Do Now 10/23/09 Take out HW from last night. Text p. 209, #4-32 evens, #36 & #38 Copy HW in your planner. Text p. 219, #6 & 8, even, 38 In your notebook, explain how you know a function is a function. Then answer if the following three tables are functions or not. x y43210 x11235 y43210 x12345 y Each input must be paired with only ONE output Not a function Function

Homework Text p. 209, #4-32 even & 36, 38 4) (0, -1) 6) (-4, 3) 8) (3,0) 10) (-3,-2) 12) (-1,2) 14) Quadrant I 16) x-axis 18) Quadrant III 20) Quadrant I 22) The description of the location is backwards, the point is 6 units to the right of the origin and 6 units down. 24) Range: -1, 0, 1, 2, 3 graph on board 26) Range: -5, -3, -1, 1, 3 graph on board 28) rectangle; area=48 sq. units; perimeter=28 units 30) Quadrant IV 32) Quadrant III 36) a. Asia; b. North America; c. Asia; d. South America; e. North America; f. Europe 38) a. There is exactly one change in value for each day; b. The change in value increases until day 4, and then decreases.

Objective SWBAT graph 7 linear equations and linear functions in a coordinate plane

Section 4.2 “Graph Linear Equations” Linear Equation- an equation whose graph is a line The STANDARD or GENERAL FORM of a linear equation is represented as Ax + By = C where A, B, and C are real numbers

Linear Equations An example of a linear equation in two variables is -3x + 2y = 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. Which ordered pair is a solution of -3x + 2y = 5? A. (3,4) B. (1,-1) C. (-1, 1) D. (0,-1)

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

Graph an Equation Solve the equation for y. STEP 1 SOLUTION Graph the equation y + 2x = 4. 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-2012 y86420

Graph an Equation Solve the equation for y. STEP 1 SOLUTION Graph the equation -2x + y = -3. 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-2012 y

Graph an Equation Solve the equation for y. STEP 1 SOLUTION Graph the equation 0x + 1y = 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-2012 y22222

Graph an Equation Solve the equation for x. STEP 1 SOLUTION 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. x y-2012

Linear Function- The equation Ax + By = C represents a linear function as long as B = 0.

Graph a Function SOLUTION12 Graph the function y = – x + 4 with domain x ≥ 0. Then identify the range of the function. STEP 1 Make a table. x y43210 STEP 2 STEP 3 Connect the points with a ray because the domain is restricted. Plot the points. STEP 4 Identify the range. From the graph, you can see that all points have a y - coordinate of 4 or less, so the range of the function is y ≤ 4.

Graph a Function SOLUTION STEP 1 Make a table. STEP 2 STEP 3 Connect the points with a ray because the domain is restricted. Plot the points. STEP 4 Identify the range. From the graph, you can see that all points have a y-coordinate of 1 or more, so the range of the function is y ≥ 1. Graph the function y = – 3x + 1 with domain x ≤ 0. Then identify the range of the function. x 0– 1– 2– 3– 4 y

Homework Text p. 209, #4-32 even & 36, 38