Functions Questions and Answers

is a face card is a black card and a face card X S

A bag contains seven tiles labeled a B C D E F and G One tile will be randomly picke What is the probability of picking a vowel Write your answer as a fraction 0 010

Evaluate 5151 2 7 Simplify your answer as much as possible 0 00 010 03

Dr Patterson is a veterinarian who sees only dogs and cats In each appointment he may or may not give the animal a vaccine The two way frequency table summarizes Dr Patterson s 80 appointments last week Dog Cat Vaccine 27 12 No vaccine 33 8 Let cat be the event that a randomly chosen appointment from the table involved a cat Let vaccine be the event that a randomly chosen appointment from the table included a vaccine Find the following probabilities Write your answers as decimals a P cat b P vaccine and cat c P vaccine cat

A university class has 23 students 4 are nursing majors 8 are art majors and 11 are accounting majors Each student has only one of these majors The professor is planning to select two of the students for a demonstration The first student will be selected at random and then the second student will be selected at random from the remaining students What is the probability that the first student selected is a nursing major and the second student is an art major Do not round your intermediate computations Round your final answer to three decimal places X

In a big cooler in the kitchen there are the following drinks 17 bottles of soda 7 cans of soda 8 bottles of juice and 9 cans of juice Martina just came in from playing outside and is going to choose one of these drinks at random from the cooler What is the probability that the drink Martina chooses is in a can or is a juice Do not round intermediate computations and round your answer to the nearest hundredth

Deandre is playing a carnival game He is blindfolded while he throws a dart at a board of 12 balloons as shown below Each balloon is labeled S for small M for medium L for large or XL for extra large The board has 1 small balloon 2 medium balloons 2 large balloons and 7 extra large balloons He hits one of the balloons at random and wins a stuffed animal of that size XL XL XL M XL M XL L XL XL a Find the odds in favor of Deandre winning an extra large stuffed animal b Find the odds against Deandre winning an extra large stuffed animal 0 00 X 0 0 Oto O

a An experiment involves 32 participants From these a group of 4 participants is to be tested under a special condition How many groups of 4 participants are possible 1 b How many different committees of size 3 can be formed from 15 people

De Select one More on Trigonometric Functions Question 5 T What is the degree equivalent of 12 0 O 30 O 45 O 15 O 10

De Select one 6 De More on Trigonometric Functions Question 2 1 Which function has an amplitude of period of 2 5 and midline of 2 7 O O 8 1 x cos x 2 f 5 x 1 cos x 2 f x sin 5x 2 9 10 f x 2 sin 5 x 2

01 De Select one 60 More on Trigonometric Functions Question 1 In which quadrant is the terminal side of 225 Y located x C O IV 11 4 II 3 2 41 4 2 2 3 4 2 3 44 IV It is a quadrant angle located on an axis between two quadrants

a Select one More on Exponential Functions and Equations De De 10 An exponential function contains the points 2 121 and 3 133 1 What is the exponential function that contains these points Of x 110 1 01 Of x 100 1 1 Of x 12 1 Question Of x 84 1 2

a 6 Select one a More on Exponential Functions and Equations a 1 An exponential function contains the points 1 0 9 and 2 1 62 What is an exponential function that contains these points O y 2 0 9 O y 0 5 1 8 O y 0 9 Question O y 0 5 0 9

81 More on Exponential Functions and Equations Find the solution to the equation Select one De 4 3 14 O x log18 3 O x log10 3 x log3 18 O x O x log3 10 QU 2

equation using the quadratic formula 5x 2 4x 2 The solution set is Simplify your answer Type an exact answer using radicals and i as needed Use integers or fractions for any numbers answers as needed

Next question Solve the polynomial equation by factoring and then using the zero product principle 2x 1 2x x2 6 Find the solution set Select the correct choice below and if necessary fill in the answer box to complete your choice OA The solution set is Use a comma to separate answers as needed Type an integer or a simplified fraction OB There is no solution

x y 211 18 05 12 2 1 Use the given information to create a possible representation of the relation Explain what other information would add more detail to the graph Key Features y intercept is 3 x intercepts are 4 and 2 y intercept is 4 and the slope is 5 An axis of symmetry passes through the point 5 3 The parabola opens up Zeros are 7 and 1 Representation xy

8 Identify three financial considerations during retirement

7 Explain the advantage of saving for retirement early

100 50 That s right 100 50 50 100 50 100 b Determine what type of function best models the data linear power O quadratic cubic quartic c Find the equation that is the best fit for the data 100 50 50 X 100 100 50 50 100

