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Pre-Calculus Final Review Flashcards | StudBud
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Pre-Calculus Final Review
Pre-Calculus Final Review
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Julia's pre-calculus final review
Flashcards
48 cards
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Practice quiz
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Host live
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Questions
48
Answers
1
What in a function gives you a slant asymptote?
the same power on top and bottom
a high power on the top
a high power on the bottom
no powers at all
2
What is the vertex in the equation\left(x-2\right)^2=8\left(y-3\right)^2?
(2, 3)
(8, 3)
(8, 2)
(-2, -3)
3
What is the equation of an ellipse?
x+y=r
y=x^2
x^2+y^2=r^2
\frac{\left(x-h\right)^2}{a^2}-\frac{\left(y-k\right)^2}{b^2}=1
4
What is the answer to log (-11)?
no solution
-1
11
.1
5
Which equation would be the best for synthethic division?
(2x2+4x)(5x2+7x+8)
(2x-5)(3x2+16x-12)
(3x-4)(2x2+3x-35)
(x-1)(6x3+4x2+12x+3)
6
What formula do you use to find the eccentricity?
e=\frac{b}{a}
e=\frac{c}{a}
e=\frac{bc}{a}
c^2=a^2-b^2
7
What is the equation for a parabola?
x^2+y^2=r^2
x+y=r
y=x
y=x^2
8
What is the eccentricity of a parabola?
0
1
1+
between 0 & 1
9
What is a reference angle for a 520
o
angle?
90o
20o
30o
60o
10
What formula would you use to find something that is compounded continously?
A=(1+(r/n)nt
A=Pert
11
What function does this graph represent?
absolute value function
cubic function
inverse function
square root function
12
What is multiplicity?
a function hits the y-axis multiple times
a function has multiple turning points
a function has multiple zeros but only hits the x-axis once
13
What equation represents a horizontal translation?
y=x2 +3
y=(x-5)2
y=x-4
y=(-x+7)
14
What is one of the pythagorean identities?
\cos2∅=\cos^2∅-\sin^2∅
\sin2∅=2\sin∅\cos∅
\sin^2∅+\cos^2∅=1
\cos2∅=1-2\sin^2∅
15
What is the exact value of cos \frac{4\pi}{3}
1
\frac{\sqrt{3}}{3}
-2
-\frac{1}{2}
16
What is this graph showing?
Spiral
Limacon
Lemniscate
Rose
17
What are the three types of discontinunity?
Zero, jump, removable
Infinite, jump, removable
Infinite, jump, zero
Infinite, zero, limited
18
What is this graph showing?
Rose
Spiral
Limacon
Lemniscate
19
What function does this graph represent?
cubic function
absolute value function
reciprocal function
identity function
20
What equation represents a vertical dialation?
-\sqrt{x}
\sqrt{3x}
2\sqrt{x}
21
What was Julia's favorite math class?
Algebra 1
Pre-Calculus
Algebra 2
Geometry
22
What is the equation of a hyperbola?
\frac{\left(x-h\right)^2}{a^2}-\frac{\left(y-k\right)^2}{b^2}=1
\left(x-h\right)^2+\left(y-k\right)^2=1
x^2+y^2=r^2
x+y=r
23
What function gives you symmetry with the y-axis?
Even function
Odd function
Equal function
y function
24
For parabolas, what does "p" mean?
how the parabola opens
distance from the origin
distance from the focus to the directix and vertex
how wide the parabola is
25
What is the eccentricity of a hyperbola?
1
1+
between 0 & 1
0
26
What is the exact value of cos \frac{\pi}{3}?
undefined
\frac{1}{2}
\sqrt{2}
1
27
What law would be the best option to find the missing length of this triangle?
Law of sines
Law of cosines
28
What is \cot∅equal to?
\frac{1}{\cos∅}
\frac{\cos∅}{\sin∅}
\frac{1}{\tan∅}
\frac{\sin∅}{\cos∅}
29
What is the eccentricity of an ellipse?
1+
0
between 0 & 1
1
30
What are the verticies in a ellipse?
the end points of the minor axis
the end points of the major radius
the end points of the minor radius
the end points of the major axis
31
What type of discontinuity passes the verticle line test?
Infinite
Piecewise
Removable
Jump
32
What was Julia's favorite chapter in pre-calc?
functions
unit circle
vectors
proofs
33
What would p equal in the equation \left(x-2\right)^2=8\left(y-3\right)^2?
2
4
8
3
34
What is this graph showing?
Limacon
Rose
Spiral
Lemniscate
35
What is this graph showing?
Rose
Cardioid
Rose
Lemniscate
36
What are you going to do this summer?
more pre-calc
play sports
relax & sleep
go on the lake
37
What coordinate is the same as (1, 200
o
)?
(1, 1600)
(1, 3000)
(1, 900)
(1, -160O)
38
What does a negative do in a polar coordinate?
flips it 180o
moves it to the right
moves it to the left
moves it 90o
39
What is the product property of logs?
logb xy = logb x+logb y
logb x/y = logbx - logby
logb xp = p logb x
40
Anything that you can graph is called a _______.
Relation
Domain
Function
Notation
41
What does this type of graph represent?
x=\cos∅
y=\sin∅
42
How many times has Julia cried about pre-calc?
once
too many to count
quite a few times
never
43
What is 200
o
converted into radians?
\frac{2\pi}{5}
\frac{10\pi}{9}
\frac{3\pi}{4}
200π
44
What is this graph showing?
Cardioid
Lemniscate
Rose
Spiral
45
How do you find the inverse of a function?
switch x & y and solve for y
decompose the function
switch x & y
I don't know
46
How excited are you for summer?
can't wait!
I'd rather be doing math
extremely excited!
just a little
47
What is the first step when it comes to optmization?
find the formulas to use
solve for a variable
graph it
find the maximum/ minimum
48
What does the power of 5 tell you in the equation 2x
5
+x
3
+3x
2
?
has up to 4 turning points
moves it to the right 5
hits at (0,0)
moves it up 5