AFM Homework 4-1 Functions Date Period

Transcription

1 Name 4- Functions Date Period Directions: adetermine if the graph is a function b Find the domain and range of the graph c Identify where the graph is increasing/decreasing/constant.. Dec:

2 4- Functions

3 Name 4- Finding Domain w/o a Graph Date Period Find the domain of given functions..!!!! + 8.!!!!!!.!! 5 9. h!!!!!!!!!.!!!!!! 0.!!! !!!!.!!!!!!!! 5.!!!!!!!.!!!! + 4! 5 6.!!!!!!!!!.!!!!!!!! 7.!!!! +! 8 4.!! 8!

4 AFM Name ID: Homework 4- Evaluate each function. ha a + ; Find h9 wa 4a + ; Find w8 Date Period p 5; Find p8 4 f n n ; Find f 9 5 ht t ; Find h0 6 kt t ; Find k0 7 h 4; Find h 8 g 4 4; Find g 9 gn n + 5; Find gn + 0 hn n ; Find h4n pt t t; Find pt ha a 4; Find h a U Ih0F^6D vksuztsam gswozfhtuwbasrne^ ^LHLiCi.o H wazlalf RrpiAgGhutLsa Ir[eFsTeKrovAeydO.j s gmkagdyel QwBiMtUh] aidn]fxiansistmef IA]lJgPebqrDaN l. Worksheet by Kuta Software LLC

5 Name 4-4 Parent Function Discovery Date Period # - 6 Give the name of the parent function and describe the transformation represented. Sketch a graph of the parent function and the new function.. g Name: Transformation:. f - Name: Transformation:. h - Name: Transformation: 4. g - + Name: Transformation: 5

6 4-4 Parent Functions 5. f Name: Transformation: #6-8 Identify the domain and range of the function. Describe the transformation from its parent function. 6. g + 5 Domain : Range : Transformations: 7. h - + Domain : Range : Transformations: 8. h Domain : Range : Transformations: 6

7 Name 4-5 Functions Date Period Draw the parent function using a dotted line. Then sketch the final graph using a solid line. Describe each transformation and identify the domain and range of the final graph..!!!! + Parent Transformation:.!!! + Parent Transformation:.!!!!! + Parent Transformation: 4.!!!! + Parent Transformation: 7

8 5.!!!!!! Transformations Parent Transformation: 6.! 4 +! Parent Transformation: 8

9 Algebra YL Name 4.4 Graphing Piecewise Functions Worksheet Date Period if. f if,. f 5, <,. f,, 4. f,, < < +, 0 5. f +, 0 6. f +, + 4,

10 4, 7. f +,, 0 8. f, 0 9. f 4,,, <, < 0. f +, 4. f, 4, 4 + 4,. f 6, +, 6 <

11 .8. Piecewise Function Worksheet Page Integrated Unit Name.8. Piecewise Function Worksheet For problems -, evaluate the function for the given values of. 0, 0, if if f +, 5, g, 4, h. f. f -4. f 0 4. f ½ 5. g7 6. g 0 7. g - 8. g 9. h-4 0. h -. h -. h 6 Graph the function.. +,, when when f 4. + <,, when when f Match the piecewise function with its graph. 5., 4, f , f 7. +,, f 8. < + 0 4, 0, f 9. < 5,, f 0. 5,, f

12 Write the function for the given graphs.... Graph the step function., when 4 < f, when < 4. Write the step function. 5. You have a summer job that pays time and half for overtime. That means, if you work more than 40 hours in a week, your hourly wage for the etra hours in.5 times your normal rate of $7 per hour. a. Write a piecewise function describing your weekly pay, P in term of the number of hours worked, h. b. How much will you get paid if you work 47 hours? c. How much will you get paid if you work 0 hours?.8. Piecewise Function Worksheet Page

13 Name 4-8 Application of Piecewise Functions Date Period. You are a buyer for a grocery store and you are asked to purchase potatoes for the grocery store. The distributor of potatoes tells you that if you buy up to 50 bushels of potatoes, you will pay $40 per bushel; and for each bushel you purchase above 50 bushels, you will pay $0 per bushel. a. How much will your grocery store pay in total if you decide to purchase 40 bushels? 60 bushels? 00 bushels? b. Write a function which has as its input values -values the number of bushels of potatoes purchased and outputs the total amount of money that your grocery store will pay for the potatoes.. A certain country taes the first $0,000 of an individual s income at a rate of 5%, and all income over $0,000 is taed at 0%. a. Al makes $6,000. Betty makes $6,000. How much is each taed? b. Write a piecewise function T that specifies the total ta on an income of dollars. c. Catina is taed $5000. What is her income?

14 4-8 Application of Piecewise Functions. A museum charges $40 for a group of 0 or fewer people. A group of more than 0 people must, in addition to the $40, pay $ per person for the number of people above 0. For eample, a group of pays $44 and a group of 5 pays $50. The maimum group size is 50. a. Find a function, C f, that represents the cost as a function of the number of people going to the museum. b. How much would the museum charge for a group of 8? Group with 5 people? 4