12) For the function $$ f(x)=2(5)^{x} $$, describe the following: Domain: $$ \qquad $$ Range: $$ \qquad $$ Asymptote: $$ \qquad $$ Growth or Decay: $$ \qquad $$

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For the function $$ f(x) = 2 \cdot 5^{x} $$, here are the descriptions:

- **Domain:** $$ \mathbb{R} $$ (All real numbers)

$$
  \text{Domain: } (-\infty, \, +\infty)
  $$

- **Range:** $$ y > 0 $$

$$
  \text{Range: } (0, \, +\infty)
  $$

- **Asymptote:** Horizontal asymptote at $$ y = 0 $$

$$
  \text{Asymptote: } y = 0
  $$

- **Growth or Decay:** **Exponential Growth**

Since the base of the exponential function $$ 5 $$ is greater than $$ 1 $$, the function represents exponential growth.

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**Summary:**

- **Domain:** $$ (-\infty, \, +\infty) $$
- **Range:** $$ (0, \, +\infty) $$
- **Asymptote:** $$ y = 0 $$
- **Growth:** Exponential growth
- **Domain:** All real numbers - **Range:** Greater than 0 - **Asymptote:** Horizontal line at y = 0 - **Growth:** Exponential growth

12) For the function \( f(x)=2(5)^{x} \), describe the following: Domain: \( \qquad \) Range: \( \qquad \) Asymptote: \( \qquad \) Growth or Decay: \( \qquad \)

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