Functions & their Graphs
Polynomial functions
Right Triangle
Law of Sines & Law of Cosines
Matrix Rules
100
When you draw a line parallel to the y-axis to see if it crosses the graph at more than one point to determine if it is a function of x.
What is the Vertical Line Test?
100
Theorem that states if the degree of a polynomial is greater than zero, then it has at least one zero in the complex number system.
What is the Fundamental Theorem of Algebra?
100
Common acronym to remember the Right Triangle rules for trigonometry
What is SOH-CAH-TOA?
100
sinA/a = sinB/b = sinC/c
What is the Law of Sines?
100
These must be the same to be able to add two matrices.
What are dimensions? (rows x columns)
200
The letter that best represents the graph of f(x) = |x|
What is the letter "V"?
200
The two ways to divide polynomials
What are synthetic and long division?
200
If a = 12 and A = 30 degrees, what is the length of side c (hypotenuse)
What is 24?
200
The two types of triangles that you must use the Law of Cosines to solve.
What are SSS and SAS?
200
If for a given 2x2 matrix, a = 3, b = 6, c = 1, and d = 2, what is the determinant?
What is zero?
300
f(x) = x^2 + 3x + 2 f(3x) = ?
f(3x) = 9x^2 + 9x + 2 ?
300
Dotted lines that show where a function cannot exist - it shows a function's limits.
What are vertical/horizontal/slant asymptotes?
300
The absolute value of half the distance between the maximum and minimum values of a function
What is the amplitude?
300
If b = 27.4 ft, C = 102.3 degrees, and B = 28.7 degrees, then find A, a, and c.
What is A = 49 degrees, a = 43.06 feet, and c = 55.75 feet?
300
If for a given 2x2 matrix, a = 3, b = 6, c = 1, and d = 2, does this matrix have an inverse?
No
400
f(x) = 6x g(x) = (x^2 - 3) f(g(x)) = ?
f(g(x)) = 6x^2 - 18
400
Using the factors of an & a0 to find the possible zeros of a polynomial.
What is the Rational Zero Test?
400
a = 4, b = 6, and c = 12. What are angles A and B in degrees?
What are B = 30 degrees and A = 60 degrees?
400
Find the three missing angles. a = 8 ft, c = 14 ft, and b = 19 ft in degrees.
What are A = 0.376 degrees, B = 116.8 degrees, C = 41.12 degrees?
400
Two matrices A and B must have the same what in order to multiply them as AB?
A's columns must equal B's rows
500
Inverse of f(x) = 5 / (x-2)
The inverse is h(x) = (5/x) + 2
500
A function divides evenly into another function if the remainder is...
What is zero?
500
If a circle has a radius of 4 inches, find the length of the arc intercepted by a central angle of 240 degrees.
What is 16pi / 3 (or 16.76 inches)?
500
Use Heron's formula to solve for the area given a = 43, b = 53, and c = 72.
What is 1131.89 square meters?
500
To use Gauss-Jordan Elimination to solve a system of equations, you must get your matrix to what form?
What is Reduced Row Echelon?
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