Answer:
![\Large \boxed{\mathrm{A , \ B, \ and \ E}}](https://img.qammunity.org/2020/formulas/mathematics/high-school/9l61biln3vc463k9cfdoxox60fbi3l4tae.png)
Explanation:
![F(x)=2 \cdot 5^x](https://img.qammunity.org/2020/formulas/mathematics/high-school/xa1ksxl677wurhaoch0mrezgm2rsd1d7j0.png)
There are no restrictions on x. The domain is all real numbers.
To find the y-intercept, we set the x value to 0. The y-intercept of the function is (0, 2).
The function is increasing, because as the value of the input increases, the value of the output increases as well.