Consider two functions: g(x)=2x and the quadratic function f(x) that opens up with vertex at the origin and passes through the point (1,2) . which statements are true?
select each correct answer.

f(1) is equal to g(1) .
the average rate of change of f(x) is greater than g(x) on the interval [0, 1] .

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

f(x) is less than g(x) on the interval (0,1)