is all real numbers.
D) the domain of f is all real numbers and the range is all positive real numbers.
E) the domain of f is all real numbers except zero and the range is all real numbers.

Question

Quizplus · Accepted Answer

The domain of the function is all positive real numbers since natural logarithm (ln) is only defined for positive numbers. The range of the function is all real numbers because ln x approaches negative infinity as x approaches 0 and approaches positive infinity as x approaches infinity, implying that the function spans all real numbers.

Which of the Following Is True? If F(x)= Ln X,then