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I uploaded the following assignment, it would mean a lot if its done soon, thank you so much!!:) if u need clarifying anything please feel free to let me know
PRE CALCULUS 12 TRANSFORMATIONS, RADICAL AND RATIONAL FUNCTIONS. 1. Sketch the graph of y 3 x 2 15 x 18
x2 x 6 and show all asymptotes with a dotted line. i) Equation of any vertical asymptote(s)
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ii) State any restrictions or non-permissible value(s)
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iii) Determine coordinates of any intercept(s).
(algebraically)
3 marks __________________________________________
iv) Describe the behavior of the function as it approaches and leaves vertical asymptotes and/or point
of discontinuity.
_________________________________________________________________________________________
_________________________________________________________________________________________
v) State the horizontal asymptote.
_________________________________________________________________________________________
vi) State the Domain and Range
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__________________________________________________________________ 2. For the function y f x defined by the diagram below, sketch each graph on the grid provided. For each graph,
explain what change you made to y f x . Also, give the new coordinates of the point mentioned in each question. 5 5 5 5
a) y 2 f x 5 _______________________________________ 5 5 _______________________________________ 5 b) 5 4, 1 ____________ 2 y f x _______________________________________
5 5 _______________________________________
5 2, 2 ___________ c) x f y 5 _______________________________________ 5 5 5 _______________________________________ 7, 2 d) 5 ___________ y f 2x 4 3 _______________________________________
5 5 5 3. Write the equation of the transformed function y _______________________________________ 4, 1 ____________ x after the following transformations. a) A reflection in the x-axis followed by a translation of 4 units left. a)__________________________ b) A horizontal expansion by a factor of 4 followed by a translation of 3 units right and
then 7 units down. b)________________________ 4. 3x
Given the function f x x 7 , determine the equation of the inverse function, f 5. 1 Given the graph of the function y f x below, sketch the graph of y 2 f 2 x 1on the grid provided. 1 x . 5 5 5 5 5 5 5 5 5.)_____________________________
Hel-----------lo -----------Sir-----------/Ma-----------dam----------- Â----------- -----------Tha-----------nk -----------you----------- fo-----------r y-----------our----------- in-----------ter-----------est----------- an-----------d b-----------uyi-----------ng -----------my -----------pos-----------ted----------- so-----------lut-----------ion-----------. P-----------lea-----------se -----------pin-----------g m-----------e o-----------n c-----------hat----------- I -----------am -----------onl-----------ine----------- or----------- in-----------box----------- me----------- a -----------mes-----------sag-----------e I----------- wi-----------ll -----------be -----------qui-----------ckl-----------y