1. Bellwork Read the Why? On pg. 69 of your text book. Answer the following questions 1.) What does the value of x mean for this situation? 2.) What does a negative value for x or y mean in this situation?

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3. Homework Answers 11.) D= {-.3,.4, 1.2} R= {-6,-3,-1,4} Not a Function 12.) D= {2, 4, -8} R= {-6, 14, -4} Not a function 13.) D={ -3, -1, 3, 5} R= {-4, 0, 3} Function, onto 14b.) D= {33.93, 16.03, 12.44, 19, 8.07, 20.90} R= {53, 25, 19, 29, 13, 32} 14c.) Discrete 14d.) Yes it is a function 25.) 29 27.) -6 29.) -267 31.) -4.5

4. Identify Linear Relations and Functions Write Linear equations in standard form

5. Vocabulary Linear Relation: Relations that have a straight line graph Nonlinear Relations: Relations that are not linear Linear Equation: an equation that has no operations other than addition, subtraction and multiplication of a variable by a constant No variables multiplied together No variables in the denominator No exponents other than 1 Linear Function: a function with ordered pairs that satisfy a linear equation Linear functions can be written in the form f(x)=mx+b

6. I DO State whether each function is a linear function. Explain 1.) 2.)

7. We DO State whether each function is a linear function. Explain 1.) 2.)

8. You DO State whether each function is a linear function. Explain 1.)

9. Standard Form Any linear equation can be written in Standard Form: Ax+By=C where A, B, and C are integers with a greatest common factor of 1

10. I Do: Write each linear equation in standard form. Identify A, B, and C

11. We Do: Write each linear equation in standard form. Identify A, B, and C

12. You Do: Write each linear equation in standard form. Identify A, B, and C

13. Homework TB pg. 72 (#16-24 all, 27-33 odd)

14. Bellwork State whether each function is linear. Write yes or no, explain.

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16. Homework Answers 16.) Yes 17.) No, exponent other than 1 18.) Yes 19.) No, exponent other than 1 20.) No, variable in denominator 21.) No, exponent other than 1 22.) No, exponent other than 1 23.) No, variable in the denominator 24.) yes 27.) 8x+3y=-6 A=8, B= 3, C=-6 29.) 2x+y=-11 A=2, B=1, C=-11 31.) 6x+y=0 A=6, B=1, C=0

17. Graphing using the x and y intercepts How many points does it take to make a line? 2 points One way to graph a linear function is to find where the graph intersects the x and y axis. y-intercept: The point at which the graph crosses the y axis x-intercept: The point at which the graph crosses the x axis.

18. I Do Find the x-intercept and the y-intercept of the graph. Then graph the equation.

19. Graphing with two intercepts What do you notice about the ordered pairs of the following linear function? (0,2) (-2,0) We can find the x-intercept when y=0 We can find the y-intercept when x=0

20. We Do Find the x-intercept and the y-intercept of the graph. Then graph the equation.

21. You Do Find the x-intercept and the y-intercept of the graph. Then graph the equation.

22. Graphing with only one intercept Use the piece of spaghetti to graph the following equations 1.) x=4 2.) x=-2 3.) y=0 4.)y=-3 5.)x=y 6.)x=-y

23. Homework TB pg. 72 (#25, 35-39 odd, 41-43all)

24. Example 2 and Check your progress 2