Presentation on theme: "Algebra II: Chapter 2 Mrs. Lowerys Notes!. Vocabulary Quiz 1. A set of pairs of input and output values 2. The x-coordinates of the relational pair 3."— Presentation transcript:
Algebra II: Chapter 2 Mrs. Lowerys Notes!
Vocabulary Quiz 1. A set of pairs of input and output values 2. The x-coordinates of the relational pair 3. The y-coordinates of the relational pair 4. A way to show the relation between x & y values 5. A relation in which each element of the domain is paired with exactly one element in the range 6. A line which determines whether or not a graph is a function 7. f of x notation a. Vertical Line Test b. Mapping Diagram c. Range d. Relation e. Function Notation f. Function g. Domain Please match the following words with their definition
Terminology Please put the ordered pairs from the previous slide in: Relation form (input values output) Identify the Domain (x-values) Identify the Range (y-values) Create a Mapping Diagram
Is the Relation a Function??? Check out the Domain! Picture view - Mapping diagram Only 1 arrow coming out of each x Practice (-2,-1) (0,3) (-2,3) (5,4) Practice (2,6) (3,6) (4,5) (7,8)
More … Is this Relation a Function? Vertical Line Test 1. Plot your points or Graph your Equation 2. Draw a vertical line anywhere on the quadrant plane 3. Count the number of times it cross the points or graph If only 1 – YES!!! It is a function If more than 1 – NO It is not a function (Practice P58 Quick Check 5)
Function Notation f(x) f(x)= (Spoken f of x) Whatever variable or number is right there plug in for the variable. Student paycheck example – How much will your paycheck be if you work????? - by hand - advanced grapher - Calculator
Practice f(x) = x+1 Find f(3) f(4) f(6)
Assignment Guided Practice – in groups of 2 or 3 must show me before you leave! P59 1, 6, 9, 12, 13, 20, 23 (paper or white board) Homework – P33-41odd; 43-45; 46, 50, 53
Linear Equations What does Linear mean?
Slope – Intercept Form y = mx + b b = y-intercept (starting point) m = slope = Dependent Variable Independent Variable
Example How To Graph: 1. Identify y-intercept 2. Identify Slope 3. Graph 1. Identify y-intercept 2. Identify x-intercept Technology Application & Algebraically
Standard Form Ax + By = C How to convert: 1. Ax must be positive 2. No Fractions 3. A, B, C must be reduced
Standard Form Graphing How to Graph from Standard Form 1. Find x & y intercepts 2. Plot Points 3. Connect the dots
Domain & Range of Linear Function Domain – (x-values) Range – (y-values)
Find Slope Use two points on a line m = slope =
Point-Slope Form Insert for variables in box – y & x always are y & x
Put into Standard Form slope = ; (22,12) 1. Use point-slope 2. Use slope intercept
Assignment P67 1-9odd; 11-14; odd
Types of Lines: 1. Horizontal Lines y = # 2. Vertical Lines x = # 3. Perpendicular Lines – 1. slope =opposite, reciprocal 2. Y-intercept = any number 4. Parallel Lines – 1. Slope – Same 2. Y-intercept = any number other than original
Graphing Inequalities It is just like graphing linear equations 1. Solve for y 1. (Do not forget to flip sign if divide by a negative) 2. Start at y-intercept (b) 3. Plot slope (m) 4. If dotted line; If solid line 5. Shade!!