Question

Graph h(x)=7 sin x ?

Answer 1

The graph of h(x) is shown below.

Explanation:

The given function is

`h(x)=7\sin x`

The general form of sine function is

`f(x)=a\sin(bx+c)+d`

Where, a is amplitude, b is period, c is phase shift and d is vertical shift.

So, the amplitude of the given function is 7, period is 1, phase shift is 0 and vertical shift is 0.

It means the minimum value of function is -7 and maximum value is 7.

Put x=0 in the given function.

`h(x)=7\sin (0)=7(0)=0`

Put
`x=-(\pi)/(2)` in the given function.

`h(x)=7\sin (-(\pi)/(2))=-7(1)=-7`

Put
`x=(\pi)/(2)` in the given function.

`h(x)=7\sin ((\pi)/(2))=7(1)=7`

Therefore the points on the function are (0,0),
`(-(\pi)/(2),-7),((\pi)/(2),7)`.

The graph of function is shown below.