graph practice sheet

Assignment sheet for graph level – 2/3 1. Trace the curve and hence find the nature of the function. Discuss the periodicity if fuctions are. Find Domain and Range also. (1) |− 2| + |3− 4| − |7− 2| + |5− 9| + |9− 8| + |7− 4| (2) |− 2| + |3− 4| + |2− 9| + |7− 2| < 4 (3) |sin − 2| + |3sin − 2| + |5sin − 4| ≤ 1 (4) |sin | − 2+|3|sin | − 2|+|5|sin | − 4| ≤ 1 (5) |3− 2|. |4− 5|. |7− 2| (6) |sin − 2||3sin − 2|≤ 1 2. Starting from the graph of = sin (although you know the nature of the graph already and other essentials.) Trace the following graph of = and discuss the nature. [Use the same problems with = ] (1) sin (2) cos (3) !" (4) !" (5) sin(6) sin# $ (7) sin% $ (8) |sin | (9) sigsin (10) '()|sin |(11) sin[] (12) [sin[]] (13) [ |sin[]| ] (14) | [ |sin[]| ] (15) [sin + #] = 1 (16) |sin || + #| = 1 (17) | [ sin| + ,- . | = 1 (18) sin/# (19) sin/#| | (20) |sin/#| | | (21) [|sin/#| | | ] (22) sin/#{} (23) |sin/#{}| (24) {sin/# } (25) 2{sin/# } (26) sin/# + cos/# = 3(27) max{sin , cos } (28) min{sin , cos } (29) |y|= sin (30) [y] = sin (31) [|y|] = sin ## Find the periodicity = # 2[ ]4/%[ ]5where x = sin = | |/| !" | | 5!" | also find the intendend nature.