Question

Compare the graphs of f(x)=2 square root x+1 and g(x)=2 square root x+1 . What is the y-intercept of both graphs?

Answer 1

It seems there's a misunderstanding in your question. You are asking to compare the graphs of two functions, \( f(x) \) and \( g(x) \), but you have provided them as the same function:

\[
f(x) = 2\sqrt{x} + 1
\]
\[
g(x) = 2\sqrt{x} + 1
\]

Since both functions are identical, their graphs will also be the same.

To find the y-intercept of the function \( f(x) = 2\sqrt{x} + 1 \), we need to evaluate the function at \( x = 0 \):

\[
f(0) = 2\sqrt{0} + 1 = 0 + 1 = 1
\]

The y-intercept of the graph of both functions (which are the same) is \( (0, 1) \).

Therefore, the y-intercept of both graphs is \( 1 \).