math vocab Flashcards
Absolute Value Function
a function that contains an algebraic expression within absolute value symbols.
Binomial
The sum of two monomials
Complex Conjugates
Two complex numbers of the form a+bia and a-b. product of complex conjugates is a real number
Complex Number
A number a+bi where a and b are real numbers. The number a is the real part of the complex number and the bi is the imaginary part.
Conjugates
The expression a+√b and a- √b used to rationalize the denominator, who’s product is always a rational number
Constant of Variation
a in the equation y=ax. a is the slope
Correlation Coefficient
A number denoting b r1 from -1 to 1 that measures how close the points are to forming a line
Direct Variation
A linear relationship that can be modeled by the equation y=ax always. y varies directly with x. always had the same y-intercept of 0
Domain
The set of all input values (x)
Function
A relation in which every input has exactly one output
Function Notation
A way to name a function y=mx+b –> f(x)=mx+b. f of x or the value of function on f at x
Imaginary unit i
The imaginary unit i is defined as i=√-1 –> i2 =-1
Intercept Form of Quadratic
Equation
y = a (x-p)(x-q) p,q = x-intercepts. axis of symmetry is halfway between (p,0)+(q,0). x=p+q/2
Linear Function
A function that can be written in the form y=mx+b first degree function. slope cannot be 0. Parent –> y=x, y=1x=0
Linear Inequality of Two Variables
System of two or more inequalities in two variables
Linear Programming
Process of optimizing a linear objective function subject to a set of constraints
Linear Regression
scatter plot and trend line found. As many points above line as below the line. Uses positive and negative correlations.
Maximum/Minimum Value of Quadratic Function
The vertex’s y-coordinate minimum if a > 0 = open upwards, maximum if a<0 = open downwards
Monomial
An expression that is a number, a variable, or a product of numbers and/or variables
Opposite
The opposite of b is written as -b. Two numbers that are the same distance from zero on the number line.
Parabola
The U-shaped graph of a quadratic function
Parent Function
the simplest function for all the family of functions
Constant -> f(x)=
Linear-> f (x)=x
Absolute value -> f(x)=IxI
Quadratic ->f (x) = x2
Piecewise Function
A system of equation; each has its own domain
Point-Slope Form
y-y1=m(x-x1). M is the slope and (x1,y1) is a point on the line. The graph looks like a line with a slope and passes through the point
Pure Imaginary Number
0+bi, b does not equal 0
Quadratic Equation in One Variable
equation on one variable that can be written as ax2 +bx+c=0
Quadratic Formula
if ax2 +bx +c=0 where a does not equal 0 then that equals the quadratic equation.
Radicand
The number beneath the radical sign
Range
The set of all output values (y)
Rationalizing the Denominator
The process of eliminating a radical from the denominator of a fraction. Rewrite the denominator as a radical/number
Reciprocal
The reciprocal of b is written as 1/b. multiplication inverse
Relation
any mapping/pairing of input and output values
Scatter Plot
A graph of a set of data points
Slope
Nonvertical line. The ration of the vertical change (rise) to horizontal change (run)= rise/run.
Slope-Intercept Form
y=mx+b. the graph is a line with slope (m) and y-int.
Solution of a System of Linear
Equations in Two Variables
An ordered pair that satisfies the equation (x,y)
Standard Form of a Linear
Equation
Ax+By=C. A,B, and C are not decimals or fractions. A and B are not 0. A is not negative. Graph by rewriting in slope-int form.
Vertex of a Parabola
The lowest or highest point on a parabola is the vertex. AOS passes through the vertex
x-intercept
where graph intercepts the x axis (x,0)
y-intercept
where graph intercepts y axis (0,y)
