Polynomial
Functions
Functions
This is the term for the highest power of xx in a polynomial, which determines its degree.
what is the degree
In the equation y=a⋅bxy=a⋅bx, this letter represents the initial amount or starting value.
what is A
This is the inverse function of an exponential function, often used to "undo" exponential growth or decay.
What is a logarithmic function
This word describes the highest value from the midline in a sinusoidal function, often representing "height."
what is amplitude
This term describes a collection of distinct objects or numbers in math.
What is a set
This type of polynomial has exactly two terms, such as 3x+5
What is a binomial
If the base b in an exponential function is between 0 and 1, the function represents this kind of change.
what is decay
This base for logarithms is most commonly used in science and engineering and is approximately 2.718.
what is the natural logarithm e
This is the time it takes for a sine or cosine function to complete one full cycle.
what is period
In logic, this term means "and," and results in true only if both statements are true.
What is AND
when you multiply out a polynomial completely, each part doesn't have a variable is called this.
Constant Term
In exponential growth and decay models, this term is used to describe the time it takes for a quantity to double or halve.
What os Doubling time/Half-life
This rule of logarithms lets you rewrite log(xa)log(xa) as a⋅log(x)a⋅log(x).
What is the power rule of logarithms
This is the "up-and-down" centerline of a sinusoidal graph, halfway between the maximum and minimum values.
what is midline
When two sets share no common elements, they are called this.
what are disjoint sets
this process can be used to find the x-intercepts of a polynomial by setting it equal to zero and solving.
What is factoring
Exponential functions have this kind of curve, where the y-values increase or decrease more and more rapidly.
What is an Exponential curve
This base, used in "common logarithms," is standard on most calculators.
what is 10
A sine or cosine graph can be shifted left or right by adjusting this value in its equation.
What is the phase shift
The term for the set containing all possible elements in a given context, often represented by the letter U.
what is the universal set
A polynomial that has no other factors except itself and one is called this type of polynomial
what is Irreducible Polynomial
To solve equations where the variable is in the exponent, this type of function is typically used.
what is a logarithmic function
To convert between logarithms of different bases, we use this formula: log_b(x) = log_c(x) / log_c(b)
what is change of base formula
To determine the period of y=sin(Bx)y=sin(Bx) or y=cos(Bx)y=cos(Bx), we use this formula
Period = 2π / |B|
This is a visual tool often used to show relationships between sets, usually involving circles that overlap.
What is a Venn diagram