SOLUTION: Graph two full periods of the function. f(x) = 2 cos(𝜋x) WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot State the amplitude, period, and midline. amplitude

Algebra ->  Trigonometry-basics -> SOLUTION: Graph two full periods of the function. f(x) = 2 cos(𝜋x) WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot State the amplitude, period, and midline. amplitude       Log On


   

Question 1203753: Graph two full periods of the function.
f(x) = 2 cos(𝜋x)
WebAssign Plot WebAssign Plot
WebAssign Plot WebAssign Plot
State the amplitude, period, and midline.
amplitude
period
midline y =

Determine the exact maximum and minimum y-values and their corresponding x-values for one period where
x > 0.
(For each answer, use the first occurrence for which
x > 0.)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=2cos%28pi%2Ax%29
f%28x%29=Acos%28B%2Ax%2BC%29%2BD
period:
periodicity of cosine is 2pi, then period is 2pi%2FB and B=pi
so, period is 2pi%2Fpi=2
amplitude A=abs%282%29
midline y+=0

Maximum y+=+2, occurs at x+=+2 on one period, x+%3E+0.
Minimum y+=+-2, occurs at x+=+1 on one period, x+%3E+0
graph:
1