Unit 5: Absolute Value and Reciprocal Functions Assignment:

3. Determine the value of each absolute value expression. (2 marks 1 mark each) a. |5+22'2|6(4)|+|710|+|8| b. 3|42 -(54)+(25)| 4. Given the graph of y = f (x), sketch the graph of y = f (x) on the same grid. State the domain and range of each graph. (6 marks) a. b. y=f(x) -5 of y=fx Domain of y = f (x) : Domain of y = f (x) : Range of y = f (x) : Range of y = f (x) : Domain of y = f (x)| : Domain of y = f (x) : Range of y = f (x) : Range of y = f (x) :5. Write each absolute value function as a piecewise function. (4 marks 2 marks each) a. y=|2x+6| b. y=|x22x8| for for for for 6. Solve each absolute value equation graphically. Round to the nearest tenth if necessary. (4 marks - 2 marks each) a. 5x+1 =4 b. x2 + x - 2 =x+3 Graph Y1 = Graph Y1 = Graph Y2 = Graph Y2 = Intersection Point(s): Intersection Point(s): Solutions(s): Solutions(s):7. Solve each absolute value equation algebraically. Round to the nearest tenth if necessary. Verify all potential solutions. a. |35x| =12 (3 marks) b. x+ 3 +7=3 (3 marks)C. x -5 =x2 - 8x+15 (4 marks)8. Frito-Lay's chip factory in Arizona mainly produces potato, corn, and tortilla chips. Once a machine fills each bag with 235g of chips, then another machine weighs each filled bag. If a bag's weight differs from 235g by more than 3g , the bag is removed from the assembly line. a. Write an absolute value equation that can be used to find the heaviest and lightest acceptable bags of chips. (1 mark) b. Algebraically solve your equation from part a. (1 mark)9. The following points lie on the graph of y = f (x). State the corresponding point on the graph of 1 PM) . (3 marks 0.5 marks each)