Automobile Production Table 1 shows the retail market share of passenger cars from Ford Motor Company as a percentage of the U S Market Table 1 Ford Motor Company s Market Share Year Market Share 1975 23 6 1980 17 2 1985 18 8 1990 20 0 1995 20 7 A What quadratic equation M x best fits the data where x 0 corresponds to 1975 Use 4 decimal places in your answer M X WO B Use the equation to estimate Ford s share of the market as a percentage in 2000 Use 4 decimal places in your answer In the year 2000 it is estimated Ford s share of the market was

The table below shows ticket prices and actual revenues from past events Price 4 5 6 7 8 9 10 11 12 Actual Revenue 2 012 Revenue 2 275 2 352 2 506 2 616 2 529 2 330 2 079 1 824 3000 2000 1000 0 Predicted Revenue R X 1920 2 200 2 400 2520 2560 2 520 2400 2200 1 920 Residual 92 75 48 Part A Plot the given data price actual revenue on the graph below Then use the model you wrote in Item 2 to fill in the predicted revenue column in the table Finally f in the residual column 14 56 4 8 12 16 Price per Ticket 9 30 121 96 Unit 2 Final QPA X

Recall Carol s plans to plant 4 tree seedlings in the yard She wants to buy bark mulch to place in a circle with a 48 inch diameter around the base of each tree She has been told to lay the mulch 3 inches deep The mulch is sold in bags containing 2 cubic feet for 4 49 Calculate the charge for the mulch including 7 5 sales tax What is the total charge Carol will have to pay to complete her mulch proiect

Name 19 Over what interval does f x 3 A 0 x 3 C 0 x 2

1 The graph of g x ax opens downward and is narrower than the graph of f x x Which of the following could be the value of a A 3 B 0 6 C 0 5 D 2 2 What is the average rate of change of the function f x 2x x 5 over the interval 2 s x 2 A 4 B 1 C 1 D4 3 Which statements about the graphs of functions g x all that apply A g is wider than f B c f and g open in the same direction f and g have the same vertex thr D f and g have the same axis of symmetry X 4 Over what interval is the function increasing x y 4 8 2 2 0 0 2 2 4 8 4 2 0 2 4 y x 8 2 0 2 8 and f x x are true Select S S10

95 Confidence Interval WW p 1 96 W W 0 42 2 R 24 0 42 PC 57 p 1 p 1 M C 1 zC m 0 42 1 96 24 0 42 1 0 42 1 27 57 1 2 57

Question 1 13 4 1 ght are the probabilities and values ass s of an experiment Calculate the expe ent

On the day a video wa doubled Assume the 1 On which day w 2 What strategy w the trend contin

Solve 3x 15 3 x 1 Part A What are the solutions to the equation Select all that apply Part B 2 3 8 13 No solutions When solving a radical equation is it necessary to check the solutions Explain nen explain how your reasoning applies to the given equation

5 is t inter 201 7 of 15 Consider the function f where f x 4 x 2 x 1 x 3 Part A What are the zeros of f Enter the zeros from least to greatest and Part B Select from the drop down lists to correctly describe the graph of f The portion of the graph located to the left of the leftmost zero is The portion of the graph located between the leftmost zero and center zero is The portion of the graph located between the center zero and rightmost zero is The portion of the graph located to the right of the rightmost zero is he end behavior is as f x the x axis and as x f x the x axis the x axis the x axis Answer Choices Above Below Above Below Above Below Above Below Negative infinity Infin

A radioactive Isotope decays at a rate proportional to the amount present If the Isotope has a decay rate of 12 10 per thounsands of years and the current amount of the isotope is 135 2 mg How much of the isotope will remain after 2 2 thounsand years Round your answer to the nearest tenth Write the value of each variable If the value is unknown write a write only the numerical value no units 1 y 2 a 3 r 4 t

N O matics I and torial Test D Note You may repeat this tutorial Given the joint distribution X of Red 0 1

available spots for equity artists and another 10 for touring artists First ping pong balls representing each equity artist are placed into a basket and drawn to fill the equity reserve Then ping pong balls representing each touring artist are placed into a basket and drawn to fill the touring reserve Finally balls remaining in these two baskets are combined and a ping pong ball is added for each artist that was not eligible for either reserve Balls are selected from this combined pool until all spots are filled Which of the following statements do you most agree with The current implementation of equity reserves functions like a minimum guarantee reserve The current implementation of equity reserves functions like an over and above reserve The current implementation of equity reserves is neither a minimum guarantee reserve nor an over and above reserve 28 1 point Explain your answer to the previous question

