Chapter 6: Rational Exponents and Radical functions
100
The set of input values of a relation, x
What is a domain
100
A rectangular arrangement of numbers of rows and columns. Each number in a (blank) is an element
What is a matrix
100
A function that can be written in the form ax^2+bx=c where a does not equal 0
What is a quadratic function
100
The representation of a number in the form c x 10^n where 1≤c≤10 and 10 and n is an integer.
0.693 written as 6.93x10^-1
What is scientific notation
100
a radical with index n is in simplest form
What is simplest form of a radical
200
The set of output values of a relation, y
What is range
200
A method of solving a system of equations by solving one of the equations for one of the variables and then replacing the resulting expression in the other equation.
What is substitution method
200
The set of all points equally distant from a point called the focus and a line called the directrix.
The graph of a quadratic formula
What is a parabola
200
A method used to divide polynomials similar to the way you divide numbers
Ex. x^3+5x^2-7x+2÷x-2
What is polynomial long division
200
Radical expressions with the same index and radicand
Ex. ^4 sqrt. 1o and 7^4 sqrt. 10 are like radicals
What is like radicals
300
A relationship for which each input has exactly one output
Ex. X,Y: 1,2 2,3 3,4 4,6 7,9
What is a function
300
A method of solving a system of equations by multiplying equations by constants, then adding the revised equations to eliminate a variable.
Ex: x+y=8
4x+2y=20
2x+2y=16
2x=4
x=2
2+y=8
y=6
What is elimination method
300
The line perpendicular to the parabola's directix and passing through it's focus and vertex. lies on the x axis
What is axis of symmetry for a parabola
300
a method used to divde a polynomial by a divisor form x-k
What is synthetic division
300
the integer n, greater than 1, in the expression ^n sqrt. a
What is index of a radical
400
A function that can be written in the form y=mx+b where m and b are constants
What is a linear function
400
A consistent system that has exactly one solution
Ex. the system consisting 4x+y=8 and 2x-3y=18 has exactly one solution, (3, -4)
What is an independent system
400
The form y=a(x-h)^2 +k where the vertex of the graph is (h,k) and the axis of symmetry is x=h
Ex. 1/4(x+2)^2+5
What is vertex form of the quadratic function
400
The coefficent in the term in a polynomial function that has the greatest exponent
leading coefficent
400
A function of the form y=ax^b wheren a is a real number and b is a rational number
f(x) =4x^3/2
What is a power function
500
a dependent system
ex. 2x-y=3
4x-2y= 6 Any ordered pair (x, 2x-3) is a solution of the system
What is A consistent of equations that has infinitely many solutions
500
standard form of a quadratic function
What is the form y = ax^2+bx=c where a doesn't equal 0
500
g(x)=πx^2+7x- sqrt. 3.
What is standard form of a polynomial function
500
inverse relation
A relationship that interchanges the input and output values of the original relation