Section 1
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Date created
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Cards (57)
Section 1
(50 cards)
maximum
the largest numerical value in a data set
mode
the value that occurs most frequently in a given data set
irrational number
a number that can NOT be expressed as a fraction; includes decimals that never end or repeat - Pi or any square root of an imperfect square are considered irrational
parabola
the graph of a quadratic function
function notation
an equation in the form of 'f(x)=' to show the output value of a function, f, for an input value x; use the symbol f(x) in place of y
quadratic function
A function that can be written in the form f(x) = ax2+bx+c, where a,b,and c are real numbers and a ≠ 0
median
A measure of center in a set of numerical data. The median of a list of values is the value appearing at the center of a sorted version of the list - or the mean of the two central values if the list contains an even number of values.
system of linear equations
Two or more linear equations to be solved at the same time (with the same variables)
zero power rule
any number to the zero power is equal to one
histogram
frequency plot that resembles a bar graph; shows the number of times a range of numbers occurs
scatter plot
a graph with points plotted to show a possible relationship between two sets of data
polynomial
another name for an algebraic expression; special cases include monomial (one term), binomial (two terms), and trinomial (3 terms)
standard form
when the terms of a polynomial are arranged in 1) alphabetical order and 2) exponential order (from largest to smallest)
mean
The arithmetic average of a distribution, obtained by adding the scores and then dividing by the number of scores.
product rule (exponents)
when multiplying two terms with the same base, add the exponents together
minimum
the smallest numerical value in a data set
radical
another name for a square root
function
A relation in which each element of the domain is paired with exactly one element in the range
interval of increase/decrease
the domain (x) interval of a graph where the function is either increasing or decreasing; written in interval notation using ( ) or [ ]
negative exponent rule
When a base is raised to a negative exponent, it can be written as the reciprocal of the base raised to the same exponent only now it is a positive exponent.
axis of symmetry
the line that divides the parabola into two matching halves; x=-b/2a; the x-value of the vertex
term
A number, a variable, or a combination of a number and a variable
extrema
The maximum and minimum values of a function; the y-value of the vertex
algebraic expression
A mathematical phrase made up of terms; each term is separated by a + or -
variable
A letter that represents a value that can change or vary
factoring (quadratic)
reverse distribution of a quadratic function
literal equation
an equation that contains two or more variables
exponential function
a function of the form f(x) = ab^x, where a and b are real numbers with a ≠ 0, b>0, and b ≠ 1
constant term
A value that does not change; an integer without a variable in an expression or equation
dot plot
a method of visually displaying a distribution of data values where each data value is shown as a dot or mark above a number line
domain
All of the input or x values in a function
rational number
Any number that can be written as a fraction; includes natural, whole, and integer numbers; includes decimals that end or repeat
range
All of the output or y values in a function
quadratic formula
-b±[√b²-4ac]/2a
y-intercept
y-coordinate of a point on a line that crosses the y-axis; when x = 0 (ex: (0,3))
coefficient
A number multiplied by a variable in an algebraic expression.
quotient rule (exponents)
when dividing two terms with the same base, subtract the exponents from one another
vertex
the point where the axis of symmetry and the graph of a quadratic meet
end behavior
The behavior of the graph as x approaches positive infinity or negative infinity.
coordinate plane
A coordinate system formed by the intersection of a horizontal number line, called the x-axis, and a vertical number line, called the y-axis.
like terms
Expressions that contain the same variables to the same power (exponent)
ordered pair
A pair of numbers that can be used to locate a point on a coordinate plane, for example (3,2); also known as a coordinate or a point
factor tree
a diagram showing the prime factorization of a number
GCF
The greatest number/variable that is a factor of each of two or more numbers.
quadrant
one of four sections into which the coordinate plane is divided
box plot
a diagram that shows the five number summary of a distribution
slope
Rise over run; The steepness of a line on a graph; (y₂-y₁)/(x₂-x₁)
power rule (exponents)
when raising a power to a power [hint: using ( ) ], multiply the exponents together [hint: distributive property]
asymptote
a line that a graph approaches but never crosses
x-intercept
x coordinate of a point where a graph crosses the x axis; y coordinate of this point is zero
Section 2
(7 cards)