Warm-up: Match the inequality with the interval notation: 4 < x < 8 A) [4, 8) 4 < x < 8 B) (4, 8] 4 < x < 8 C) [4, 8] 4 < x < 8 D) (4, 8)

HW Answers to even problems pgs 19-20 #26, 30, 35-44, 57, 61-71 odd 20. {x/ 0 < x < 8} 26. D: {8, 5, 9, 3}; R: {0, 4, 3, 8}; not a function 30. D: {0, 1}; R: {5, 3, – 4}; not a function 36. D: (–, ); R: (–, 4); function 38. D: [–2, 2]; R: [0, 4]; function 40. D: (–, ); R: [1, ); function 42. D: (–, ); R: (–, ); function 44. D: {– 2,– 1, 0, 5, 9, 10, 13}; R: {5, 0, – 3, 12, 60, 77, 140}; function type answers to even problems

MA Unit 1 Graphical Analysis of Functions OBJECTIVES and HW: Find the domain and range of a graph using appropriate notation. HW: Domain & Range WKS show website and discuss important features

What if the graph wasn’t continuous? Some functions have holes, or point discontinuities, while others have vertical and/or horizontal asymptotes. In these cases, the domain and/or range will also be discontinuous. It is easier to use interval notation and you need to use the symbol,  , which means “the union” of two sections. State the domain and range. D: R: ● ○ Use Interwrite Pad to write ans during discussion…highlight x-axis to show where domain is found and then the y-axis for the range

What if the graph wasn’t continuous? State the domain and range of each graph. A) B) Domain: Range: Domain: Range:

More examples… State the domain and range of each graph. work with partners to solve first…discuss the difference in notation with the first example and how the domain contains all values between -4 and 4 but the range only contains -3 and 2 An alternate way to write the domain and range for the last example is:

Extension Use the graph of f(x) to answer the following… domain range values of x where f(x) = 0 values of x where f(x) > 0 values of x where f(x) < 0 o o