1. The problem is to draw the function $y = a^x$ where $a > 0$ and $a \neq 1$.
2. The general form of the 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 function passes through the point $(0,1)$ because $a^0 = 1$.
4. Since the user requested to draw it, the function to plot is:
$$y = a^x$$
5. The graph will have:
- An intercept at $(0,1)$.
- No extrema (no maximum or minimum points).
6. This is the simplest form of the exponential function and the graph shows exponential growth or decay depending on $a$.
Final answer: The function to draw is $y = a^x$ with $a > 0$ and $a \neq 1$.
Exponential Function A80Ab6
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