Polynomials
Rationals
Logarithms
Compositions
Trig
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 translations and dilations of the function y = cosx
What is vertical translation up 2, a vertical dilation of 3, horizontal translation of
π/6
to the right
and horizontal dilation of
π/2
?
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
200
The transformation 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 function that models the graph below
What is y= 2sin(3x)?
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 function that models the graph below
What is y=cos (2x) - 1?
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 roots, asymptotes, end behavior, holes and y-intercept of f(x)
f(x) = (x^2-36)/(x^2-2x-24)
What is x = -6 (root), x = -4 (VA), y = 1 (EB), y=1.5 (y-int).
400
The rate of change of the output values of the equal-length input value intervals of an exponential function
What is a proportional rate of change?
400
The expression the equals (d(p(g(x))
d(x)=|x|
g(x)=9x
p(x) = x^1/2
What is |9x1/2|?
400
The angles that satisfy the equation below for the interval
(0, 2pi)
4cosxtanx=5tanx
What is
x = {0, pi}
500
For the function shown the approximate interval of increase as the rate of change is decreasing
What is (-0.2, 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
What is
