SOLUTION: Draw, on separate diagrams, the following graphs for the interval 0 ≤ x ≤ π. For each function, write down the amplitude, the period and the coordinates of the maximum and mi

Algebra ->  Test  -> Lessons -> SOLUTION: Draw, on separate diagrams, the following graphs for the interval 0 ≤ x ≤ π. For each function, write down the amplitude, the period and the coordinates of the maximum and mi      Log On


   

Question 1190407: Draw, on separate diagrams, the following graphs for the interval 0 ≤ x ≤ π. For each function,
write down the amplitude, the period and the coordinates of the maximum and minimum points.
a) y = 1 + sin 2x
b) y = 3 cos1/2x
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

a)
y+=+1+%2B+sin+%282x%29 for the interval 0+%3C=+x+%3C=+pi

download
the amplitude: 1
the period:2pi%2F2=pi
the coordinates of the maximum points:(pi%2F4,2)

the coordinates of the minimum points:(3pi%2F4,0)


b)
y+=+3cos%28%281%2F2%29x%29
download-2
the amplitude: 3
the period:2pi%2F%281%2F2%29=4pi
maximum: (0,3)
minimum : no

Answer by ikleyn(52751) About Me  (Show Source):
You can put this solution on YOUR website!
.

This my post is a necessary correction to part (b) of the post by @MathLover1.

The minimum of the given function in the given interval is 0 (zero).