Characteristics of Logarithmic Functions

Characteristics of Logarithmic Functions

Characteristics of Logarithmic Functions $\colorOne{y=\log_{b}x}$

• The graph passes through the point $(1,0)$
• There is a vertical asymptote at $x=0$
• The domain is $x>0$
• The range is $y\in\mathbb{R}$
• The function is increasing and continuous over the interval $(0,\infin)$

$\begin{array}{|c|c|}\hline x&y\\\hline 1/4&-2\\\hline 1/2&-1\\\hline 1&0\\\hline 2&1\\\hline 4&2\\\hline \end{array}$

• The graph passes through the point $(1,0)$
• There is a vertical asymptote at $x=0$
• The domain is $x>0$
• The range is $y\in\mathbb{R}$
• The function is increasing and continuous over the interval $(0,\infin)$