1. Drill #18 a.) Graph the following relation (use an x-y chart). b.) state the domain and the range, c.) identify if it one-to-one, onto, both or neither d.) is it a function? 1.f(x) = 5 – 3x Given find the following values.Give your answer in function notation and as a coordinate. 2.f( -1 )4. g(-3) 3. f( ½ )5. g(4a+1)

2. Drill #19 a.) Graph the following relation (use an x-y chart). b.) state the domain and the range, c.) identify if it one-to-one, onto, both or neither d.) is it a function? 1. Given, find the following values. Give your answer in function notation and as a coordinate. 2.f( -1 )4. g(-3) 3. f( -½ )5. g(– 3a+2)

3. Drill #20 a.) Graph the following relation (use an x-y chart). b.) state the domain and the range, c.) identify if it one-to-one, onto, both or neither d.) is it a function? 1. a.)Write the following equations in Standard Form identifying A, B, and C. b.) Identify the x and y intercepts. c.) plot the intercepts and use them to graph each line d.) state the domain and range 2.y = ½x – 2 3. 6y = 6x + 12 4. 2x + 6y = 2(x + y)

4. Graphs: Examples Ex1: Function? State the Domain and Range: x y 1

5. Graphs: Examples Ex2: Function? State the Domain and Range: x y 1

6. Graphs: Examples Ex3: Function? State the Domain and Range: x y 1

7. Graphs: Examples Ex4: Function? State the Domain and Range: x y 1

8. Graphs: Examples Ex6: Function? State the Domain and Range: x y 1

9. 2-2 Linear Relations and Functions Objective: To identify equations that are linear and graph them, to write linear equations in standard form, and to determine the x- and y- intercepts of a line and use them to graph an equation.

10. Linear Equation* linear equation: and equation containing one or two variables with no variable having an exponent other than 1 Standard Form of a Linear Equation: Ax + By = C -A, B, and C are integers, A > 0 -A and B are not both 0 -A, B, and C have no common factors

11. Identify Linear Equations* Properties of Linear Equations: Must have an x or a y or both x and y must be separate terms x and y must be to the first power x and y cannot be in the denominator

12. Examples Linear EquationsNon-Linear Equations

13. Writing Equations in Standard Form* Steps for writing linear equations in Standard Form: 1. Group x and y terms on the left side of the equation. 2. Group the constants on the right side of the equation. 3. Simplify fractions and decimals. 4. Divide both sides of the equation by any common factors of A, B, and C 5. If A < 0 (negative) multiply both sides of the equation by -1

14. Example: Writing equations in Standard Form Write each equation in Standard Form where A, B, and C are integers whose greatest common factor is 1. Identify A, B, and C. y = -5x + 6 ¾ x = 2y + 5 10y = 25 + 5x.

15. x- and y- intercepts x – intercept: the x-coordinate of the point where the graph of a function crosses the x-axis. To find the x-intercept of a line substitute y = 0 into the equation and solve for x. ( Stand Form = C/A ) y – intercept: the y-coordinate of the point where the graph of a function crosses the y-axis. To find the x-intercept of a line substitute x = 0 into the equation and solve for y. ( Stand Form = C/B )

16. Example: Finding the intercepts of a Linear Equation Write the following equations in Standard Form. Identify A, B, and C, then Identify the x- and y- intercepts, and graph each line: Ex1: 3x + 2y = -12 Ex2: 5y = 3x + 8 Ex3: ½ x – ¾ y = -2 Ex4: y = ½ x – 1

17. Example: Finding the intercepts of a Linear Equation Write the following equations in Standard Form. Identify A, B, and C, then Identify the x- and y- intercepts, and graph each line: Ex1: Ex2:

18. Standard Form Equation Word Problems Ex1. Jeanine goes to a store where shirts cost $40 and jeans cost $60. Write an equation that identifies the number of shirts and jeans combined she can buy if she has $300 to spend. Graph the equation. Using the graph answer the following questions: How many jeans can she buy if she buys 3 shirts? Maximum number of jeans? Shirts?