Characteristics of Exponential Functions

Characteristics of Exponential Functions

Characteristics of Exponential Functions $\colorOne{y=b^x}$

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

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

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