Question

Compare each of the functions shown below:

Answer 1

g(x)

x y
0 0
π over 2 4
π 0
3π over 2 −4
2π 0



h(x) = sin(x − π) + 5

Answer 2

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

Answer 3

@ganeshie8 ?

Answer 4

whats the change in y coordinate of g(x), as u go from x = 0 to x = pi/2 ?

Answer 5

it goes up by 4?

Answer 6

yes !
what about the other functions ?

Answer 7

The graph looks to go up to 2 for pi/2. Is that right? And don't know about h(x).

Answer 8

right !

Answer 9

h(x) = sin(x − π) + 5


the max rate of change for sin is 1, so this is harmless... you can conclude that f(x) has greater rate