Question

Which function has the greatest rate of change on the interval from x = 3 pi over 2 to x = 2π?

f(x)
g(x)
h(x)
All three functions have the same rate of change.

Answer 1

f(x)

x y
0 0
pi/2 2
π 0
3 pi/2 −2
2π 0

Answer 2

h(x) = 6 sin(x) + 1

Answer 3

@ThereisnoUsername

Answer 4

@Mehek14

Answer 5

@agent0smith @satellite73

Answer 6

@ThereisnoUsername

Answer 7

\[rate~~of~~change = \frac{ f(b)-f(a) }{ b-a }\]
for each of those a = 3π/2 and b = 2π
Use the graph, formula, and chart to find the y-values for 3π/2 and 2π then put them in the formula

Answer 8

i dont understand

Answer 9

look at the chart you put up for f(x). What is y when x is 2π?

Answer 10

0 @peachpi

Answer 11

yes. and what if y when x is 3π/2

Answer 12

-2 @peachpi

Answer 13

Is this algebra for calculus?

What does "rate of change" mean to you?
What does "average rate of change" mean to you?
To compare these 3 functions, you'll no doubt have to calculate the rate of change of each one on the specified interval.

Answer 14

One thing I'd strongly suggest you do is to graph all three of the given functions on the specified interval. Then, by eye, determine which function has the greatest rate of change on that interval. You don't need calculus if you approach the problem in this way.