Question

Hii I really need help with this question I don’t understand

Answer 1

So,

First, let's graph the function with equation:

`y=5\cdot4^x`

The graph of this function is something like this:

The domain of the function can be seen as the values that the x-axis takes in the graph. These values are all real numbers as you can see, since there's not restrictions for x.

The range is defined as all the values that the y-axis takes. As you can see, these are all the positive values of y. Therefore, the range is y>0.

The answer is:

`\begin{gathered} domain\colon\text{all real numbers} \\ \text{range:}\mleft\lbrace y\mright|y>0\} \end{gathered}`