Obtain the graph of h by adding or subtracting the corresponding y-coordinates on the graphs of f and g in the same rectangular coordinate system.
I will post pics
f(x) = 3 sin x, g(x) = sin 2x; h(x) = (f + g)(x)
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OpenStudy (anonymous):
OpenStudy (anonymous):
@Calcmathlete
OpenStudy (anonymous):
@UnkleRhaukus @ash2326
OpenStudy (unklerhaukus):
(f + g)(x)=f(x)+g(x)
OpenStudy (unklerhaukus):
lets start with a the y-intercept \((0,y_0)\)
set x=0
\[f(0) = 3 \sin 0= 0\]
\[g(0) = \sin 2\cdot 0= 0\]
\(h(0) = 0\qquad\rightarrow (0,0)\) is a point
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OpenStudy (unklerhaukus):
try some other points along the x axis
OpenStudy (anonymous):
can someone tell me what the answer is? @UnkleRhaukus all the graphs have (0,0)
OpenStudy (anonymous):
@mandonut can u help?
OpenStudy (unklerhaukus):
thats true, what happens if x=3pi/2?
OpenStudy (anonymous):
f=-3
g=0
h=-3
so what would the other point be?
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OpenStudy (anonymous):
here's a hint... check their amplitudes.. that should reduce your choices....