Question

Question 6 of 46 Which of the following represents the domain and range for the logarithmic function below? F(x) = logx3

Answer 1

To determine the domain and range for the logarithmic function below

`f(x)=\log _3x`
`\begin{gathered} f(x)=\log _3x \\ \text{ Domain of }\log _3x\text{ = }\begin{bmatrix}\mathrm{Solution\colon}\: & \: x>0\: \\ \: \mathrm{Interval\: Notation\colon} & \: \mleft(0,\: \infty\: \mright)\end{bmatrix} \end{gathered}`

The domain of a function is a set of input or argument values for which the function is real and defined,

Therefore the positive values of log : > 0

`\begin{gathered} \text{function of the domain } \\ x>0 \end{gathered}`[tex]\begin{gathered} f(x)=\log _3x \\ R\text{ange of }\log _3x\text{ = }\begin{bmatrix}\mathrm{Solution\colon}\: & \: -\infty\: The set of values of the dependent variables for which the function is defined

Therefore the range of the function is

[tex]-\inftyHence the correct answer is Option D