The table of values represents the function ​​ g(x) and the graph shows the function ​f(x)​.

The firstm, third, and last statement are true.

max(g(x)) = 4 and max(f(x)) = 2, so the first statement is true.

One of the x-intercepts of g(x) is 5, while one of the x-intercetps of f(x) is also 5, so the second statement is true.

When x=0, g(x) = 3 and f(x) = -1. That means the y-intercept of f(x) is smaller than that of g(x). That means the third statement is false.

f(x) has 2 x-intercepts, while g(x) also has 2 x-intercepts. Therefore the fourth statement is false.

Conclusion: Only the first and the second statements are true.