the function F(x)=-x^2+2x+6 is graphed in the xy-coordinate plane as shown

based on the graph of the function which of the following statement is true select all that apply
f is increasing on the interval x<0
f is decreasing on the interval x<0
f is increasing on the interval 0<x<1
f is decreasing on the interval 0<x<1
f is increasing on the interval 1<x<3
f is decreasing on the interval 1<x<3
f is increasing on the interval x>3
f is decreasing on the interval x>3

Based on the graph of the function, the following statements are true:

- f is decreasing on the interval x < 0
- f is increasing on the interval 0 < x < 1
- f is decreasing on the interval 1 < x < 3
- f is increasing on the interval x > 3