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Logarithms
Properties of Exponents and Imaginary Numbers
Composite/
Inverse/Domain
Quadratics
Polynomials
100
Log(base 4)19 is between which 2 whole numbers?
2 and 3
100
If i = sqrt(-1), what is the value of i^6?
-1
100
If f(x)=2x+3 and g(x)=-2x-1, find f(g(x)).
-4x+1
100
What are the solutions to x^2+4x+5=0?
x=-2+i, -2-i
100
Divide the following polynomial: (x^4+3x^3-6x^2-2x+10)/(x+2)
x^3+x^2-8x+14-18/(x+2)
200
What is the value of log(base 2) 1/8?
-3
200
What is the simplified form of the expression [x^(6/5)y]/[xy^(-3/4)]?
x^(1/5)y^(7/4)
200
Find the inverse of y=(1/2)sqrt(x)+4.
y=4x^2-32+64
200
Describe the end behavior of y=x^2-4x+7.
y -> +inf as x -> +inf, y -> +inf as x -> -inf
200
Which is a polynomial of degree 3 with solutions x=-2, 5, 6?
x^3 -9x^2 +8x+60
300
If log2 = .301 and log3 = .477, what is log12?
1.079
300
Find the simplified form of the expression [3i/sqrt(5)]^2
-9/5
300
What is the range of the function f(x)=x^2-2x-15?
[-16, inf)
300
Which most accurately describes the translation of y=-2(x-6)^2 -1 to the graph y=-2(x-4)^2?
up 1, 2 left
300
If x+2 is a factor of x^3 -x^2 -46x -80, then what are the solutions of the polynomial?
-5, -2, 8
400
What is the value of log(base 4)64?
3
400
Simplify the expression m^(1/6)m^(1/7).
m^(13/42)
400
Find the asymptotes of f(x)=(4x-8)/(x+2).
x=-2, y=4
400
Find an equation with the x-intercepts -3 and 2.
x^2+x-6
400
Factor the the polynomial x^3 -27 completely.
(x-3)(x^2 +3x+9)
500
If log3 = .477 and log4 = .602, what is log(base3)4?
1.262
500
Simplify the expression [sqrt(r^5)/sqrt(r^3)]^(-1).
1/r
500
At which point is (x^2-11x+24)/(x-3) discontinuous?
x=3
500
Factor 3x^2+x-4.
(3x+4)(x-1)
500
Factor the polynomial x^3 -3x^2 +x -3 completely.
(x^2+1)(x-3)