The graph for f(x) = sin x <span>is a sinusoidal graph.
</span>f(x) = 2 sin 4x
has an amplitude of 2 or the highest point is 2 and a period of
Period = 3π/4 = π/3
f(x) = 2 sin 4x + 3
<span>the graph is shifted 3 points upward.
</span>
F(x)=2x-3
f(1/2)=2(1/2)-3
f(1/2)= 1-3
f(1/2)= -2

y = slope (x) + y - intercept
To find the slope we need to find out how much the x's and y's increase or decrease...
To find the y - intercept if any, simply look for coordinates ( 0 , y ) or 0 and a #.
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In this case, as time passes, the water level decreases therefore we have a negative slope.
Time is our x and amount (ft) is our y.
On the x side it increases by 2
On the y side it decreases by 10
Now do y over x ==> 10 over 2 and get 5 ==> m
-5 is our slope and 50 is our y - intercept
~~
The "rate of change" is another word for slope.
Well, slope is - 5ft is our slope.

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I hope that helps you out!!
Any more questions, please feel free to ask me and I will gladly help you out!!
~Zoey
Answer:
1/80 or 0.01234568
Step-by-step explanation:
Exponentiation: (-3) ^ (-9) = -5.08052634253E-5 = -1/
19683
Exponentiation: (-3) ^ 5 = -243
= -1/
19683
* (-243) = -1 · (-243)/
19683 · 1
= 243/
19683
= 1 · 243/
81 · 243
= 1/
81
3 sin ( 2 x ) = 3 cos x
3 · 2 sin x cos x - 3 cos x = 0
6 sin x cos x - 3 cos x = 0 /: 3
2 sin x cos x - cos x = 0
cos x ( 2 sin x - 1 )
cos x = 0,
x 1 = π/2, x 2 = 3π/2;
2 sin x - 1 = 0
2 sin x = 1
sin x = 1/2
x 3 = π/6, x 4 = 5π/6.