Question

Very straightforward question that can easily be answered by plotting out every answer in a graphing calculator, but I don't have a graphing calculator !! Please help, thanks!

Answer 1

Step-by-step explanation

Given the function

`\begin{gathered} f(x)=√(x) \\ f(x)=√(x+1) \\ f(x)=√(10x+1) \end{gathered}`

We can find which one of the functions grows the fastest as x goes to infinity using the graphing calculator.

The blue line above represents

`f(x)=√(10x+1)`

Clearly from its nature, we can state that it grows the fastest as x goes to infinity.

Answer:

`f(x)=√(10x+1)`