Compare the functions below:

f(x) = 3 cos(2x − π) − 1

g(x)=
trig graph with points at 0, 0 and pi over 2, 3 and pi, 0 and 3 pi over 2, negative 3

h(x) = sin x − 4

Which function has the smallest rate of change from x = 0 to x = pi over 2?

Question

Compare the functions below:


f(x) = 3 cos(2x − π) − 1	

g(x)=
trig graph with points at 0, 0 and pi over 2, 3 and pi, 0 and 3 pi over 2, negative 3	

h(x) = sin x − 4

Which function has the smallest rate of change from x = 0 to x = pi over 2?

vocaloid · Answer

the rate of change formula from x = a to x = b is

( f(b) - f(a) )/ b - a

vocaloid · Answer

so, for each of your functions, calculate

f(pi/2) - f(0) divided by (pi/2)

vocaloid · Answer

whichever one gives you the smallest result is your answer

vocaloid · Answer

let me know if you have any additional questions

torib_2992 · Answer

Can you check my answer? I got h(x) ??

torib_2992 · Answer

@vocaloid

zootedyoungin · Answer

@_Malice_