Unit 4 Packet Honors Common Core Math 2 1

Transcription

1 Unit Packet Honors Common Core Math Day : Homework On graph paper, graph each absolute value equation. Also indicate the domain and range. Write an equation or each translation. Also indicate the domain and range or the translation.

2 Unit Packet Honors Common Core Math Each graph shows a translation o y = -. State the values o h and k. Then, write an absolute value equation or the translation. ) ) The graph shows an absolute value unction ater a translation units up and units let. Write the equation o the original unction.

3 Unit Packet Honors Common Core Math Day : Homework Sketch the graph o the unctions. State the domain and range and tell how they changed rom the parent graph.. y. y 6. y 7. y 8. y 9. y

4 Unit Packet Honors Common Core Math Graph the ollowing cube root unctions. Then state the domain and range o each unction.

5 Unit Packet Honors Common Core Math Day : Homework (odds) On a sheet o graph paper, graph each equation. Identiy the asymptotes. Remember to also sketch the asymptotes. 7. Budgeting A high school spends $7 each year on student academic achievement awards. The amount spent per award depends on how many awards are given. Write and graph a unction o the number a o awards given and the cost c o each award. Find the asymptotes. Eplain how the asymptotes are related to the given acts.

6 Unit Packet Honors Common Core Math 6 Day : Homework Evaluate the ollowing: () [.] = () [.] = () [-π] = () [.6] = () [-6] = (6) [-.] = (7) [] = (8) [-.6] = Solve the ollowing equations or and write the answers in set notation: (9) () [ ] **() [ ]. Using what you learned about the translations o y = a b( h) + k, graph the ollowing. Then describe how they are changed rom the parent graph. () () = [] - g () = [ - ] Prior to September,, tai ares rom Washington DC to Maryland were described as ollows: $. up to and including ½ mile, $.7 or each additional ½ mile increment. () Describe the independent and dependent variables and eplain your choices. () Graph the ares or the irst : (Make sure to label the aes.)

7 Unit Packet Honors Common Core Math 7 Etension Shipping Your riend calls you on your cell to tell you about a great sale at an online store or some supplies you need or a school unction. You ind out that the shipping cost to get it in days is $. or the irst pound and $.6 more or each additional pound. You decide you can only spend $ or shipping. ) What is the domain o the cost unction or shipping a package? ) What is the range or this cost o shipping unction? Make a sketch o what the graph would look like. Etension Functions Review Graph each o the ollowing unctions to conirm and to deepen your understanding o the solution. Determine the domain, range, and key eatures o each o the ollowing unctions. ) y = ) y = ) y 6) y 7) y 6

8 Unit Packet Honors Common Core Math 8 Day Homework Careully graph each o the ollowing. Identiy whether or not the graph is a unction. Then, evaluate the graph at any speciied domain value. You may use your calculators to help you graph, but you must sketch it careully on the grid!. ) ( Function? Yes or No. ) ( Function? Yes or No 6

9 Unit Packet Honors Common Core Math 9. ) ( Function? Yes or No 8. Function? Yes or No

10 Unit Packet Honors Common Core Math. ) ( Function? Yes or No 6. ) ( Function? Yes or No

11 Unit Packet Honors Common Core Math Homework Day 6 Graph each piecewise unction. State the domain and range. ) g i i Domain: Range: ) + i i Domain: Range: i ) i 8 i 6 Domain: Range:

12 Unit Packet Honors Common Core Math Evaluate the piecewise unction, m(). I there is no value or the given input, write, undeined. 6 i ) m i i a) m b) m c) m Write the piecewise unctions and their restrictions or the graphs below: ) 6) 7) Shelly earns $8 an hour. She earns $ an hour or each hour over that she works. a) Write piecewise unctions that represent the money earned by Shelly or when she works regular hours and overtime hours. b) Sketch a graph o Shelly s earnings versus the number o hours that she works up to 6 hours. c) How much money will Shelly earn i she works 7 hours in one week?

13 Unit Packet Honors Common Core Math Day 7 Homework: For each o the ollowing tables o data, Graph the points (on your own graph paper!!!). Find a power unction that models the data. Determine whether the unction is direct or inverse variation. Fill in the missing values in the table. Distance o a race Finishing Time mile. min..7 min. 9 min. Power unction: 8 8 min. 7. min min 6. Direct or Inverse? What distance was the race i the inishing time was. min?. Time spent digging a hole (hrs) Number o people working Power unction: Direct or Inverse? How many people were working i they spent 6 hours digging?. Time spent at work hrs. hrs. hrs. hrs. hrs. Pay check amount ($) hrs. hrs. 9 hrs. 6 hrs. hrs. Power unction: Direct or Inverse? About how long would you have to work to make $? For each equation, determine the type o symmetry and which graph it would be most similar to o,, -, and -. y =. y = y = ½ - 7. y = /6 8