Explanation
Given the function
[tex]\begin{gathered} f(x)=\sqrt{x} \\ f(x)=\sqrt{x+1} \\ f(x)=\sqrt{10x+1} \end{gathered}[/tex]
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
[tex]f(x)=\sqrt{10x+1}[/tex]
Clearly from its nature, we can state that it grows the fastest as x goes to infinity.
Answer:
[tex]f(x)=\sqrt{10x+1}[/tex]
