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Precalc Adv Sem 1 Finals Review Flashcards | StudBud
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Precalc Adv Sem 1 Finals Review
Precalc Adv Sem 1 Finals Review
33 terms
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#math #trig #trigonometry #graphing #trigfunctions#functions#identities
Flashcards
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Questions
33
Answers
1
At Purdue a group of students averaged how many licks to get to the center of a tootsie pop?
875
188
252
20
2
How many squares are there?
40
30
62
22
3
What is the maximum value of the function f(x) = 3sinx -2
0.5
2
3
1
4
What is the amplitude of the following function?
4
1.5
2
3
5
For y = tan (x - π/2) the vertical asymptotes for the first cycle would be...
y = 0 and y = π
x = 0 and x = π
y = -π/2 and y = π/2
x = -π/2 and x = π/2
6
What is the name of this Greek symbol θ?
beta
omega
alpha
theta
7
What is the range of y = tanx?
y > 0
y ∈ R
-1 < y < 1
y < 0
8
Find the domain.
[5, ∞)
(-∞,5)
(-∞,5]
(5,∞)
9
Find cos 10°cos80° - sin10°sin80°
1
0
cos 70°
sin 70°
10
What do you see?
old lady
old man
old man, old lady, young woman
young woman
11
Find (f + g)(5)
5
6
4
1
12
If cos x = -2/3 and x is in Quadrant II, find sin 2x.
4√5/9
√5/3
-4√5/9
-4/9
13
When solving 2sinxcosx=cosx the first step would be
Cry and see if my teacher feels bad for me
subtract cos x to both sides
change 2sinxcosx to sin2x
divide by cos x
14
Simplify. cos
3
x + sin
2
x cos x
1
sin x
tan x
cos x
15
State where f(x) is increasing.
(2,5) U (2,∞)
(-∞,-1) U (0,1)
(-∞, 2) U (5, 2)
(-1,0) U (1,∞)
16
Simplify: 2cos
2
(3π/4) - 1
-√2/2
0
1
√2/2
17
Given f(x) = x
2
- 2x find f(a + h)
a2 + h2 - 2x
a2 + h2 - 2a - 2h
a2 + 2ah+h2 - 2a - 2h
a2 + 2ah+h2 - 2a + h
18
Find (f
°
g )(6)
0
I give up!!!
4
8
19
If a cosine function has a period of π, what is the value of "B"
?
0.5
π
π/2
2
20
For the following set of
cosine
functions, which of the following is
false
?
There has been a horizontal compression
There is a horizontal shift π/2 right
The "D" value is 0 (vertical shift)
The value of B is 1
21
Where's Waldo?
Climbing a fireman's ladder
Next to the motorcyclist
Looking out a building window
In the fountain
22
Find Arccos (-1/2)
π/3
2π/3
5π/6
π/6
23
If a sine function has a period of 4π, what is the value of "B"
?
2
1/4
1/2
π
24
Given f(x)=x/5 + 3 find f
-1
(x).
f-1 (x) = 5x + 1/3
f-1 (x) = (x - 3)/5
f-1 (x) = 5x - 15
f-1 (x) = 5x - 3
25
What is the tan 3π/2?
-1
0
-π/2
undefined
26
Which function accurately represents the red curve?
y=sin0.5x
y=2sinx
y=sin2x
y=0.5sinx
27
Describe the transformation of f(x) for f(x + 2) - 1
2 left and 1 down
2 right and 1 up
2 left and 1 up
2 right and 1 down
28
How many x-intercepts does the function h(x) = cosx have on the in the interval [0, 2π]?
1
3
infinite
2
29
Describe how to obtain f(-x) by using the graph of f(x)
f(-x) is f(x) moved down 1 unit
f(-x) is f(x) reflected over the y-axis
f(-x) is f(x) moved 1 unit left
f(-x) is f(x) reflected over the x-axis
30
What is the value of the "D" the vertical shift for the red sine curve?
2
0
4
-2
31
Which term is not an accurate description of Consuela?
Apple-headed
Deer-headed
Dog
Faun
32
sin
2
x + cos
2
x = ?
-1
-2
2
1
33
Evaluate sec(Sin
-1
5/13)
5/13
5/12
12/13
13/12