Quadratic equations Questions and Answers

19 Sketch and analyze the graph of the function Describe its domain range intercepts asymptotes end behavior and where the function is increasing or decreasing f x log x 2 21 Solve 52x 7 3 Domain x inter End Behavior Asymptote Range y inter

Find an equation for the graph sketched below 8 7 6 5 54 3 2 1 4 543 2 1 23 3 4 5 6 7 8 1 2 3 4 5

Write the equation of the trigonometric graph 3 2 WWW 3 2 4 4 1 37 5 2 3 7 2 4

The LU factorization of A A To solve the system 1 3 1 27 A 1 5 2 X 16 2 8 0 Ly 1 00 1 3 1 1 0 0 2 2 1 1 0 0 Ux 3 and then solve 7 28 using the LU factorization you would first solve 9 9 16 97 28 1 20 1 2 1 3 3 5 8 2 is 0

10 5 10 5 0 5 10 check correctness Build it 5 10 Select the factors that multiply to create a polynomial with this description 1 As x o y 2 As x o y 3 Has a root at x 6 Select all mot apply U 2 2 x 6 x 6 x 8 x 8

Find each measurement indicated Round your answers to the nearest tenth Find AB 108 A 9 cm C 33 cm B 27 cm O 31 cm O 35 cm 29 cm 36 cm

Home Height in 74 72 70 68 66 62 T 60 T T T 64 T T X 7 50 8 00 8 50 9 00 9 50 10 00 10 50 11 00 11 50 12 00 Length of radius bone in The scatterplot above shows the relationship between the length of a woman s radius bone and her height U the line of best fit to predict a the approximate height of a woman if her radius bone is 9 inches long Approximate to inches nearest inch b the approximate length of a women s radius bone if she is 73 inches tall Approximate to the nearest half in inches

17 Identify the logarithmic function corresponding to the graph H a b y ln 4 x y ln x 4 c none of these d e y ln r 4 y ln 4 x

ly a judicious choice of a trigonometric unction substitution for z the quantity 1 csc u 1 B sec u 1

Solve the differential Equation with boundary conditions d y y dx d y dy dx3 dx 2 0 at x 0 0 0 Z 0 dy dx d z k dz dx 2y dx k is just a constant Solve the differential equations with boundary conditions at x infinite 1 0 and z infinite 1

Solve for x x3 3 2x 2x 8x 0 x 4 Enter the smallest answer first

Find the missing side 7 16 33 8

Find the intercepts of the function f x x 7 9x 1 x f x x intercept x intercept x f x x intercept x f x y intercept x f x smallest x value largest x value

Let u 3 and v and i and let u v 2u v 3u v be an inner product Compute the following a u v 12 b ul 13 c d u v 65 x

watch help video Graph the inverse of the provided graph on the accompanying set of axes You must plot at least 5 points Click the graph to make a point Click it again to erase 3 2 1 7 1 24 3 5 6 9 8 7 6 8 y 1 2 3 4 5 6 7 8 9 10

7 Divide x 2x 6x 8 by x 2 4 x 2 A x 6 B x 4x 14 C x 3x 1 D x x 9 36 x 2 9 x 2 3 X 2

20 Find the volume of the cone below 17 6 m 23 4 m 25 m A 1 897 6 m C 2 027 4 m

x 1 y 2 3 Locate the foci and find the equations of the asymptotes x 1 2 y 2 2 3 O foci 1 16 2 asymptotes y 2 x 1 O foci 1 12 2 asymptotes y 3 x 3 O foci 1 12 2 asymptotes y 1 x 1 O foci 1 14 2 asymptotes y 2 x 1

Write the equation of the trigonometric graph 47 27 Y 5 4 3 2 2 3 ch 21 47 6 8 107 127 14 167 187 2021 221 247

Select the correct answer Consider the piecewise function shown on the graph y 10 8 6 A 2 10 8 6 4 OA I21 OB 3 6 OC 4 1 1 2 d 6 8 10 10 2 4 6 8 10 X Over which interval of the domain does the graph represent an exponential function

Determine the period of the following graph J 37 N 720 5 4 3 1 2 3 7 31 570 32 2 A

