Answer:
1. " second picture"
2. The graph of h(x) is shown below.
Step-by-step explanation:
The given function is
h(x)=7\sin xh(x)=7sinx
The general form of sine function is
f(x)=a\sin(bx+c)+df(x)=asin(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)=0h(x)=7sin(0)=7(0)=0
Put x=-\frac{\pi}{2}x=− 2ππ in the given function.
h(x)=7\sin (-\frac{\pi}{2})=-7(1)=-7h(x)=7sin(−2π )=−7(1)=−7
Put x=\frac{\pi}{2}x= 2π in the given function.
h(x)=7\sin (\frac{\pi}{2})=7(1)=7h(x)=7sin( 2π )=7(1)=7
Therefore the points on the function are (0,0), (-\frac{\pi}{2},-7),(\frac{\pi}{2},7)(− 2π ,−7),( 2π,7) .
The graph of function is shown below.
"Hope this helps"
