Compare the given graphs of f(x)=2x−−√ and g(x)=2x−−√3 and determine which of the following is true. (1 point) Responses
Both graphs go through −(−1,1), (0,0), and (1,1).
The graphs have different domains.
When x>1, the function g(x)=2x−−√3 is greater than f(x)=2x−−√.
They are both decreasing on their domains.
Both graphs go through the points (-1,1), (0,0), and (1,1). This is true because plugging in these x-values into the functions will give the corresponding y-values.
The graphs have the same domain, which is all real numbers because both functions can take any value of x.
When x>1, the function g(x)=2x−−√3 is greater than f(x)=2x−−√. This is true because for any value of x greater than 1, plugging into both functions will result in a larger value for g(x) than f(x) due to the constant term of √3.
They are both decreasing on their domains. This is not true. Both functions, f(x) and g(x), have a positive coefficient in front of the x-term, which means they are both increasing functions.