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Precalc Warm Up 6-1
Fill out the input output table. Graph.
Find sin exact and approx
Domain?
Range?
Period?
Amplitude?
sin
0
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sin
Domain?
Range?
Period?
Amplitude?
0
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sin
sin
0
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Since sin (-x) = -sin x, y = sin x is odd and therefore has
origin symmetry. What does this mean about the graph?
How will the graph of y = 3 sin x compare with y = sin x ?
amplitude? What about y = 1/2 sinx ?
What about y = -3sinx ?
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In y = a sinx , the amplitude is _____
Let's explore the effect of b in y = a sin bx
Graph y = sin 2x
Graph y = sin 1/3 x
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In y = a sin bx, b affects the _____
Now let's explore what c does in y = a sin (bx - c)
Graph y =sin (x -
/2)
Graph y = sin (2x+
/2)
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In summary,
y = a sin ( bx - c) + d
a affects:
b affects:
c affects:
d affects:
when is there a reflection over x axis?
Graph y = -4 sin (3x +
) + 2
y axis?
dom? range?
Per?
Amplitude?
What about the graph of y =sin (
/2 - x) ?
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What about y = cos x ???
(0,1)
135o
o
120o 90
60o
30o
150o
(-1,0)
45o
0
180o
0o or 360o
330o
210o
225o
240o
270o
315o
300o
(0,-1)
(1,0)
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#6-1 p. 352 box
Quiz tomorrow PC 5.1-5.4 IB 9.1,9.7 tomorrow
Homework quiz Wednesday
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