Polynomials
Rationals
Logarithms
Compositions
Exponentials
100
The y-intercept of
s(t) = -7t^2+4t-27
What is -27?
100
The function below for which there is a slant asymptote
f(x) = (x - 4x^2)/(x^2-3)
g(x) = (x^4 + 2x + 1)/(x^3-3)
h(x) = (x^3-5x^2)/(6x^2-x^3+2)
What is g(x)?
100
The logarithmic equivalent form of
4^y=7
What is
log_47=y
100
g(x) = 2x^2-4
For the given functions g(f(2)) is?
What is 28?
100
The general form of an exponential function along with the restrictions that make the function demonstrate exponential growth
What is f(x)=abx
a > 0, b > 1
200
The roots of the polynomial
f(x) = x^3-4x^2-5x
What is x = {0, -1, 5}
200
The value of
f(-1) = (x^3-2x^2+5x-20)/(5x^2-4x-1)
What is -3.5
200
The equivalent expanded form of
log((x^7y^4)/z^(1/2))
What is 7logx + 4logy - 1/2logz
200
f(x) = x + h, g(x)=2x^2-x+4
then
g(f(x))=
What is
2x^2+4xh+2h^2-x-h+4
200
The end behavior, using correct limit notation, for f(x)=(-1/2)(16)x+1/2
lim f(x) = 0
x->-inf
lim f(x) = -inf
x->inf
300
The end behavior for the polynomial using limit notation if
g(x) = -4x^4+2x^2+6
What is
300
In interval notation the domain of
f(x) = 1/(x^2-9)
What is (-∞, -3) U (-3,3) U (3, ∞)?
300
The simplified form of
10^(log(7z^2))
What is
7z^2
300
g(x) = f-1(x); Evaluate g(4).
What is 2?
300
The equivalent form of
f(x)=(1/27)(1/3)2x-2
in general form
What is f(x) = (1/3)(1/9)x
400
For the graph shown identify the roots with their multiplicity
What is x = 1, multiplicity 2
x = -2, multiplicity 1;
x = 5, multiplicity 1?
400
The zeros, asymptotes, and holes of f(x)
f(x) = (x^2-36)/(x^2-2x-24)
What is x = -6 (zero), x = -4 (VA), y = 1 (HA), x=6 (hole).
400
The rate of change of the input values over equal-length output value intervals of a logarithmic function
What is a proportional rate of change?
400
The expression that equals (d(p(g(x)))
d(x)=|x|
g(x)=9x
p(x) = x^(1/2)
What is |3x1/2|?
400
The value of f(g(-2)) where
f(x) = (-16)(4)x
g(x)=log3(9)x
What is -1/16
500
The approximate interval where the function is increasing at a decreasing rate. 
What is (0, 1)?
500
The quotient of
f(x) = (6x^3-11x^2-26x+15)/(3x+5)
What is
2x^2-7x+3
500
The x values of
log_(-2x-4)(x^2-5x-20)=2
What is x = {-4, -3}
500
The inverse of
f(x) = (7-4x)/(8+3x)
What is f-1(x) =
(-8x+7)/(3x+4)?
500
The values of 'a' and 'b' in general form for an exponential function that contains the points (-1, 2) and (2, 16)
What is a = 4 and b = 2