Math 10C: Relations and Functions PRACTICE EXAM

Transcription

1 Mah C: Relaions and Funcions PRACTICE EXAM. Cailin rides her bike o school every day. The able of values shows her disance from home as ime passes. An equaion ha describes he daa is: ime (minues) disance (meres) 5 d = -5 d = 5 C. d = + 5 d = The correc able of values for y = x is: x y x y C. x y x y A frui vendor generaes a revenue of R dollars by selling n boxes of plums a $3 each. The independen variable is: R n C. $3 Boh R and n.. Tickes o a concer cos $ each. The revenue from icke sales is R, and he number of ickes sold is n. This relaion is: Discree, because a small quaniy of ickes are sold. Discree, because ickes can be purchased in fracional amouns. C. Coninuous, because a large quaniy of ickes are sold. Coninuous, because we don know how many ickes are sold.

2 5. Nick, a salesman, earns a base salary of $6/week plus an 8% commission on sales. The amoun of money Nick earns in a week is E, and he oal value of his sales is s. Wrie an equaion ha relaes he variables. Also, how much will Nick have o sell if he earns $56 in one week? E =.8s + 6, and Nick will have o sell $75 worh of produc o earn $56 E =.8s + 6, and Nick will have o sell $ worh of produc o earn $56 C. E = 8s + 6, and Nick will have o sell $38 worh of produc o earn $56 E = 8s + 6, and Nick will have o sell $ worh of produc o earn $56 6. The domain and range of his graph using se noaion is: C. 7. The domain and range of his graph using inerval noaion is: C.

3 8. The domain and range of his graph is: C. 9. The domain and range of his graph is: C.. The domain and range of his graph is: Domain: - x 6; Range: - y 6 Domain: x ε R; Range: - y 6 C. Domain: - x 6; Range: y ε R Domain: x ε R; Range: y ε R

4 . A Ferris wheel has a radius of m and makes one complee revoluion every wo minues. Riders board he wheel a a heigh of one mere above he ground. A ride lass for hree revoluions of he wheel. The domain and range is: Domain: 6; Range: h 6 Domain: ; Range: h 5 C. Domain: 6; Range: h Domain: 6; Range: h 5 h 5. Given he funcion, he value of f(3) is: C y = f(x) 3. Given he graph of y = f(x), he value of f(3) is: -6.5 C.. 6. The bes saemen regarding he graph shown is: The graph is no a funcion because i fails he verical line es. The graph may no wrien as y = f(x). C. The graph has a one-o-many mapping of x-values o y-values. All of he above are rue.

5 5. The poin (k, -3) exiss on he graph of. The value of k is: C A speed walker walks wih a speed of 6 km/hour. If he disance walked is d, and he elapsed ime is, wrie a funcion ha relaes he variables. Also, how long does i ake for he speed walker o walk 5.6 km? d() = 5.6, and i akes 93.6 hours o walk 5.6 km. d() = 5.6, and i akes hour o walk 5.6 km. C. d() = 6, and i akes 93.6 hours o walk 5.6 km. d() = 6, and i akes.6 hours o walk 5.6 km. 7. The cos of a sandwich is $. wih wo oppings, and $5. wih five oppings. Wrie he cos funcion of he sandwich. Also, wha is he price of a sandwich wih seven oppings? C(n) =.6n +., and a seven-opping sandwich coss $5. C(n) =.n +., and a seven-opping sandwich coss $6.8. C. C(n) =.n +., and a seven-opping sandwich coss $5.8. C(n) =.n +., and a seven-opping sandwich coss $ The x- and y-inerceps of are: x-inercep: (-3, ); y-inercep: (, ) x-inercep: (-, ); y-inercep: (, ) C. x-inercep: (, ); y-inercep: (, 3) x-inercep: (, ); y-inercep: (, -3) 9. The funcion f(x) = 3x + k has an x-inercep of -. The value of k is: -6 - C. 6

6 . A mounain climber is a he peak of a mounain wih an aliude of m. I akes 8 hours for he climber o reurn o ground level. The climber can descend he mounain a an average speed of 75 m/hour. Wrie a funcion ha relaes he heigh of he mounain climber (h) o he elapsed ime (). Also, wha does he -inercep represen? h() = The -inercep is he ime i akes o ascend he mounain. h() = The -inercep is he ime i akes o descend he mounain. C. h() = The -inercep is he ime i akes o ascend he mounain. h() = The -inercep is he ime i akes o descend he mounain.. A fish acceleraes o a speed of.5 m/s in 6 seconds, holds ha speed for 8 seconds, and hen deceleraes o zero in 6 seconds. Afer resing for seconds, he fish repeas he moion - accelerae for 6 seconds, hold he speed for 8 seconds, and decelerae for 6 seconds. This graph represening his scenario is: d() d() C. d() d() The graph on he righ represens a poenial pah Naomi can ake from home o school. Which scenario maches he graph? d() Naomi walks oward he school a a consan speed, urns around and walks away from he school a a differen speed, hen resumes walking oward he school a he original speed. Naomi walks oward he school a a consan speed, urns around and walks away from he school a he same speed, hen resumes walking oward he school a he original speed. C. Naomi walks norh, hen souh, hen norh again. There is no real-world scenario ha maches he graph.

7 Relaions and Funcions - ANSWER KEY Video soluions are in ialics.. B Graphing Relaions, Inroducion (d). C Graphing Relaions, Example a 3. B Graphing Relaions, Example 3a. B Graphing Relaions, Example d 5. B Graphing Relaions, Example 7 6. A Domain and Range, Inroducion (c) 7. A Domain and Range, Inroducion (e) 8. B Domain and Range, Example b 9. B Domain and Range, Example 5a. A Domain and Range, Example 5b. D Domain and Range, Example 6. C Funcions, Example c 3. A Funcions, Example a. D Funcions, Example 3c 5. D Funcions, Example b 6. D Funcions, Example 5g 7. D Funcions, Example 6f 8. A Inerceps, Inroducion (b) 9. D Inerceps, Example b. D Inerceps, Example 3b. A Inerpreing Graphs, Inroducion (c). D Inerpreing Graphs, Example a

8 Mah C Pracice Exam: Tips for Sudens Every quesion in he pracice exam has already been covered in he Mah C workbook. I is recommended ha sudens refrain from looking a he pracice exam unil hey have compleed heir sudies for he uni. Do no guess on a pracice exam. The pracice exam is a self-diagnosic ool ha can be used o idenify knowledge gaps. Leave he answer blank and sudy he soluion laer.