Vector
Frankensteins
Complexity
Frankensteins
Complexity
Trigonometry Perdition
Imaginary Friends
A Poly
Party
Party
Deranged Functioning
Fraction Fever
Inverse-ification
Snozzberries
100
Let u = <6, –3> and v = <–14, 8>. Find the following.
What is
<2,1>
100
Period, phase shift, and amplitude of
f(x) = -4sin(4(x-pi/2))+7
What is
period = pi/2, phase shift = pi/2 to, amplitude = 4
100
Find the length and slope of the segment that connects (7,3) and (13, 7).
What is
l=sqrt(52) , m=3/2
100
Apply the Rational Root Theorem
P(x) = 7x^17+sqrt5x^6-x^3+4x^2-8x+6
What is
±1/1,±1/7, ±2/1. ±2/7, ±3/1, ±3/7, ±6/1,±6/7
100
Given f(x)=√(x+5) and g(x)=8x-9,
find (f∘g)(x).
What is
2sqrt(2x+1)
100
Rational Functions may have what type of asymptotes?
What is Horizontal, Vertical, and Oblique Asymptotes
100
To have an inverse function, a function must be a one-to-one correspondence. To fulfill this requirement, the graph needs to pass what test?
What is the horizontal line test
100
For which two type of functions may we encounter extraneous solutions and need to check our answers?
What is radical and rational functions
200
The dot product of <10, -1> and <3,-7>
What is 37
200
Find the radius of a circle if a central angle of 20° intersects an arc of length
pi/2 units
What is r = 4.5
200
Find the x-intercept, y-intercept, and slope:
8x - 6y = 24
What is
x: (3,0), y: (0,-4), m=4/3
200
Use end behavior to determine which of the following graphs is that of
x^4-5x^2-10
What is
a
200
Amount on deposit after 100 years if $2,000 is invested at 5% interest compounded quarterly and no other deposits are made.
What is
2,000xx(1+.05/4)^(4xx100), $287,768.17
200
State an example of a rational function with a horizontal asymptote and two vertical Asymptotes
Answers will vary.
200
To find an inverse function, what is the first step one should take?
What is switching x and y
200
Solve the following:
2/x=1/(x+2)
What is x = -2
300
Find the angle θ between the two vectors u = <5, –12> and v = <4, 3>.
What is
104.25 degrees
300
Find c
What is
c approx 6.7
300
Equation of the line through (2, 3) and perpendicular to 2x + y = 10
What is
y-3=1/2(x-2)
300
Degree, Leading Coefficient, constant, and end behavior of
f(x) = -2(x-2)(x+1)(x+2)(x-1)
What is
D=4, LC=-2, C=-8, Tails: l=downarrow, r=downarrow
300
Find f(-3) and f(30) if 
What is
f(-3) = -7
f(30) = 9
300
What are the zeros & the horizontal asymptote of
(x+3)/(x^2+2x-3)
What is (-3, 0) & y=0
300
Find the inverse function of
f(x)=4x-9
What is
f^-1(x)=(x+9)/4
300
The figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 6 units long. Express the area A of the rectangle in terms of x.
What is
A(x)=2x(3-x)
400
Write the complex number -7+2i in polar form
What is
sqrt53cis164.05
400
Find b
What is
bapprox9.8
400
Factored Form and zeros of
y=x^2+5x-14
What is
y=(x-2)(x+7), x=2,-7
400
Zeros of
P(x)=(x-2)^5(x+8)^6
and behavior at those zeros
What is
x=2 rightarrowcrosses, x=-8rightarrowt ouches&turns
400
Solve the equation 〖log〗_72〖(x^2-x)=1〗.
What is
{-8,9}
400
What are the vertical asymptotes and holes (if any) of
(x+3)/(x^2+2x-3)
What is hole at x = -3 and V.A. at x = 1
400
Find
cos(tan^-1(4/3))
What is
3/5
400
Solve the following:
e^(2x-3)=7
What is
(ln(7)+3)/2
500
Find
(sqrt2+isqrt2)^5
and express the result in rectangular form.
What is
-16sqrt2-16isqrt2
500
Find all solutions on the interval [0, 360) for the equation
cos(2x)=sinx
What is {0, 60, 180, 300}
500
Vertex Form, Vertex, and Classification of Maximum/Minimum of
4x^2-16x+18
What is
y=4(x-2)^2+2, Mi n: (2, 2)
500
Completely factor the polynomial
P(x)=x^4-x^3-23x^2-3x+90
What is
(x+3)^2(x-2)(x-5)
500
Find and simplify the difference quotient of
f(x)=x^2+5x-7
What is
2x+h+5
500
Determine whether the following has a horizontal asymptote, oblique asymptote, or neither and find the x-intercept(s).
What is y=2x+8 and (0,0)
500
The algebraic expression in x for
sec(arctan(x))
What is
+-sqrt(x^2+1)
500
Find the Partial Fraction Decompisition for
x/((x-5)(x+2)
What is
(5/7)/(x-5) +(2/7)/(x+2)