Functions
Equations
Polynomials
Rational Functions
Logarithms and Exponentials
Systems
100
A relation such that every member of the domain is paired with exactly one member of the range.
What is a function?
100
The solution to
4x+3 = 7
What is x=1?
100
This value tells us the number of solutions a polynomial has.
What is the degree?
100
The vertical asymptote of
R(x)=1/(x-3)
What is x=3?
100
The domain of log(x).
What is (0,infty) ?
100
The solution to the system of equations that have:
y=x+1 and
x+y=2
as the system.
What is (0.5,1.5)?
200
The graphical test for a function.
What is the vertical line test?
200
The solution set to
2|x+1|-4 = 6
What is the set containing elements -6 and 4?
What is {-6,4}?
What is x = -6 and x = 4?
200
These two values in a polynomial tell us about the end behavior of a polynomial.
What are the degree and the sign of the leading coefficient?
200
The Horizontal Asymptote of
R(x)=(x^2+3x+4)/((x-1)(x-2))
What is y=1?
200
The equation for
What is f(x)=-3+(1/2)^x ?
200
The solution to the system of equations having these equations:
x+y=1
x+y=0
What is "no solution"?
300
If f(x)=x^2 +2x-3, then this is (-1,-4).
What is the vertex?
300
The solutions to
5x^2-7x+2=0
What are x = 2/5 and x = 1?
300
If (x-1)^2 is a factor of a polynomial, the graph does this at its root.
What is bounce off the x-axis at x = 1?
300
The behavior of R(x)=((x+1)(x-1))/((x+1)(x+2)) around x=-1.
What is a hole?
300
The solution to e^(4x+1)=1 .
What is x=-1/4?
300
The solution(s) to the system having equations x^2+y=1 and x+y=-1
What are (-1,0) and (2,-3)?
400
(f(x+h)-f(x))/h
What is the difference quotient?
400
The real solution(s) to x=2+sqrt(x)
What is x=4?
400
The root(s) that have odd multiplicity.
What is x=-4?
400
The x-intercept(s) of R(x)=((x+1)(x+2))/((x+1)(x-2))
What is (-2,0)?
400
The result of condensing this expression is ln((x^2y)/3).
What is 2ln(x)+ln(y)-ln(3)?
400
The solution(s) to the system of equation that have
x+y+z=1
x+y-z=0
x=2
What is (2,-1.5,0.5)?
500
The graph f(x)=x^3-x is called this since it's symmetric to (0,0).
What is an odd function?
500
The solution(s) to 1/x+2/(x-1)=4/x
What is x = 3?
500
The theorem that guarantees polynomials can always be solved in the complex number system.
What is the Fundamental Theorem of Algebra?
500
The type of asymptote when the degree of the numerator is larger than the degree of the denominator.
What is an oblique asymptote?
500
The solution(s) to ln(x-1)+ln(x)=0 .
What is x=(-1+sqrt(5))/2?
500
The partial fraction decomposition of
(3x-1)/(x^2-1).
What is 1/(x-1)+2/(x+1)?