Homework  8   Name:_____________________________  Period:_______      Due:  3/21/14      1. Use  each  equation  to  find  the  missing  domain  and  range  values.  

 

   2. In  which  of  the  following  sets  of  points  is  y  a  function  of  x?  (Circle  all  functions)    (Optional:    Can  you  write  the  function  for  

the  ones  you  circled?)    2, 2 , 2, 2 , 3, 3 , 3, 3       2, 4 , 3, 6 , 2,−4 , 3,−6     4, 2 , 4,−2 , 9, 3 , 9,−3  

 1, 4 , 3, 6 , 5, 8 , 7, 10         1, 0 , 3, 0 , 5, 0 , 7, 0     1, 1 , 2, 3 , −2,−5 , 3, 5  

 1, 4 , 1, 6 , 1, 8 , 1, 10         1, 1 , −1, 1 , 2, 2 , −2, 2     0, 0 , 1, 3 , −1,−1 , 2, 8  

 3. Label  each  graph  as  a  function  or  not  a  function.  

   

4. Label  each  table  as  a  function  or  not  a  function.  

 5. Identify  the  range  and  domain  of  each  function.  

   

 

   

6. For  each  relationship,  identify  the  independent  and  dependent  variable.    Then  sketch  a  reasonable  graph  for  each  situation  and  label  the  axes.    a. The  temperature  of  milk  and  the  length  of  time  it  has  been  out  of  the  refrigerator.  

   

b. The  number  of  cars  on  the  highway  and  the  level  of  pollution  in  the  air.      

c. The  temperature  of  a  pot  of  water  as  it  is  heated.      

d. The  distance  from  a  Ferris-­‐wheel  rider  to  the  ground  during  to  revolutions  (times  around).      7. Sketch  a  graph  of  a  continuous  function  to  fit  each  description.  

 a. Linear  and  increasing,  then  linear  and  decreasing.  

   

b. Neither  increasing  nor  decreasing      

c. Increasing  with  a  slower  and  slower  rate  of  change      

d. Decreasing  with  a  slower  and  slower  rate  of  change,  then  increasing  with  a  faster  and  faster  rate  of  change.      

e. Increasing  with  a  slower  and  slower  rate  of  change,  then  increasing  with  a  faster  and  faster  rate  of  change.        8. Find  each  unknown  function  value  for  ! ! = 4! − 7    and  ! ! = −3! + 5.  

 

   9. Use  the  graph  of  ! = !(!)  to  answer  each  question.  

   Review  (Required)    1. Use the properties of exponents to rewrite the expression: 2!!! !(!")!

2. Which expression is equivalent to: !!! ∙ !!!

3. Kate deposits $100 in an account that pays 5% compound interest annually. She makes no other deposits or withdrawals. What equation can be used to calculate the amount, s, in Kate’s account for any year, n?