Functions Questions and Answers

Make a table listing ordered pairs for the following function Then sketch the graph and state the domain and range The notation f x x refers to the step function and the output returned is the greatest integer less than or equal to x For example f 3 2 3 2 3 and f 0 975 0 975 0 f x x 3 for 1 x 5 Complete the following table of ordered pairs X y x 3 1 1 5 2 2 5 4 5

A movie theater recorded its monthly revenue for the past 5 months The table below shows the revenue as well as the price the movie theater charged for each ticket that month Use vertex form to create a quadratic model that models the movie theater s revenue Price 10 11 12 13 14 Revenue 3072 3792 4224 4368 4224 What is the vertex Write the equation in vertex form f x a x Now choose another point to find the value of a Substitute that point into the vertex form of the function to find the value of a a Now write the vertex form of the function f x 1

mework aspx homeworkId 6441773 gure to the right shows an addition pyram on pyramids show that the values in ead a through c below

he desired accumulated amount The amount to be invested now Round to the nearest cent as ne

Drink 1 4 5 8 9 12 13 16 17 20 Frequency 4 19 6 A 2 3 a Construct a histogram using createAgraph and no other method use this URL in your browser https nces ed gov nceskids createAgraph for the data obtained above Correctly label your graph according to what was shown in the class videos on D2L and in our MS Teams class Save as either Word or PDF and submit to the BUSA 2000 Test 1 Part 2 folder in the Assignments tab on D2L b Construct an ogive using createAgraph and no other method use this URL in your browser https nces ed gov nceskids createAgraph for the data obtained above Correctly label your graph according to what was shown in the class videos

Choose the correct graph below O A Ay 7 SOU OB O C Ay x o

use fact that f x 1 2 x 2 to find a power series representation for g x 1 2 x 2 about a 0

The graph of y f x is shown below 7 6 5 4 3

Investment Portfolio Write your response to each of the following statements or questions in the space provided Use complete sentences 1 My long term financial goal is to 2 A personal investment plan can help me attain this long term goal by

K Graph the solution set of the inequality 3 6

K Graph the solution set of the ine X 8 3

Use the special factoring methods to factor the following binomial If it cannot be factored indicate Not Factorable 121y 8 z 2 256x 6

1 Determine whether each relation is a function and state the domain and range a 8 The relation is Domain Range b f x x The relation is Domain Range K3

Exercise 6 6 4 Let X be any set and consider the set of functions S f X R Notice we can add two functions f g x f x g x we can scale a function a f x a f x and we have a zero function z x 0 Prove two properties to start to see that S is a vector space Now from here 5 a Look at some Calculus textbook tell me which book you used the library has some and the internet has tons and tell me where you found the properties which would help you see why the set of continuous functions with the same domain is a vector space b Now assuming continuous functions are a vector space prove to me that differentiable functions are a subspace using the definition of subspace and some properties from Calculus c Now assuming differentiable functions are a vector space prove to me that polynomial functions are a subspace of differentiable functions using the definition of subspace and properties from Algebra

How many monthly payments must be made for a 5 75 year loan

Consider the following function Function f x 2x x 6x 3 a Verify the given factors of f x 1 2x 1 2 Factors 2x 1 x 2x 1 x 3 2 1 3 4 1 20 4 6 6 0 1 2 3 2 1 2 3 10 10 3 f x 10 3 3 c Use your results to write the complete factorization of f x 6 S 2 V 3 6 b Find the remaining factor s of f x Enter your answers as a comma separated list d List all real zeros of f Enter your answers as a comma separated list 3 e Confirm your results by using a graphing utility to graph the function f x 0 f x 10 10 N N 2 4 5 5 10 10 4 3 3 X X O f x 10 5 H 2 2 4 51 10

Consider the following set 2 S x x Z Which of the sets given below are subsets of S Select all that apply O 4 25 49 1 4 9 11 O x x Z 2 O re Z 3x 7 41 Ofr Z 4 x x

Let S 2 3 4 5 and let T 1 3 4 5 Which one of the following statements is true S T and S T O S T and S T O S T and S T S T and ST

Sketch an angle 0 in standard position such that has the least possible positive measure and the point 5 12 is on the terminal side of 0 Then find the exact values of the six trigonometric functions for 0 Choose the correct graph below 18 Ay 18 Q OU B 18 Ay G OC Select the correct choice below and if necessary fill in the answer box to complete your choice OA sin 8 Simplify your answer Type an integer or a fraction OB The function is undefined o

a A is the set of even numbers greater than 15 and less than 23 B 16 18 20 22 b A 81 82 83 B 71 72 73 Pair of sets c A is the set of integers greater than 14 and less than 18 B is the set of integers greater than 14 d A j m p q B m d c OO 0000 Description equivalent but not equal equal but not equivalent both equivalent and equal neither equivalent nor equal equivalent but not equal equal but not equivalent both equivalent and equal neither equivalent nor equal equivalent but not equal equal but not equivalent both equivalent and equal neither equivalent nor equal equivalent but not equal equal but not equivalent both equivalent and equal neither equivalent nor equal

ii At the end of the fetch step of the 2nd machine cycle IR PC Register 5

described in the following table Address 00 01 02 03 04 05 06 07 08 Contents 25 98 40 56 36 08 CO 00 F7 If we start the machine with its program counter containing 00 1 List the addresses of the memory cells that contain the progr

