Theorems
Exponential Function Equations
Trig Fuctions
Parts of a Polynomial Graph
Vocabualary
100
This theorem states that, "If a polynomial f(x) is divided by some smaller polynomial (x-c), then the remainder is f(c)."
What is The Remainder Theorem
100
A= P(1+r/n)^(nt)
What is Compound Interest Equation
100
The Trig Function that uses Opposite/Adjacent
What is Tangent?
100
The shape of the graph of a function at the far left and far right of the coordinate plane when the absolute value of x is large
What is End Behavior
100
A polynomial that consists of only a constant term.
What is a Constant Polynomial
200
This theorem states that, "A polynomial fuction (f)(x) has a linear factor x-a if and only if f(a)=0."
What is The Factor Theorem
200
A= P(1+r)^x
What is Exponential Growth Equation
200
The Trig Function that uses Adjacent/Hypotenuse
What is cosine
200
The graph of a polynomial function of degree n has one y-intercept, which is equal to the constant term, and at most n x-intercepts
What is Intercepts (of a polynomial functions)
200
A first-degree polynomial functions.
What is a Linear Function
300
This theorem says, "Let f(x) be a polynomial with real coefficients, if the complex number z is a zero of f, then its conjugate *z* is also a zero of f."
What is The Conjugate Zero Theorem
300
A=P(1-r)^x
What is Exponential Decay Equation
300
The Trig Function that uses Opposite/Hypotenuse
What is sine
300
If x-a is a factor that occurs m times in the complete factorization of a polynomial, then a is called a zero with multiplicity m of the related polynomial function
What is Multiplicity (of a zero)
300
A polynomial that cannot be written as the product of polynomials of lesser degree.
What is irreducible
400
This theorem states that, "The measure of angle A + the measure of angle B + the measure of angle C= 180 degrees." and this is true for all triangles.
What is The Triangle Sum Theorem
400
A=Pe^(rt)
What is Compound Continuously Equation
400
The inverse Trig Function that uses Adjacent/Opposite
What is Cotangent
400
Either a local maximum or local minimum
What is local Extremum/Extrema
400
The number s such that all the real zeros of a polynomial function f(x) are between r and s, where r and s are real numbers.
What is Upper Bound
500
This theorem states, "A^2 + B^2= C^2." and this is true for only right triangles.
What is Pythagorean Theorem
500
f(x)=P(.5)^(x/h)
What is Radioactive Decay Equation
500
The inverse Trig Function that uses Hypotenuse/Opposite
What is cosecant
500
A point where the graph of a function changes concavity.
What is Inflection Point
500
An abbreviated notation for performing polynomial division when the divisor is a first-degree polynomial.
What is Synthetic Division