Chapter 8
to the power of 3
cube root
is a mathematical function of the form where the variable. Is in the exponent, and the base is a positive constant not equal to.
Exponential function
non-negative integer exponents
Polynomial
the highest point; the top or apex.
Vertex
defines the edge or limit of a set or shape, consisting of all points where any tiny area around them contains both points inside the set and points outside it.
Boundary
A perfect cube is an integer formed by multiplying the same integer three times
Perfect cube
is a mathematical function of the form where the variable. Is in the exponent, and the base is a positive constant not equal to.
Exponential function
an algebraic expression of the sum or the difference of two terms.
Binomial
an imaginary line that divides a shape or graph, such as a parabola, into two identical, mirror-image halves.
Axis of symmetry
one of the two regions a plane is divided into by a straight line, where the boundary line itself is included in the region, typically defined by a linear inequality using "≤" or "≥" (e.g.
Closed half plane
an integer that is the product of an integer multiplied by itself
Perfect square
growth function a mathematical model where a quantity increases at a rate proportional to its current value, resulting in faster growth over time.
Exponential growth
the sum of the exponents of all its variable factors.
Degree of a monomial
the least or smallest amount or quantity possible, attainable, or required.
Minimum
combines two simple inequalities with "and" or "or," representing a range of solutions where either both conditions (for "and") or at least one condition (for "or") must be true
Compound Inequality
to the power of 2
Square root
function models a quantity that decreases over time, where the rate of decay is proportional to the current amount.
Exponential decay
written with its terms arranged in descending order of exponents, starting with the highest degree and ending with the lowest (constant) term.
Standard form of a polynomial
a root (or zero) of a polynomial equation that appears exactly twice
Double root
is one of the two regions a plane is divided into by a straight line, representing all points on one side of that line, defined by a linear inequality
Half plane
an exponent expressed as a fraction, representing a power and a root of a number, where
Rational Exponent
a straight line that a curve approaches arbitrarily closely as the distance to the origin tends to infinity.
Asymptote
the numerical coefficient of the term with the highest exponent (degree) in a polynomial when written in standard form (descending order of exponents).
Leading Coefficient
is a polynomial equation of the second degree, meaning it contains at least one term squared
Quadratic equation
combines all elements from two or more sets into one new set
Union