Function(Review( (((((((((((((((((((((Namembmorris.weebly.com/uploads/7/8/0/0/7800218/function_review_-_h… · Function(Review( (((((Name:((_____(( (((((Date:(_____((20) The school

Function  Review                                            Name:    ____________________________                                                                                                                                                                                                    Date:    _________________________  

I.    Graph  each  function  using  at  least  4  points.    Name  the  type  of  function.      State  the  domain  and  range,  end  behavior,  and  intervals  of  increase  and  decrease.    1)    f(x)  =  -­‐5         2)    f(x)  =  (x  –  2)2  +  3    3)    f(x)  =  4x  +  2         4)    f(x)  =  !

!      (only  name  and  state  the  domain  &  range)  

 5)    f(x)  =  3x                                                                                            6)    f(x)  =   𝑥  +  5    7)    f(x)  =  4x3         8)    f(x)  =   𝑥!                

9)    f(x)  =   𝑥  −  3                                                                  10)    f(x)  =  4  , 𝑖𝑓  𝑥 >  1

𝑥  –  2, 𝑖𝑓  𝑥   ≤  1      (only  name  and  state  the  domain  &  range)  

   II.    Describe  the  shifts  from  the  parent  graph.    11)    f(x)  =  3(𝑥  −  2)!  +  4       ________________________________________________________    12)    f(x)  =  !

!𝑥  +  2  −  3         ________________________________________________________  

 13)    f(x)  =  𝑚(𝑥  –  𝑛)!  +  𝑝         ________________________________________________________     0 <  𝑚 < 1      III.  Name  the  point(s)  of  intersection.    14)    𝑦   =  𝑥  −  4                                                                                                  15)    3𝑥  +  𝑦   =  12                  3𝑦   =  3𝑥  +  9                                𝑦   =  𝑥  +  2    ____________________________                   _____________________________    16)    𝑦   =  𝑥!  –  3         17)    y  =   𝑥  −  3                  y  =  −(𝑥  –  2)!                          y  =  2𝑥  +  3    ____________________________                   _____________________________      IV.    Solve  by  the  indicated  method.    18)        3𝑥    –    𝑦   =  6          (Elimination)       19)    𝑦   =  4𝑥  –  2                      (Substitution)                  −2𝑥  +  2𝑦   =  3                                                                                                                            𝑥  +  2𝑦   =  12    ____________________________                     _____________________________  

Function  Review                                            Name:    ____________________________                                                                                                                                                                                                    Date:    _________________________    

20) The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.

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21) The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.

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22) Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small box of oranges and one large box of oranges.

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23) An  object  is  launched  at  19.6  meters  per  second  (m/s)  from  a  58.8-­‐meter  tall  platform.  The  equation  for  the  object's  height  s  at  time  t  seconds  after  launch  is  s(t)  =  –4.9t2  +  19.6t  +  58.8,  where  s  is  in  meters.  When  does  the  object  strike  the  ground?      ______________________________________________    24)      An  object  in  launched  directly  upward  at  64  feet  per  second  (ft/s)  from  a  platform  80  feet  high.  What  will  be  the  object's  maximum  height?  When  will  it  attain  this  height?    Use  the  function    s(t)  =  –16t2  +  64t  +  80        ______________________________________________