Homework Text p. 388, #8-22 evens and #19 8) domain: -2, -1, 0, 1; 8) domain: -2, -1, 0, 1; range: -9, 2, 4, 5 range: -9, 2, 4, 5 10) domain: -4, -3, 2,

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Presentation transcript:

Homework Text p. 388, #8-22 evens and #19 8) domain: -2, -1, 0, 1; 8) domain: -2, -1, 0, 1; range: -9, 2, 4, 5 range: -9, 2, 4, 5 10) domain: -4, -3, 2, 4; range: -1, 0 10) domain: -4, -3, 2, 4; range: -1, 0 12) sometimes 12) sometimes 14) function 14) function 16) relation, -10 has 2 outputs 16) relation, -10 has 2 outputs 18) no 18) no 19) yes 19) yes 20) no 20) no 22) a). yes, the graph passes the vertical line test 22) a). yes, the graph passes the vertical line test b). advisories 20-30

Do Now 1/31/12 Take out HW from Monday. Take out HW from Monday. –Text p. 388, #8-22 evens and #19 Copy HW in your planner. Copy HW in your planner. –Text p. 394, #12-23 all (8 graphs) In your notebook, tell whether each table is a function or not a function. In your notebook, tell whether each table is a function or not a function. x y43210x11235y43210x12345y Each input must be paired with only ONE output Not a function Function Be ready for The POTD!

Objective SWBAT find solutions of equations in two variables SWBAT find solutions of equations in two variables

An example of an equation in two variables is 2x – y = 5. The solution of an equation in two variables, x and y, is an ordered pair (x, y) that produces a true statement when substituted into the equation. An example of an equation in two variables is 2x – y = 5. The solution of an equation in two variables, x and y, is an ordered pair (x, y) that produces a true statement when substituted into the equation. Section 8.2 “Linear Equations in Two Variables” Section 8.2 “Linear Equations in Two Variables”

Solving Linear Equations To find a SOLUTION, substitute the ordered pair into the equation and see if it produces a true statement. To find a SOLUTION, substitute the ordered pair into the equation and see if it produces a true statement. 2x – y = 5 2x - y = 5 2(1) – 3 = 5 -1 = 5 -1 = 5 equationsubstitutioncheck (1, 3) (1, 3) Tell whether the ordered pair is a solution to the equation. NO 2x - y = 5 2(2) – -1 = 5 5 = 5 5 = 5 (2,-1) (2,-1) YES ordered pair

Linear Equation- an equation whose graph is a line y = 4 – 2x

y-axis x-axis (-2,8) Graph an Equation Graph the equation y = 4 – 2x. xy -286 (-1,6) 04 (0,4)(0,4)(0,4)(0,4) 12 (1,2)(1,2)(1,2)(1,2) 20 (2,0)(2,0)(2,0)(2,0) Is this a function? Yes, it passes the vertical line test

y-axis x-axis (-2,-10) Graph an Equation Graph the equation y = 3x - 4 xy (-1,-7) 0-4 (0,-4) 1 (1,-1) 22 (2,2)(2,2)(2,2)(2,2)

Graph an Equation Solve the equation for y. STEP 1 Graph the equation y = 2. STEP 2 Make a table by choosing a few values for x and then finding values for y. STEP 3 Plot the points. Notice the points appear on a line. Connect the points drawing a line through them.x-2012y22222 HORIZONTAL LINE y = b

Graph an Equation Solve the equation for x. STEP 1 Graph the equation x = -1. STEP 2 Make a table by choosing a few values for x and then finding values for y. STEP 3 Plot the points. Notice the points appear on a line. Connect the points drawing a line through them.xy-2012 VERTICAL LINE x = a

Homework Text p. 394, #12-23 all Text p. 394, #12-23 all