For the function \( y = \left(\frac{4}{3}\right)^{2x} \), the key features that are true include:
1. **Exponential Growth:** The function represents exponential growth since the base \( \left(\frac{4}{3}\right) \) is greater than 1.
2. **Asymptotic Behavior:** As \( x \) approaches positive or negative infinity, the function approaches 0, exhibiting asymptotic behavior towards the x-axis.
3. **No x-intercepts:** Since the base is positive, the function never intersects the x-axis.
4. **y-intercept:** The y-intercept occurs when \( x = 0 \), so \( y = \left(\frac{4}{3}\right)^{0} = 1 \).
5. **Increasing Function:** The function is always increasing as \( x \) increases because the base is greater than 1.
6. **Continuous:** The function is continuous for all real values of \( x \).
