Lesson 2 – 4 SlopeAlgebra II

To find slope of a line given two points

To find parallel & perpendicular slope to a line

Learning Objective

Slope – ratio of vertical change to horizontal change of a non-vertical line

Line goes through (x1, y1) & (x2, y2)

Parallel Lines – have same slope

Perpendicular Lines – slopes are opposite reciprocals◦Flip the fraction & change the sign

1. a. Find slope (3, -5) (7, -2) (x1, y1) (x2, y2)

b. What is the parallel slope?

c. What is the perpendicular slope?

Homework Log

Mon

9/21

Lesson 2 – 1

Learning Objective: To identify functions

Hw: Pg. 65 # 8 – 11, 14 – 16, 17 – 25 odd, 32 Pg.78 #10 – 16 even. Find slope, parallel slope, & perpendicular slope

9/21/15 Lesson 2 – 1 Relations & Functions

Algebra II

To identify functions

Learning Objective

Relation – set of pairs of input and output values

Ways to Represent Relations

Domain – set of inputs, “x”◦Independent variable

Range – set of outputs, “y”◦Dependent variable

Function – relation in which each x has exactly one y

Vertical Line Test – if a vertical line passes through more than one point of the graph, then it is NOT a function

1. What are the domain and range of the relation

Domain: {0, 4, 8, 12, 16|

Range:{5904, 7696,

8976, 9744, 10000}

2. What are the domain and range of the relation

{(-3, 14), (0, 7), (2, 0), (9, -18)}

Domain: {-3, 0, 2, 9}

Range: {-18, 0, 7, 14}

3. Is the relation a function?

Is a function! Each x corresponds with exactly one y.

4. Is the relation a function?

{(4, -1), (8, 6), (6, 6), (4, 1), (1, -1)}

NOT a function! Each x needs to corresponds with exactly one y.

5. Is the relation a function?

NOT a function! Each x needs to corresponds with exactly one y.

6. Is the graph a function?

Not a function. Fails the vertical line test.

7. Is the graph a function?

Is a function. Passes the vertical line test.

Function Notation – f (x)◦Represents “y”◦“f of x”◦“Function f of x”

8. Find

(1, 5)

9. Find

(-2, 9)

10. Tickets to a concert are $35 each plus a one-time handling fee of $2.50.

a. Write a function that models the cost of the concert tickets.

b. Evaluate the function for 6 tickets.

10. a.

b. Find for 6 tickets

$212.50

11. A job offers you $15 per hour with a bonus of $200.

Another job offers you $20 per hour with no bonus.

a. Which job would you choose?

b. Write a function that models each of the job offers.

11. b. Job 1:

Job 2:

c. How much does each job make for 30 hours? 40 hours? 50 hours? 30 40 50

Job 1

Job 2

11. b. Job 1:

Job 2: c. How much does each job make for 30 hours? 40 hours? 50 hours? 30 40 50

Job 1 $650 $800 $950

Job 2 $600 $800 $1,000

a. Write a function to model the cost per month of long distance cell phone calling plan. Monthly service fee: $3.12Rate: $0.18 per minute

b. Evaluate the function for 175 minutes

Ticket Out the Door

Assignment:

Pg. 65 # 8 – 11, 14 – 16, 17 – 25 odd, 32

Pg.78 #10 – 16 even. Find slope, parallel slope, & perpendicular slope