1. Math-8 NOTES DATE: ______/_______/_______ What: graphing linear equations Why: To both solve AND graph linear equations and to analyze the difference between discrete and continuous functions. What: graphing linear equations Why: To both solve AND graph linear equations and to analyze the difference between discrete and continuous functions. NAME: Review skills (solving linear equations): 2) y = 4x + 1y = -2x + 3 x y = 6x + 2y(x,y) 0 1 2 xy -2 0 2 4 graphing linear equations: 1) y= -2x + 1 2) y = 3x - 2 xy -2 0 2 4 xy 0 1 2

2. 3) y= -x + 1 4) x = 2y -1 xy -3 0 3 6 xy discrete v. continuous functions: When representing “real-life” situations as functions, there are 2 types– discrete or continuous. Simply put, a discrete function is one that, when graphed, represents points that would _____________ be connected with a line because it would make no sense to do so. Whereas a continuous function represents points that _________________ be connected with a straight line because the space between also has meaning. video: Discrete v Continuous

3. discrete v. continuous function examples: Situation DiscreteContinuous 1)Mark is working at the local fast food restaurant and earns $7.15 per hour. The equation for this relationship is: y = 7.15x where x represents the # of hours worked. 2)A box of cracker jacks costs $0.99. The equation for this relationship is: y = 0.99x where x represents the # of boxes bought. 3)Your height is tracked every year on your birthday and the results are graphed. 4)Cricket Wireless charges $0.39 per minute for roaming calls (y = 0.39x) 5)Vermont Cheddar Cheese at the grocery store deli is sold for $2.99 per lb. (y = 2.99x) Read the following real-life situations and decide if the Domain is discrete or continuous. Then, place a “check” under the appropriate column

4. 1) y= -x + 2 2) y = 2x - 2 xy -3 0 3 6 xy -2 0 1 Math-8 PRACTICE DATE: ______/_______/_______ NAME:__________________________ “ graphing linear equations” 3) x = y + -3 4) y = -x - 4 xy -4 -2 0 2 xy -0 1 2

5. Math-8 PRACTICE DATE: ______/_______/_______ NAME:__________________________ “discrete v. continuous functions”