Consider two functions: f(x)=x2 and the function ​g(x)​ shown in the graph. Which statements are true?

Select each correct answer.

​f(x)​ is greater than ​g(x)​ on the interval (0,1) .

f(x) and ​g(x)​ are both increasing on the interval(0,∞).

​f(x)​ increases at a faster rate than ​g(x)​ does on the interval ​ (0,∞) ​.

​g(x)​ has a greater y-intercept than ​f(x)​.