Use the figure on p 21 to find the a annual base premium and b annual premium All po 50 deductible for both comprehensive and collision 4 Jill Wilson uses her vehicle primarily for pleasure She has 100 300 bodily injury and 50 000 property damage coverage Her driving rating factor is 1 00 Her vehicle is classified as A 14 2 points A B

GENERATION Z 80 of purchases made by this gene social media The channels making the biggest impact are Instagra Snapchat 21 YouTube 32 and other social media platforms 3 Genz also responds well to social media influencers and user generated content a In a sample size of 75 people how many Gen Zers are NOT influenced by social media when making purchases b In a sample size of 75 people how many Gen Zers are influenced by social media when making purchases c How many Gen Zers are influenced by 1 ii I Instagram Snapchat Youtube Iv Other Social Media Platforms d Sketch a visual to represent this data HINT the pie chart total should b based on the original sample size of 75 people

Question 1 of 10 Which polynomial represents the sum below 8 2x 1 2x x 1 OA x 6 16x x 2 OB 8 8x 2x 2 OC 16x x 2 OD x 4x x 2 SIFS MIEGMANE Deprelungstan DERATION REGION Sereniss mimp amenides CHUMBER PARALLEL SATA JAUN chip de teleind BREZAYEDE UNDE 1677 47 CARRIER

Use the following graph to obtain the graph of the function found by replacing sin with its reciprocal function Give the equation of the function for the graph that you obtain 1 y sin 3 6t What is the equation of the reciprocal function y Type an expression using x as the variable Use integers or fractions for any numbers in the expression

found by replacing cos with its reciprocal function Give the equation of the function for the graph that you obtain 0 6 0 4 0 24 V 2 3 y cos 3xx 3 y Type an expression using x as the variable Use integers or fractions for any numbers in the expression

CP Links History Bookmarks Pr D2L Homepage MAT172 N820 Pr X M Gmail ALEKS La www awu aleks com alekscgi x lsl exe D2L Brightspace OGRAPHS AND FUNCTIONS Translating the graph of a function O a The graph of y f x is shown Translate b The graph of y g x is shown Translate

O TRIGONOMETRIC FUNCTIO Domains and ranges of What are the domains and rang Function V cotr Domain Choos

Directions Complete the following 2 FRQ problems They each have 4 parts a d associated with them and each are out of 9 points total 1 Particle A is moving along the x axis Let f be the continuous function defined on 4 6 whose graph is given below Let g be the function given by g x f t dt that represents particle A s position such that g 0 0 3 2 d Evaluate lim x 0 1 g x x 4x x 4 3 0 y Graph off 2 3 a Find the values of g 4 and g 6 b For each of g 2 and g 2 find the value or state that it does not exist c How many inflection points are there on the closed interval 4 6 Identity the x coordinate s if there are any 5 6 x

Brightspace GRAPHS AND FUNCTIONS nslating the graph of a function One step aph of y f x is shown Translate it to get the graph of y f x 2 aph of y g x is shown Translate it to get the graph of y g x 5 Part a 8 6 4 6 8 X

D2L Homepage MAI 1 2 N8ZU PIX CO CP Links M Gmail www awu aleks com alek D2L Brightspace OGRAPHS AND FUNCTIONS Translating the graph of Below is the graph of y x Translate it to make it the grap H

Dalya plans to contribute 550 at the end of every half year to an investment that earns 3 compounded monthly If Dalya starts contributing on her 38th birthday how much will she accumulate by her 63rd birthday For full marks your answer s should be rounded to the nearest cent Future value 0 00

2 Let A x f f s ds for 2 6 The graph of f is graphed below 2 1 3 a How many roots does A x have What are the x coordinate s if any b On what interval is A x increasing Justify your answer c Find the critical values of A x and determine the relative extrema d Find all inflection points of A x for 2 x 6 Explain your reasoning 6

You and your spouse are in good health and have reasonably secure jobs Each of you makes about 42 000 annually You own a home with an 165 000 mortgage and you owe 12 200 on car loans 6 600 in personal debt and 3 250 in credit card loans Funeral expenses are estimated at 7 500 You have no other debt You have no plans to increase the size of your family in the near future Estimate your total insurance needs using the DINK method Total insurance need LA

single card is selected from an ordinary deck of cards The sample spat Hearts red cards MITGEREITZ LIMERIZE Diamonds red cards Clubs black cards a P six of hearts b P six Spades black cards c P heart

8 2 K Ques If a dealer buys a car from the n In doing this problem Angela ca make

mal Homew G Use the Central Limit Theorem to find th The monthly rents for studio apartments drawn from the population and the mean

U v w For which values r ER is the set u v w linearly independent