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uiz 6. Name: Four questions, five points each, twenty points total. Please show your work! #1. Given f(x) = x4 3x and g(x) = ,
uiz 6. Name: Four questions, five points each, twenty points total. Please show your work! #1. Given f(x) = x4 3x and g(x) = , find g f and state its domain. 2x 3x #2. Solve for the inverse of f(x) = x4 3 2x #3. Find the sum of the first 80 terms of each sequence below: a) 47, 41, 35, 29, ... b) 12, 14.64, 17.8608, 21.790176, ... #4. Graph by applying transformations to the five amigos of the basic function: f(x) = 3 - 2x + 1 Please follow the format of examples 5-6 in Lesson 68. Irx D. Lirapn I(x, -3n-o Ex 5. Graph f(x) = -3x+2 by applying transformations to the five amigos and asymptote of applylng translbrmations the parent function. 3x 3x+2 g,hif:- leff shift left by 2t ?a"ent function: function: (_", j) y -3x+2 t reflect over reflect over I bhe x-axist ':he x-axisi I (_", j) (_",_j) (_",_j) 1l 1l (-,, (-, ''3i \\ ;) io, 1) \\i, 3i f #, (-" ;) t-'3) i2, g) - 2, ic,g) I -1'l -E -;) l-"'-EJ (- 2, -1) (_ 1, _3) f (-= n) (-1, 3) ( I I (o, -gt asyrnptote: aeymVtota ag.ymptote: V=O V=O V=O I \\ I \\ I \\ I \\ t \\t *" Ex 6- Graph f(E parent function. 3x : *tr-a') o, applying transformations to the amigos/as5rmptote of the 1-3" -3\\ y )tr_s-) reilect over r;hif:- up vert. r;ornp. function: the x-axig: by one: fa&or 1/Z: ?arent '-r.1 i Br 41 (o. 1\\ '\\1.3) V=o 1' l-r.?t \\ -'gl i z. - g: , - 1, (o. - 1\\ (1. -3) v=O (-2 I I 4) ( 2\\, \\-a'-) ( ,1) (o, o) (o, I -l- (1, _2) y=1 (1, | o) _1) y=1/2 _l \\_ _ -'] t\\- ___ \\ -- f -\\
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