Exercise II.4. Again consider the functions given in Exercise II.1(a). (a) For each part of this...

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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 following: (i) (-2)-lev, (-1)-levf₁, 0-levf₁, 2-lev f₁ (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) f₂ X2 I₂ - (iii) fs (71) f3 | := 9(x₁ − 1)² + (2+1)² – 2 (iv) f₁ (1) x values given from II.1(b) V = (-¹1); v = (3) (4) (i) fi(); x = (ii) (-1)-lev f₂, 0-lev f2, 1-lev f2, 2-lev fi (iv) 0-lev f₁, 1-lev₁, 2-lev f₁, 3-lev fa (iii) f3(-); x = v anything = 4x²+ -1 =√(2₁ + 1)² + (2-2)² (ii) f2(.); x = 3 V (1); v = (₂1) · (³); v - (2¹) V = (iv) f₁(.); x = 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)-levf₁, 0-levf₁, 2-lev f₁ (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) f₂ X2 I₂ - (iii) fs (71) f3 | := 9(x₁ − 1)² + (2+1)² – 2 (iv) f₁ (1) x values given from II.1(b) V = (-¹1); v = (3) (4) (i) fi(); x = (ii) (-1)-lev f₂, 0-lev f2, 1-lev f2, 2-lev fi (iv) 0-lev f₁, 1-lev₁, 2-lev f₁, 3-lev fa (iii) f3(-); x = v anything = 4x²+ -1 =√(2₁ + 1)² + (2-2)² (ii) f2(.); x = 3 V (1); v = (₂1) · (³); v - (2¹) V = (iv) f₁(.); 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 ... View the full answer