Functions Questions and Answers

Let p and q be the propositions p It is sunny q It is hot Which of the following is a symbolic form of the proposition It s hot but not sunny Op q O qv p Oqhp O q p

Solve for x 1 3 x 2 0 1 1 2 2 5 5 2 2 2 x 3 4

Given f x 1 and g x 2 find f x g x

What is the end behavior of the following function x 8 x 3 x

What is the end behavior of the following function 28x

2076 9086 jaye 19400 78950165400 You Try If you were to graph the fourth equation in the piecewise function where would you ex last point in that equation to be Explain your reasoning You Try What are the monetary implications of the fact that the slope of the last segment of the piecewise function is greater than the slope of the segment preceding it

0 10x 0 12x 388 0 22x 8 283 Graph the function on the appropriate interval x 19 400 19 400 x 78 950 78 950 x 168 400 You Try If you were to graph the fourth equation in the piecewise function where would you expect the last point in that equation to be Explain your reasoning

Given the following functions which function has greatest rate of change A f x x 10 B f x x 2 Of x 5x 1 D f x 2x 4

2 Carlos and Jane work at the local bowling ally Carlos can oil all eight lanes in five hours Jane can oil all eight lanes in nine hours How long would it take them to oil all the lanes if they worked together

Consider the following function 3x 2 y What is the range Range is all real numbers except 1 Range is all real numbers except 1 3 Range is all real numbers except 3 Range is all real numbers except 2 3

Fill in the blanks in the table below Fill the following function tabl y 4x 17 xy 537

Is this a function OA 10 3 A yes B no 5 7 2 2 3 5

Evaluate 2 and z when z 10 and when z 10 When z 10 2 100 and z 100 When z 10 2 and 2

4 10 13 50 00 8 11 ra 9 J 12 14 15 16 17 18 en 0 18 59 10 6760066 9 WAGE Dollars per worker 43 2 1 10 Bella Rodriguez Attempt 20 30 40 50 60 70 80 90 LABOR Hundreds of workers

Find five ordered pairs to the equation y 3x 2 Then determine its graph X 2 1 y 4

Question 28 1 point Inflation causes a rise in both real GDP and nominal GDP real GDP but not nominal GDP nominal GDP but not real GDP neither nominal GDP nor real GDP upt 1

A patent is O A technology that improves productivity The legal protection of an innovation for 70 years O The share of a company traded on the stock market The legal protection of an innovation for up to 20 years

Graph the equation Let x 36 24 12 0 12 24 36 1 12 y Complete the table below X 36 y

Find the x and y coordinates of point G The coordinates of G are Type an ordered pair

K Evaluate 2 and 2 when z 10 and when z 10 When z 10 2 and 2 0 HUDE THE RE Se C TRIMMENS HEOSVE 27 PREST AGNES ROSE Spears SU

Evaluate the expression for x 5 4 x 3 4 x 3

Consider the polynomial function 1 172 1 WITH MIN HORAR 10 Which equation best represents the graph of the polynomial function A f x x 4x x 6 B x x 4x x 6 f x x 4x x 6

Consider the graph which models the distance an employee is from the workplace f x while running errands for x hours before arriving to work for a shift Distance from Work in miles A 0 5 hour B 1 5 hours C 3 0 hours D 5 0 hours 20 18 16 14 12 10 8 0 1 Time in hours If the data is modeled as a polynomial function when does a relative maximum of the function occur 1 What are the key words 2 What do the words mean 3 What did the question give you 4 What is the question asking 2 3 4

What is the smallest zero of h x x 2x 5x 6 6 What are the Keyword s 7 What do they mean 8 What is the question asking you to do 9 How could you solve this problem 10 What is the best answer

A quartic function is shown in this table BUD X C 2 1 0 1 2 What is the difference between the minimum value of f x and the minimum value of g x x 4x 8 A 2 units 4 units 10 units 14 units f x 14 1 2 1 14 1 What are the Keyword s 2 What do they mean 3 What is the question asking you to do 4 How could you solve this problem 5 What answer choice is best

Systems of Equations For the following system of equations and its graph identify the solution to the system of equations and identify which graph goes with which equation Identify the Solution to the System of Equations as an Ordered Pair Write DNE if the Solution does not exist Write oo oo if infinitely many solutions exist Solution Match each of the equations with its proper graph A Red Line B Blue Line 2x y 1 12 V 7 7 Next Question 15 10 5 System of Equations 2x y 1 4x y 7 B P ADD H 10 16 5 45 15 10 5 10 12

erm Exam Prep Quiz K Solve the problem relating to the If a 13 inch wide rectangle is to

Question 23 Consider the equation 2 10x 24 0 A First use the completing the square process to write this equation in the form z D E and enter your results below 1 10x 24 0 is equivalent to HE Preview left side of eqn B Solve your equation and enter your answers below as a list of numbers separated with a comma where necessary Answer s

