Mathematics
18 Online
undeadknight26 (undeadknight26):
Compare the functions shown below:
f(x) = 3 cos 2x + 4
g(x)
cosine graph with points at 0, 3 and pi over 2, 0 and pi, negative 3 and 3 pi over 2, 0 and 2 pi, 3
h(x)
x y
-6 -11
-5 -6
-4 -3
-3 -2
-2 -3
-1 -6
0 -11
11 years ago
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undeadknight26 (undeadknight26):
@sleepyjess @shifuyanli @dan815 @Freez @geerky42 @gabbyalicorn @horsegirl325 @JoannaBlackwelder @wwhitlock @texaschic101 @campbell_st @calculusxy
11 years ago
OpenStudy (gabbyalicorn):
Sorry math is not my best subject
11 years ago
geerky42 (geerky42):
What do you think? @undeadknight26
11 years ago
geerky42 (geerky42):
Maximum possible value of \(\cos\theta\) is 1, right?
11 years ago
OpenStudy (joannablackwelder):
Can you tell me what the max values of each function are?
11 years ago
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undeadknight26 (undeadknight26):
Oh mai i forgot to say what i think /.\
Mighty embarrassing....
I thought it was f(x)!
Since its maximum y value was (0,7)
11 years ago
geerky42 (geerky42):
Yes maximum of f(x) is 7
11 years ago
OpenStudy (wwhitlock):
Looks like math to me.
11 years ago
geerky42 (geerky42):
It is math lol...
11 years ago
geerky42 (geerky42):
Can you tell me the maximum of g(x) and h(x)?
11 years ago
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OpenStudy (joannablackwelder):
Yep, max value of f(x) is 7 :-)
11 years ago
undeadknight26 (undeadknight26):
For me f(x) = 7 g(x) = 3 h(x) = -2. I just want to know if i am right with this...
11 years ago
geerky42 (geerky42):
You are correct.
11 years ago
geerky42 (geerky42):
Therefore answer is f(x)
11 years ago
undeadknight26 (undeadknight26):
Yosh thanks guys! Care to check like 4 more?
11 years ago
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geerky42 (geerky42):
Sure
11 years ago
undeadknight26 (undeadknight26):
I think this one is f(x) again
11 years ago
geerky42 (geerky42):
Yep
11 years ago
undeadknight26 (undeadknight26):
f(x) = 5
g(x) = 2
h(x) = 1
11 years ago
geerky42 (geerky42):
Actually h(x) is -2
11 years ago
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geerky42 (geerky42):
y-intercept is when x=0, right? so just plug in x=0 then solve for y.
11 years ago
geerky42 (geerky42):
\[3\sin(2(0) + \pi )-2 = 3\sin(\pi)-2 = 3(0)-2 = \boxed{-2}\]
11 years ago
undeadknight26 (undeadknight26):
Oh yosh that makes sense :O
11 years ago
undeadknight26 (undeadknight26):
11 years ago
undeadknight26 (undeadknight26):
I think its D
11 years ago
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undeadknight26 (undeadknight26):
I think this one is C
11 years ago
undeadknight26 (undeadknight26):
I think this one is A
11 years ago
geerky42 (geerky42):
All correct.
11 years ago