The function $f(x) = 0.3^x$ is an exponential function with a base less than 1, which means it decays as $x$ increases.

To complete the sentence:

The graph of the function $f(x) = 0.3^x$ has a:

• y-intercept at $(0, 1)$ because $f(0) = 0.3^0 = 1$.
• horizontal asymptote at $y = 0$, as the function approaches zero but never actually reaches it when $x \to \infty$.

Would you like more details on how exponential functions work?

Here are 5 questions to expand on this:

1. How do you find the y-intercept of any exponential function?
2. What is the significance of the base in exponential functions?
3. How does the graph of $f(x) = a^x$ change when $0 < a < 1$?
4. Can you explain why the horizontal asymptote is always at $y = 0$ for these types of functions?
5. What happens to the graph of $f(x) = 0.3^x$ as $x$ becomes negative?

Tip: In exponential functions, if the base is between 0 and 1, the function represents exponential decay.