What is the function that matches the description.

A sinusoidal function has a y-intercept at 3, midline y = 3, and maximum value of 6 and completes 3 cycles in the interval [0,2π]

f(x)=3sin3x+3

f(x)=-3sin1/3x+3

f(x)=3sin1/3x+3

f(x)=3cos3x+3

Guest Apr 2, 2020

#1**+1 **

sinx x and cosx normally have midline = 0 this one is shifted UP 3 units so it needs a +3 at the end....

all of these fit that req

y intercept at 3 means it is a sin function which normally has 0 as y-axis intercept...it is shifted up 3

3 cycles in 2 pi means the function of x is sped up three times sin (3x) (normally cycle is 1 time per 2 pi)

sin (3x) + 3

max value of 6 means it has been multiplied by 3 usually max value is 1 multiplied by 3 then equals3 then shifted up 3 = max value 6

3 sin(3x) + 3

ElectricPavlov Apr 2, 2020