Combinations and Compositions
Finding Restrictions and Domain Algebraically
Linear Functions and Modeling
Polynomials
Wild Card
100
True or false, the composition of f and g is f(g(x))
True
100
What is the restriction for y = sqrt(x) ?
x >= 0
100
What does 'a' represent in the linear function f(x) = ax + b
The slope
100
What is the degree of the polynomial f(x) = 3x^5 + 2x^3 + 1
5
100
What is the vertex of the function f(x) = 2(x-1) + 2 ?
(1, 2)
200
What is (f - g) when f(x) = 2x and g(x) = x + 1 ?
x - 1
200
What is the restriction for the function y = 1/(x-4) ?
x - 4 != 0 or x != 4
200
What is the general formula for the point-slope form of a line?
y - y_1 = m*(x-x_1)
200
What is the leading term for the polynomial f(x) = 2x^9 + 10x^8 + 3x^3 + x
2x^9
200
Describe how to get the function g(x) = 4(x - 3)^2 -4 by transforming the basic function f(x) = x^2
Vertical stretch by 4, shift right 3, and shift down 4
300
What is the composition of f(x) = sqrt(x) and g(x) = x^2 + 4
f(g(x)) = sqrt(x^2 + 4)
300
What is/are the restriction(s) on the function y = 1/(sqrt(x-4)) ?
sqrt(x - 4) != 0 and x-4 >= 0
or
x - 4 > 0
300
Describe the association in the scatterplot
Weak, positive (linear) association
300
What is the degree of the polynomial 4x^4 + 2x + 5x^9 + x^(-1) + 2 ?
There is none! This is not a polynomial
300
If f(x) = -2x^8 + 3 what is the limit of f(x) as x approaches oo ?
-oo
400
f(x) = 2x + 1 and f(g(x)) = 4x^3 + 1 . What is g(x) ?
g(x) = 2x^3
400
Find the domain of y = (sqrt(x))/(x - 5) algebraically
[0, 5)U(5, oo)
400
Write an equation for a linear function f that satisfies the given conditions: f(1) = 2 and f(5) = 7
f(x) = 5/4 x + 3/4
400
What are the zeros of the function f(x) = x(x-4)^2(x+12) ?
x = 0, x = 4, and x = -12
400
Use the quadratic formula to find the zeros of f(x) = 3x^2 - 11x + 6
x = 3 and x = 2/3
500
Come up with two different ways to decompose the function y = (x^3 +1)^2 such that y = f(g(x))
f(x) = x^2 and g(x) = x^3 + 1
or
f(x) = (x+1)^2 and g(x) = x^3
500
For the functions f(x) = x + 7 and g(x) = sqrt(x) / x , find the domain of g(f(x))
x > -7 or (-7, oo)
500
Write an equation satisfying the given conditions AND graph the equation.
f(0) = 3 and f(3) = 0
f(x) = -x + 3
500
Sketch the graph of a polynomial that has a negative leading coefficient and an odd degree.
(Check end behavior)
500
Factor the expression 6x^3 - 22x^2 + 12x
2x(3x-2)(x-3)