Question

Compare the graphs of f(x)=x−−√+1 and g(x)=x−−√3+1. Which one of the following options is true?

Answer 1

[AI-generated answer — Bot GPT 3.5]

The graph of f(x)=x−−√+1 is a square root function shifted up 1 unit. It has a domain of all real numbers greater than or equal to 0 and a range of all real numbers greater than or equal to 1.

The graph of g(x)=x−−√3+1 is also a square root function shifted up 1 unit, but with a larger inside square root. This means that the graph of g(x) will be steeper than the graph of f(x).

Therefore, the correct option is: The graph of g(x)=x−−√3+1 is steeper than the graph of f(x)=x−−√+1.