Algebra 2 EOC Flashcards

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Questions and Answers

What is a relation?

A graphical representation of data

A set of ordered pairs (correct)

A set of unordered pairs

A set of numbers

What is the domain of a relation?

X-coordinates input

What is the range of a relation?

Y-coordinates output

In a function, all x's can be the same.

False Signup and view all the answers

What is the formula for direct variation?

Y=kx Signup and view all the answers

What is the formula for inverse variation?

Y=k/x Signup and view all the answers

What is joint variation?

Y varies jointly with x and z Signup and view all the answers

What is a horizontal asymptote for rational expressions?

No horizontal asymptote Signup and view all the answers

How do you find a vertical asymptote?

Set denominator equal to zero and factor Signup and view all the answers

What do you do to find x-intercepts for rational expressions?

Divide out any common denominator Signup and view all the answers

How do you factor a sum or difference of cubes?

First one second one squared Signup and view all the answers

What is the formula for continuous compounding?

A=Pe^(rt) Signup and view all the answers

What is the square root of -1?

I Signup and view all the answers

What is i^2?

-1 Signup and view all the answers

What does the rational exponent mean?

Power/root='power over root' Signup and view all the answers

How do you find the inverse of a function?

'Y=' form switch x and y solve for y Signup and view all the answers

How do you solve an absolute value equation?

Set the expression inside the absolute value equal to the positive and negative constants Signup and view all the answers

What ways can you solve a system?

Graph Signup and view all the answers

What is the compound interest formula?

A=P(1+r/n)^(nt) Signup and view all the answers

What is the standard form for a quadratic?

F(x)=ax^2+bx+c Signup and view all the answers

Study Notes

Key Algebra 2 Concepts

Relation: Refers to a set of ordered pairs, linking elements from one set to another.
Domain: The set of all x-coordinates (inputs) in a relation or function.
Range: The set of all y-coordinates (outputs) in a relation or function.
Function: A specific type of relation where each x-coordinate is unique; passes the vertical line test.

Variation Types

Direct Variation: Expressed mathematically as ( Y = kx ), where ( k ) is a non-zero constant.
Inverse Variation: Represented by ( Y = \frac{k}{x} ), indicating that y varies inversely with x.
Joint Variation: A scenario where y varies jointly with multiple variables, such as ( x ) and ( z ).

Asymptotes in Rational Functions

Horizontal Asymptote: Indicates that a rational expression has no horizontal asymptote when its degree is higher in the numerator than the denominator.
Vertical Asymptote: Found by setting the denominator equal to zero and factoring.

Rational Expressions

X-Intercepts for Rational Expressions: These can be determined by dividing out any common denominators.

Factoring Techniques

Sum or Difference of Cubes: Factorable using the formula ( a^3 \pm b^3 = (a \pm b)(a^2 \mp ab + b^2) ).

Advanced Formulas

Continuous Compounding: Described by the formula ( A = Pe^{(rt)} ), where ( A ) is the amount, ( P ) is the principal, ( r ) is the rate, and ( t ) is time.
Compound Interest Formula: Given by ( A = P(1+\frac{r}{n})^{(nt)} ), where ( n ) is the number of times interest is compounded per year.

Complex Numbers

Square Root of -1: Denoted as ( i ), the imaginary unit.
Definition of ( i^2 ): By definition, ( i^2 = -1 ).

Exponents and Inverses

Rational Exponent Meaning: Represents "power over root", indicating the relationship between exponents and roots.
Finding Inverse of a Function: To find the inverse, switch ( x ) and ( y ) in the equation and solve for ( y ).

Solving Equations

Absolute Value Equations: Solved by setting the expression inside the absolute value equal to both the positive and negative constants.

Systems of Equations

Methods to Solve Systems: Include graphing, substitution, combinations, and elimination methods.

Quadratic Function Form

Standard Form for Quadratic: The equation format is ( f(x) = ax^2 + bx + c ), where ( a ), ( b ), and ( c ) are constants.

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Description

Test your knowledge of key algebraic concepts with these flashcards. This quiz includes terms related to functions, relations, and variations, crucial for mastering Algebra 2. Perfect for EOC exam preparation!