SOLUTION: Provide two different sketches that satisfy the conditions described below. a) Three cycles of a trigonometric function with a period of 10 and amplitude of 3. The domain of the

Question 1042528: Provide two different sketches that satisfy the conditions described below.
a) Three cycles of a trigonometric function with a period of 10 and amplitude of 3. The domain of the function is -10 ≤ x ≤20, xER. State the following key features for the function: range, intercepts, maximum/minimum values, sinusoidal axis of symmetry.
Thanks :)
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The function must be:

When x = 10, 20, 30, etc
( 2*pi*x )/10 = 2pi, 4pi, 6pi, etc.
and these are periods of the sin
-----------------------------
Here's the plot:

The range is:

-------------------
The x-intercepts are:
-10, -5, 0, 5, 10, 15, 20
The y-intercept is
-------------------------
The maximums are at:
( -7.5, 3 )
( 2.5, 3 )
( 12.5, 3 )
The minimums are at:
( -5, -3 )
( 5, -3 )
( 15, -3 )
---------------------
The sine function is an odd function which
means that
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