Solve for I give your answer as a reduced fraction if necessary 4 1 3 I 9 7 6 1 3

Use the Empirical Rule 68 95 99 The time between infection with distribution with a mean of 8 year Find the time interval in which 95

Solve the equation m 12m 0 by factoring m If there is more than 1 solution separate the values with a comma Question Help Video Subm

Question 11 Solve for using the square root property T 30 0 Entry Tip Do not use a decimal approximation for square roots To enter a number like 5 7 type 5 sqrt 7 Preview your answer before submitting Furthere Tip Write your answers as a list with your answers separated by a comma s For example if you get 4 and 2 as your answers then enter 4 2 3 in the box 3 Submit Question

Find the sample standard deviation The top five scores on last semester s midterm were 90 97 100 90 93 3 6 10 0 4 4

What vehicle are you buying Describe your vehicle or include a printed picture of you vehicle 2 Cost of your vehicle Research the MSRP on the vehicle that you would like to buy and complete the table below Car Sale Price Destination Charge Documentation Fee Registration Fee Title Fee License Plate Fee Public Safety Fee Air Quality research Fee Subtotal Sales Tax rate of 6 3 Total Price b What will you pay for your car over the lifetime of the loan 995 250 c What was your finance charge for the loan 8 3 Financing You have decided to put a down payment of 10 of the MSRP of your vehicle Then your bank offers you a 5 year loan at 6 25 interest a What is your monthly payment 4 12 32 1 50 4 Gas The average gas price in Arizona is 3 49 gallon Research the fuel efficiency miles per gallon of your vehicle and answer the following questions a What is the fule efficiency of your vehicle

Given M find M and show that M Ma M Find M 10 81

32 84 0 2 2u 160 0 U all real solutions for each of the following equations Give exact solutions don t use decimals and separate multiple solutions with commas If there are no real solutions type DNE

62 42 16 0 If you have two rational solutions list them separated by commas for example If you have two irrationl solutions type Question Help Video 5 2 3 5 as 5 2sqrt 3 5 25 3 2 type 2 3 5 2

Score 4 5 100 2 35 answered Question 21 I tions Use the quadratic formula to solve 4z 28 0 Simplify your answers using square roots as needed If there is more than 1 solution separate the answers with a comma Question Help Video Submit Question

MATH1111 College Algebra Synchronous Live Online 40018 U2 L5 HW Quadratic Equations Score 4 5 100 2 35 answered Question 22 What is the discriminant of the equation ar bx c 0 D Submit Question www Less

Consider the quadratic equation 47 42 7 0 State the values of a b c in the standard form of a quadratic equation a b C Determine the value of the discriminant D Since the discriminant is Select an answer Hint Enter the number of real solutions there will be solutions to this equation

Solve 71 19 6 0 0 3 0 7 2 0 0 2 73 2 JIN NO 7 3

Question 7 1 Plot the inequality on the given number line Toggle the Dot or Open Dot button to place the correct dot on your line before you submit your answer AMI1 2044245432 201234 5 6 7 9 10 Clear All Draw 5 O 2 Write the inequality using interval notation Use oo two lower case o s for oo

ine which statement matches each inequality 10 10 10 10 a Regina must work at least 10 hours b Regina is working to earn more than 10 c Regina can own up to 10 fish d Regina gets a discount until she ir 10 u

Solutions to Inequalities Determine which of the following are true statements Check all that apply 10 6 is a solution to 7y 36 8 1 is a solution to x 3y 13 7 10 is a solution to 9z 6y 1 4 5 is a solution to 8x 4y 2 52

Solve the following inequality y 2 6 1 Graph

Question 23 Solve the inequality Then graph the solution and give interval notation 3 2x 1 3 5 4 3 2 1 0 1 2 3 4 5 Clear All Draw O Interval notation for the above graph and inequality is Question Help Video hap

atic equation has roots 1 3i and 1 3i

The probability distribution for the number x of babies with blue eyes in samples of 5 babies is given in the accompanying table Find the expected value mean for the number of babies with blue eyes in samples of 5 babies Probability Distribution for number of babies with blue eyes Number of babies with blue eyes X 0 1 2 3 4 5 P x 0 1847 0 3892 0 2277 0 1472 0 0363 0 0149

2 An athlete was having her blood pressure monitored during a workout Doctors found that her maximum blood pressure known as systolic was 110 and her minimum blood pressure known as diastolic was 70 If each heartbeat cycle takes 0 75 seconds then determine a sinusoidal model in the form y Asin Bt C for her blood pressure as a function of time t in seconds Show the calculations that lead to your answer

5 Simplify and state restrictions 7 x 4 x 2 c a b 2x x 2 x x 1 3x x 2 x 1 2x 7x 6 x 3 2x x 3