Algebra 2 Final Review Study Outline Chapter 5: Quadratic Functions Chapter 6: Polynomial Functions Chapter 7&9: Functions and Inverses Exponential and Logarithmic Functions Chapter 11:Statistics Chapter 13:Trigonometry Chapter 8:Rational Functions

Chapter 5: Quadratic Functions

Vertex

Transformations

Solving Quadratic Equations Graphing Factoring Square-Rooting Completing the Square Quadratic Formula

Discriminant

Completing the Square

Irrational Numbers

Chapter 6: Polynomial Functions

End Behavior Step 1: Leading coefficient (right side)  Positive: Right side rises  Negative: Right side falls Step 2: Degree (both ends)  Even: both ends go in the SAME direction  Odd: the ends go in OPPOSITE directions

End Behavior

Add/Subtract/Multiply

Solving Polynomial Equations

Multiplicity of Roots

Chapters 7 & 9: Functions & Inverses Exponential Functions

Composition of Functions

Exponential Functions: Growth and Decay

Exponential Growth and Decay

Solving Exponential Equations

Logarithmic Expressions

Logarithmic Properties

Solving Exponential or Logarithmic Equations

Logarithmic Functions

Chapter 11: Statistics

Exponential Model Given the following data, find the equation of the exponential model. Years after 1970Population (in millions)

Correlation

Mean Find the mean from the frequency table: ScoreFrequency

Standard Deviation Standard deviation measures the “spread” or “variability” of the data. A small standard deviation indicates data that are all very similar. A large standard deviation indicates data that are very different.

Normal Distribution Remember the 68 – 95 – 99.7% rule

Normal Distribution Test scores were normally distributed with a mean of 100 and standard deviation of 10. What percent of students scored between an 80 and 120?

Types of Studies Survey: a questionnaire given to a sample of individuals. Observational Study: gather data on a topic without manipulating any variable Experiment: purposefully manipulate one variable to examine its effect on another variable

Types of Studies Categorize each type of study: A college sends a feedback postcard to students who recently attended an open house. A researcher compares the SAT scores of students taking Latin with students not taking Latin. The number of heart attacks is compared when one group of individuals are assigned to take an aspirin a day while another group does not not.

Chapter 13: Trigonometry SOH-CAH-TOA Given the triangle, find the value of the three trig functions.

Angle of Elevation or Depression A road rises 10 feet over a horizontal distance of 80 ft. Find the angle of elevation of the road.

Angles of Rotation

Coterminal Angles

Reference Angles

Radians and Degrees

Exact Value or Unit Circle

Exact Value of Sin, Cos, Tan Find the reference angle. (Convert to degrees if necessary.) Use the table of exact values. Decide if the function should be positive or negative by using A-S-T-C.

Exact Value of Sin, Cos, Tan

Pythagorean Identity

Graphs of Sine/Cosine

Maximum and Minimum Value for Sine and Cosine

Chapter 8: Rational Expressions and Equations

Solving Rational Equations