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Exercise II.4. Again consider the functions given in Exercise II.1(a). (a) For each part of this exercise, on one set of axes graph the
Exercise II.4. Again consider the functions given in Exercise II.1(a). (a) For each part of this exercise, on one set of axes graph the following: (i) (-2)-lev, (-1)-levf, 0-levf, 2-lev f (iii) 0-lev fa, 1-lev fa, 2-lev fa, 3-lev fa (b) For each function f(-) and given x in Exercise II.1(b), find the smallest level set that x belongs to, and display on a graph that level set with Vf(x) also sketched in. Functions from II.1(a) 21 x1 (i) fi = x + x -2 (ii) f X2 I - (iii) fs (71) f3 | := 9(x 1) + (2+1) 2 (iv) f (1) x values given from II.1(b) V = (-1); v = (3) (4) (i) fi(); x = (ii) (-1)-lev f, 0-lev f2, 1-lev f2, 2-lev fi (iv) 0-lev f, 1-lev, 2-lev f, 3-lev fa (iii) f3(-); x = v anything = 4x+ -1 =(2 + 1) + (2-2) (ii) f2(.); x = 3 V (1); v = (1) (); v - (2) V = (iv) f(.); x =
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a i Graphing 2lev 1lev 0lev 2lev I have graphed the level sets 2 1 0 2 on the same set of axes The 2 ...Get Instant Access to Expert-Tailored Solutions
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