# Binomial Functions

Description
Test
Categories
Published

View again

All materials on our website are shared by users. If you have any questions about copyright issues, please report us to resolve them. We are always happy to assist you.
Related Documents
Share
Transcript
1 Binomial & Functions Test SL Name:__________________________ Date: 6 th  October 2014 Total: /42 marks Answer all questions on this question paper.   Unless otherwise stated in the question, all numerical answers should be given exactly or correct to three significant figures. 1.  Find the coefficient of a 5 b 7   in the expansion of ( a  + b ) 12 .   Working:  Answer:  ...................................................................... (Total 4 marks) 2.  Determine the constant term in the expansion of Working:  Answer:  .................................................................... (Total 4 marks) .2  –  92        x x   2 3.  When the expression (2 + ax ) 10  is expanded, the coefficient of the term in  x 3  is 414 720. Find the value of a . Working:  Answer  : …………………………………………..   (Total 6 marks) 4.  Consider the functions  f :  x 4(  x  –   1) and  g :  x .  (a) Find  g   –  1 . (b) Solve the equation (  f   °   g   –  1 ) (  x ) = 4. Working:  Answers : (a) .................................................................. (b) .................................................................. (Total 6 marks)   2  –  6  x   3 5.  Consider the functions  f   (  x ) = 2  x  and  g   (  x ) = ,  x  3. (a) Calculate (  f    ◦  g  ) (4). (b) Find  g  − 1 (  x ). (c) Write down the domain of  g  − 1 . (Total 6 marks) 6.  Let  f   (  x ) = ,  x      − 4 and  g   (  x ) =  x 2 ,  x     . (a) Find (  g    ◦  f   ) (3). (b) Find  f − 1 (  x ). (c) Write down the domain of  f − 1 . (Total 6 marks) 31   x   Answers:Working: (a) .....................................................(b) .....................................................(c) ..................................................... 4   x  Answers:Working: (a) .....................................................(b) .....................................................(c) .....................................................   4 7.  The diagram shows parts of the graphs of  y =  x 2  and  y  = 5  –   3(  x    –   4) 2 . The graph of  y = x 2  may be transformed into the graph of   y  = 5  –   3(  x    –   4) 2  by these transformations. A reflection in the line  y  = 0 followed by a vertical stretch with scale factor k    followed by a horizontal translation of  p  units followed by a vertical translation of q  units. Write down the value of (a) k  ; (b)  p ; (c) q.   Working:  Answers : (a) .................................................................. (b) .................................................................. (c) .................................................................. (Total 4 marks) 2468  –2  0 2 4 6  y x y = x 22  y x = 5 – 3(–4)

Jul 23, 2017

#### Predicates Sets 110223055946 Phpapp01

Jul 23, 2017
Search
Similar documents

View more...
Tags

Related Search