Report 1 MAC 1147

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School

Florida International University *

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Course

1147

Subject

Mathematics

Date

Feb 20, 2024

Type

pdf

Pages

5

Uploaded by HighnessRock1713

Report I MAC1147 Name Je½\~ ~ (O \ °' lO '. 613810 i 1) Begin graphing f(x) = 2"x then use transformation of this graph to graph the given function. Be {J sure to graph and give equations of the asymptotes. Use the graphs to determine each 1-QJ" function's domain and range. Show your work. (Spts) I a) f(x) = 2" (x - 2) ~ D'. (~JtO.) <- R! (o, c»J . ~ ----- ~---- 1 D~(-v,~J b) h(x)=2"(x+2)- 1 -~ n I _ ~~ r_ '" \ ( I; "X -, -~ 2) Use properties of logarithms to expand each logarithmic expression as much as possible. Show your work. (Spts)
3) Solve each exponential equation by expressing each side as a power of the same base and then equating exponents. Show your work. (Spts) 1 5:: vn A) 32x + i = 243 :.(x: 1) B) si-x '6:1.) '2.. \ '.) s- 1 2i ~ lf g :- 2- J 4) Convert each angle in degrees to radians. Express your answer as a.multiple of rr. Show your work. (Spts) A) 350° JS-0, ;';. : JS·fi ;:: GV S) Convert each radians in degrees. Show your work. (Spts) A) Sn ~xi So 4 - 6) 0 Is an acute angle and sin0 and cos0 are given . Use the identity to find the other four remaining trigonometri\functions. Show )our work. (Spts) r l 8 15 To":'~~ / l~} ~ S«.loSl•J J CScCQ)~ i "ui) A) sin0 = - and cos0 = - (! ~ J I::( (:: + m 17@ $1 1T ?l I 'I\'\ - @J W :l} ]/rt, fill PIQJ
I 7} Find a cofunction with the same value as the given expre ss ion. Show yo ur work. (Sp ts) 8) De termine the amplitude, period, and phase shift of each function. Show your work. (Spts) \, ~ ,,~,r ·ncx - 27r ·. · ------ ' ~rl'l>"t : 2,~ P~S~-7 4'x.-~ I to}~~,\~ ")\ Jr U "'J.r-_ - ~lt 2z:: l~--z----0 P! ¥ . ttx~ 1f !'~05, : .:0_" hi J{,P I l'!lfj-- ~ -, - J t) 9) Fi nd fhe exact va lue of each expression. Show your work. (S p.l s) ;., A) . -11 S}"(f'~i: m sm - 2 B) - 12./3 sec - 3 sdE)-~ •13:J i ~ s - J
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