6 Suppose you want to place Os to the right 4 bits of a byte and leave the other 4 bits unchanged What mask must you use together with what operation 4 points

Question 10 Points 2 Based on Schumpeter s Wave Theory of economic growth which statement is true O The normal economy is in equilibrium and adjusts seasonally based on labor and capital needs O The normal economy is never in equilibrium because social and political unrest by the working class keeps economic conflict in motion The normal economy is in equilibrium because of the law of diminishing returns as inputs are added to the factor of production The normal economy is never in equilibrium because it is continually disrupted by entrepreneurial innovation Complete Later Complete

Study the following timeline Industrial Revolution 1750 A OB 1800 OC B American Civil War 1850 Jo C 1900 Jo D 1950 WWI and WWII E According to the lesson when did the Information Age begin 2000

Question 8 Points 1 Which of the following categories does cents off coupons fall under Promotions Direct mail Discounts Promotional discounts

Choose the correct answer The difference between a secured loan and an unsecured loan is O the rate of interest charged O the specified time in which the loan must be repaid O short term debt financing O collateral

The table below shows the cost of Cost of Bread 1 86 Year 2001

5 4 3 2 4 Part 1 of 7 2 1 3 y k x 4 51 y h x 1 2 3 4 5

ven the functions f x 2x g x x 5 Evaluate the function g h 2 for the given value of x Write your answer as an integer or simplified fraction Select Undefined if applicable g h 2 is X h x Undefined x 3

Given the functions f x 3x Evaluate the function H 0 is g x x 2 X 0 for x 0 Write your answer as an integer or simplified fraction Select Undefined If applicable Undefined h x G x 6

Write the equation of a line parallel to the line 1 y 5 x 3 that goes through the point 7 1 Write your equati

A type of plant is introduced into an ecosystem and quickly begins to take over A scientist counts the number of plants after m months and develops the equation P m 19 3 1 089 to model the situation Most recently the scientist counted 138 plants Assuming there are no limiting factors to the growth of the plants about how many months have passed since the plants were first introduced O 6 1 6 6 7 2 23 1

Consider the following y 11 A X 000 2 60 5 10 6 1 32 Use the above to solve the system 000 1 0 0 5 2 1 0 0 1 2 60 Solve the system Ax b using the given LU factorization of A by first solving Ly b for y 0 5 6 0 02 10 1 13 b

The quantity y Co it is approximately 2 00e 00 X 1 00 01 x for x 10 6 is not so accurate due to numerical cancellation Indeed the relative error associate

Ohm s law states that the relationship between the voltage Vacross a resistor in volts the electrical current I passing through the resistor in ampheres amps and a quantity R known as the resistance in ohms is given by V IR Suppose that the voltage across the resistor is held constant at 40 volts If the resistance is steadily decreasing at a rate of 0 2 ohms per second at what rate is the current changing at the moment that the resistor reaches 5 ohms

n y dy x dx 2 X separable exact linear in x linear in y homogeneous dy e2x x Y 0 Bernoulli in x Bernoulli in y none of the above

k x dx y dy 0 separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above

ework cording to the Original Tipping Page w e tax rate is 6 What is the tax on the Leeseburgs din If the Leeseburgs decide to tip 17 of What is the total cost of the dinner inc

ction 10 1 Homework K According to the Origina the tax rate is 6

Mode LiveOnline nework a mathematics class 63

5 Assume that 1 000 is deposited in the bank and that each bank loans out all of its excess reserves For each of the following required reserve ratios calculate the amount that the bank must hold in required reserves the amount that will be excess reserves the deposit expansion multiplier and the maximum amount that the money supply could increase Required Reserve Ratio 10 Required reserves Excess reserves Deposit expansion multiplier Maximum increase in the money supply 1 5 12 5 15 25

Solve the following polynomial by finding the real and complex roots 2x 3 54 0

What is the volume 13 cm 16 cm 5 cm cubic centimeters

Write a cosine equation from the graph below Leave answer in y A cos B x C D form More than one answer possible 10 DV 00 9 8 AMAA 1 1 2 4 PT PY

Write the tangent equation for the graph below 10 2 44 7654 MP4 09 Min

You are given the 2 x 2 matrices Solve the matrix equation below for X 5876 22470 A B 310 0 310 V X CH A XA B A B B CCT

y x 1 y 2x 3 Graph the system Then write its solution Note that you can also answer No solution or Infinitely many solution 4 4

Given circle M with chords NO OQ QN NR RP and NP NO NP Name an angle congruent to NRP M R N

11 COA Not secure moodle ithsorg mod quiz attempt php attempt 122 LTHS Moodle Question 29 Partially correct Mark 15 00 out of 20 00 P Flag question When a zookeeper launches a banana at a monkey the monkey banana is launched The banana is launched with a speed of 16 be directly at the monkey The monkey is initially at rest in a tre horizontal and vertical displacements of the banana and the mo Banana Time s d m 0 0 0 5 10 5 10 dy m 10 5 015 7 58 Height m 0 5 015 7 58