1. Let's understand what asymptotes mean in the context of exponential functions.\n\n2. An exponential function typically has the form $f(x) = a^x$ with base $a > 0$ and $a \neq 1$.\n\n3. The graph of an exponential function approaches but never touches the x-axis as $x \to -\infty$ (if $a > 1$), which means the x-axis is a horizontal asymptote.\n\n4. However, exponential functions are generally not asymptotic to the y-axis; the y-axis (or $x=0$ line) is not an asymptote because the function value at $x=0$ is $f(0) = 1$, and it does not tend to infinity or zero there.\n\n5. Therefore, among the statements: \n- "Exponential functions are asymptotic to x-axis" is true.\n- "Exponential functions are asymptotic to y-axis" is false.\n- "Exponential functions are asymptotic to both x-axis and y-axis" is false.\n- "Exponential functions are not asymptotic to many axis" is false because they are asymptotic to the x-axis.\n\nFinal answer: **Exponential functions are asymptotic to the x-axis.**