The function is $\"\"$

The standard form of the sin function is $\"\"$

Where A = amplitude, B = angular frequency

$\"\"$

B = 1

Amplitude $\"\"$

Period $\"\"$

Phase shift $\"\"$

The amplitude is 3 and the period is $\"\"$ .

$\"\"$

The interval is $\"\"$ corresponds to one cycle of the graph.

Class interval $\"\"$ , a = first value, b = second value and n = number of terms.

$\"\"$

When dividing this interval into four equal parts produces the key points.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

(1) Draw a coordinate plane.

(2) Plot the maximum point , minimum point and intercepts

(3) Connect these point with a smooth curve.

$\"\"$

Compared with the graph of $\"\"$ , the graph of $\"\"$ is shifted downward two units.

$\"\"$

Observe the graph the maximum point at $\"\"$ and minimum point at $\"\"$

Therefore, range $\"\"$