1. The problem is to graph the function $y = a^x$ where $a > 0$ and $a \neq 1$. 2. The general form of an exponential function is $y = a^x$, where $a$ is the base and $x$ is the exponent. 3. Important rules: - If $a > 1$, the function is increasing. - If $0 < a < 1$, the function is decreasing. - The graph passes through the point $(0,1)$ because $a^0 = 1$. - The $x$-axis ($y=0$) is a horizontal asymptote. 4. To graph, plot key points such as $(0,1)$, $(1,a)$, and $(-1, \frac{1}{a})$. 5. Connect these points smoothly, showing the exponential growth or decay. Final answer: The graph of $y = a^x$ with $a > 0$ and $a \neq 1$ is an exponential curve passing through $(0,1)$, increasing if $a > 1$, decreasing if $0 < a < 1$, with horizontal asymptote $y=0$.