February 10 2016

February 10 2016

• 1.
  Today:  Warm Up:(2)  Khan Academy Topics  Determining Domain & Range  Mapping & Verticle Line Test  Interpreting Graphs  CW 3.4 Due for Full Credit
• 2.
  Warm Up Make atable of coordinates. x is the independent variable; we can add our own values of x. It's best to have at least one negative value, a zero value and at least one positive value of x. Substitute each value of x into the equation to get your y value. You now have the ordered pairsfor the graph. Plot the points and draw the line.
• 3.
  Warm Up Last one.....
• 9.
  Identifying the Domain& Range of a Function There is no need to list every point, so the smallest and largest values are given. (-∞, ∞) This domain is: (-4, 4) Notice there are no arrows at the ends. This is a finite (limited) value graph. The range is: (-2, 2)
• 10.
  Identifying the Domain& Range of a Function The domain is: The range is: (-2, ∞) (-∞, ∞)
• 11.
  Identifying the Domain& Range of a Function If y = 5, then; (5)
• 12.
  What is aFunction? A function is a relation that assigns each x-value only one y-value. In order for the relation to be considered a function, each domain (x) value can be associated with only one range (y) value. There are two ways to see if a relation is a function: 1. Mappings 2. Vertical Line Test ……….
• 13.
  Mapping to Determinea Function If no graph is available, you can use mapping to determine whether a relation is a function or not. Notice that even though there are two 2’s in the range, you only list the 2 once. -1 1 5 6 2 3 8 This relation is a function because each x-value maps to only one y-value. It is still a function if two x-values go to the same y-value. Domain Range {(-1,2) ; (1, 2) ; (5, 3) ; (6, 8)} Determine whether the following relation is a function:
• 14.
  Map the relationto determine whether it is a function 1 5 8 a b Is this a function? Yes Domain Range
• 15.
  Map the relationto determine whether it is a function { (1,b), (5, a), (5, c) } 1 5 a b c Domain Range This is not a function! The same domain value (5) has 2 different range values
• 16.
  Examples of theVertical Line Test Function Function Not a function Not a function ………. Use the verticle line test when a graph is available
• 17.
  Interpreting the Graph H e i g h t H e i g h t P e o p l e A.Cost of a laptop, past 10 years B. Drag racing before hitting tree C. World Population, last 700 years D. Person's height during lifetime E. Running up, then down a hill F. 3- point shot C o s t S p e e d S p e e d
• 18.
  Class Work: CW 3.4; DueToday
• 19.
  The Cost ofRenting a Backhoe y =20x + 50 $50 rental fee plus $20 per hour. The Process B. Which one is the independent? The dependent? Cost, # of hours
• 20.
  Functions: A ShortVideo