 This Lesson has two parts

Algebra II

 To find slope of a line given two points  To find parallel & perpendicular slope to a line

Hint: write x 1 and y 1 under each term. It helps keep things organized so you don’t make a small mistake

 Parallel Lines – have same slope  Perpendicular Lines – slopes are opposite reciprocals ◦ Flip the fraction & change the sign

Now write an equation of a line that is parallel to your original line? Now write an equation of a line that is perpendicular to your original line? Now have your neighbor check your work and you check your neighbors work

Algebra II

 To identify functions

 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.

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.

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.

Job 1 Job 2

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: $3.12 Rate: $0.18 per minute b. Evaluate the function for 175 minutes