#### Study sets matching "algebra ii honors chapter 7"

#### Study sets matching "algebra ii honors chapter 7"

asymptote

Change Base Formula

common logarithm

exponential decay

a line that a graph approaches, but never crosses.

a formula designed to change the base of a logarithm to make…

a logarithm with a base of 10.

the decrease of positive y-values in an exponential function.

asymptote

a line that a graph approaches, but never crosses.

Change Base Formula

a formula designed to change the base of a logarithm to make…

polynomial in one variable

degree of a polynomial

leading coefficient

polynomial function

a polynomial that contains only one variable

greatest exponent of its variable

the term with the highest degree

a polynomial equation used to represent a function

polynomial in one variable

a polynomial that contains only one variable

degree of a polynomial

greatest exponent of its variable

Composition of Functions

Inverse Relation

Inverse Function

One-to-One

A function is performed, and then a second function is perfor…

Two relations are inverse of and only if whenever one relatio…

Two functions f and g are inverse functions if and only if bo…

1) A function where each element of the range is paired with…

Composition of Functions

A function is performed, and then a second function is perfor…

Inverse Relation

Two relations are inverse of and only if whenever one relatio…

As the coefficient goes up, the narrow…

When p=1

When p=0

When p= even integer

As the coefficient goes up, the narrower it is

D: All Reals... R: All Reals... Directly Proportional... "Straight Line"

D: All Reals... R: y=K... Linear... "Horizontal Line"

D: All Reals... R: y>_0... Parabolic, bigger the power, the more na…

As the coefficient goes up, the narrow…

As the coefficient goes up, the narrower it is

When p=1

D: All Reals... R: All Reals... Directly Proportional... "Straight Line"

Fundamental Counting Principle

Permutation

Combination

Theoretical Probability

A way to figure out the total number of ways different events…

A way, in which a set or number of things can be ordered or a…

A grouping of items, in which order does not matter

the ratio of the number of favorable outcomes to the number o…

Fundamental Counting Principle

A way to figure out the total number of ways different events…

Permutation

A way, in which a set or number of things can be ordered or a…

scientific notation

index

monomial

degree of a monomial

a method of writing very large numbers or very small numbers…

in the radical the number not inside the house

a number or a product of number and variable w whole number e…

the sum of the exponents of the variable in the monomial

scientific notation

a method of writing very large numbers or very small numbers…

index

in the radical the number not inside the house

Conjugates

Radical equation

nth root

Square root function

Binomials of the form a√b + c√d, where a,b,c, and d are ratio…

An equation with radicals that have variables in the radicands

For any real numbers a and b, and any positive integer n, if…

A function that contains a square root of a variable

Conjugates

Binomials of the form a√b + c√d, where a,b,c, and d are ratio…

Radical equation

An equation with radicals that have variables in the radicands

rule for arithmetic sequence

rule for sum of arithmetic sequence

rule for geometric sequence

rule for sum of geometric sequence

an = a₁ + (n-1)d

Sn = n((a₁ + an)/2)

an = a₁(r)ⁿ⁻¹

Sn = a₁((1-rⁿ)/(1-r))

rule for arithmetic sequence

an = a₁ + (n-1)d

rule for sum of arithmetic sequence

Sn = n((a₁ + an)/2)

constant of variation

inverse variation

rational function

rational expression

The constant a in the inverse variation equation y=a/x, where…

Two variables x and y show inverse variation when y=a/x, wher…

A function that has the form f(x)=p(x)/q(x), where p(x) and q…

A fraction whose numerator and denominator are nonzero polyno…

constant of variation

The constant a in the inverse variation equation y=a/x, where…

inverse variation

Two variables x and y show inverse variation when y=a/x, wher…

Order of Magnitude

Product of Powers Property

a^n x a^m ---> a^(n + m)

Power of a Power Property

The power of 10 nearest the quantity.

a^n x a^m ---> a^(n + m)

Product of Powers Property

(a^n)^m ---> a^(n x m)

Order of Magnitude

The power of 10 nearest the quantity.

Product of Powers Property

a^n x a^m ---> a^(n + m)

polynomials

square a number

first difference

second difference

an expression of more than 2 algebraic terms.

...to multiply a number by itself or to raise it to the power…

Values obtained by subtracting each term in a sequence from i…

Differences that are found by subtracting consecutive first d…

polynomials

an expression of more than 2 algebraic terms.

square a number

...to multiply a number by itself or to raise it to the power…

exponential function

exponential growth

exponential decay

asymptote

y=ab^x, where "x" is a real number, when "a" can't be 0.

y=ab^x when b>1

y=ab^x when 0<b<1

a line that a graph approaches as x or y increases in absolut…

exponential function

y=ab^x, where "x" is a real number, when "a" can't be 0.

exponential growth

y=ab^x when b>1

logarithmic function

Exponential Growth and Decay Model

Continuously Compounded Interest

common logarithm

the inverse of an exponential function

A(t) = a(1+r)^t

A(t) = Pe^rt

a logarithm with base 10

logarithmic function

the inverse of an exponential function

Exponential Growth and Decay Model

A(t) = a(1+r)^t

Property Of Zero Exponents

Property Of Negative Exponents

Product Of Powers

Power Of A Power

Zero as an Exponent: For every nonzero number a a^0= 1.... Examp…

Negative Exponent: For every nonzero number a and integer n,…

Words: To multiply powers with the same base add the exponent…

Words: To raise a power to a power, multiply the exponents.... A…

Property Of Zero Exponents

Zero as an Exponent: For every nonzero number a a^0= 1.... Examp…

Property Of Negative Exponents

Negative Exponent: For every nonzero number a and integer n,…

distance formula

midpoint formula

equation of a parabola

equation of a circle

d = √[( x₂ - x₁)² + (y₂ - y₁)²]

(x₁+x₂)/2, (y₁+y₂)/2

y= a(x-h)^2 +k... OR... x= a(y-k)^2 +h

(x-h)^2 + (y-k)^2 = r^2

distance formula

d = √[( x₂ - x₁)² + (y₂ - y₁)²]

midpoint formula

(x₁+x₂)/2, (y₁+y₂)/2

Exponential function

Exponential growth function

Growth/decay factor

Asymptote

function with equation of the form y = abx

exponential function where a > 0 and b > 1

b value in exponential function

line that a graph approaches but never crosses

Exponential function

function with equation of the form y = abx

Exponential growth function

exponential function where a > 0 and b > 1

Complex Conjugates Theorem

identity function

quadratic form

composition of functions

for any polynomial function, if an imaginary number is a zero…

the function f(x) = x

for any numbers a, b, and c, except for a = 0, an equation th…

a function is performed, and then a second function is perfor…

Complex Conjugates Theorem

for any polynomial function, if an imaginary number is a zero…

identity function

the function f(x) = x

system of linear equations

solution of a system of linear equations

substitution method

Elimination method

2 equations in 2 variables

an ordered pair that is a solution to both equations; the pla…

solve a system of equations by solving for a single variable…

a method for solving systems of equations where the equations…

system of linear equations

2 equations in 2 variables

solution of a system of linear equations

an ordered pair that is a solution to both equations; the pla…

asymptote

Change of Base Formula

Continuously Compounded Interest

common logarithm

a straight line that is the limiting value of a curve or grap…

the formula to evaluate a logarithm with any base. [p. 464]

the formula for calculating interest over an annual rate. [p.…

a logarithm with base 10. [p. 453]

asymptote

a straight line that is the limiting value of a curve or grap…

Change of Base Formula

the formula to evaluate a logarithm with any base. [p. 464]