Let's go through the choices.
A. The average rate of change of f is slower than g on [0,2]
[tex]\dfrac{f(2)-f(0)}{2} = (5-2)/2=3/2[/tex]
[tex]\dfrac{g(2)-g(0)}{2} = (1 -2 )/2 - -1/2[/tex]
This one is FALSE.
B. Both have positive x intercepts. We're not really given f's x intercept, aka zero. FALSE.
C. f is increasing, g decreasing. TRUE. It looks like g goes flat but it never really does.
D. f(0)=2, g(0)=2, the y intercepts are equal, FALSE
Answer: C
