Question

Graph h(x)=7 sin x ?

Answer 1

A sine function is a trigonometric function. If you want to sketch the graph of the basic sine function, keep in mind the key points in one period: the intercepts, maximum points, and minimum points. So the graph of
`h(x)=7sinx` is shown in the figure below.

The intercepts:

`(0,0), (\pi,0) \ and \ (2\pi,0)`

Maximum point:

`((\pi)/(2),7)`

Minimum point:

`((3\pi)/(2),-7)`

Period:

`2\pi`

Amplitude:

`7`