Determine the period of the following graph 37 2 57 4 37 4 FLO 54 5 4 3 2 1 1 y 2 3 4 5 4 HN 24 31 T

The graph to the right is best represented by which in equality 1 Point Oy 2x 2 Oy x 2 10 8 6 4 2 Oy 2r 2 yz x 2 Oys 2x 2 6 2 24 6 8 10

If f a 0 then a is called a constant of the function O None of the choices are correct an identity of the function O a zero of the function a factor of the function

Is the given graph correct y x 3 3 True O False Save Not Graded

10 8 6 4 2 C 10 8 6 4 2 2 AN 6 8 D 160 1931 2 Find the distance between the points C and D illustrated on the graph above 1 Point 4 6 8 10 x

Solve for 0 0 2 4 sinx 2 csc 0 Solve for 0 0 360 2 sin 2 cot r Csc r 0

Evaluate the following Click on Not a real number if applicable a b 5 32 256

Let p 2 can be computed via synthetic division by filling in for the letters a through g in the table 1 1 3 2 b d f ace g where 0 b C d e f g Moreover p 2 and p x can be written as where g x is a quadratic polynomial and p x x 3x 2x 1 lica real number p z x 2 q x r

Henry invested 59 000 in an account paying an interest rate of 2 compounded quarterly Assuming no deposits or withdrawals are made how much money to the nearest cent would be in the account after 20 years

A person invested 5 500 in an account growing at a rate allowing the money to double every 14 years How long to the nearest tenth of a year would it take for the value of the account to reach 6 800

Element X is a radioactive isotope such that every 82 years its mass decreases by half Given that the initial mass of a sample of Element X is 8900 grams how long would it be until the mass of the sample reached 7700 grams to the nearest tenth of a year

A person invested 220 in an account growing at a rate allowing the money to double every 13 years How much money would be in the account after 27 years to the nearest dollar

Element X is a radioactive isotope such that every 13 years its mass decreases by half Given that the initial mass of a sample of Element X is 8800 grams how much of the element would remain after 25 years to the nearest whole number

What are advantages to using a wet mount slide preparation Select all that apply A The specimen may be alive B The specimen could be viewed moving C Wet mount slide preparation is a long and difficult process D The specimen behavior can be viewed 100 2 PHASE 1 Create Complet Using water 3 Using caret trapp COVE Pla

write the equation of the circle in both forms 12 Center 0 13 Area of 25m

The temperature f t of a cup of coffee in degrees Celsius after t minutes can be determined by the equation f t 51 0 95 24 Estimate the temperature after 35 minutes 32 Preview Determine the asymptote for the function y 24 Interpret the asymptote in the context of the problem Use complete sentences and correct units Create a computer generated graph or very neatly hand drawn graph of the function f t Make sure that the gra og and title Inland the following alotad filo holou

11 Optional Extra Credit Which topics did you personally find most interesting this semester Which topic do you think was the most important for you to learn about Please feel free to elaborate Thanks

If two bags of popcorn and three drinks cost 14 and four bags of popcorn and one drink costs 18 how much does a drink cost

what is the amplitude and period of 3sin2x

Write the product as a sum 18 sin 21v sin 17v

44 Solving a quadratic equation by using the quadratic formula Module 10

The five number summary of the distribution of scores on the final exam in Psych 001 last semester was min 18 39 Med 62 76 Max 100 A total of 416 students took the exam About how many students had scores above 39 280 312 345 O 400

165 4 4 3 6 5 4 3 2 1 the H 2 4 5 6 Write an equation for the cube root function g shown above g x

Vrite the equation for the graph 2 3 2 1 0 10 1 2 3 4 5 6 7 8 88 9 f x Select 2 1 2 4 6 8 10 10 1 x Select 12

Which of the following is the graph of both the function f x 2x and its inverse O T GL 8 x H

Select the correct answer Consider function f 25 f x 1 I 0 x 12 4x 1 0 2 3 I 2 Which statement is true about function A As x approaches positive infinity f x approaches positive infinity OB The function is continuous OC The domain is all real numbers OD The function is increasing over its entire domain Reset

Find the reference angle for a rotation of 310

5 4 3 2 1 14 12 10 8 6 4 2 2 4 1 M 2 3 5 Which of the following statements about the graph of f x 2 25 shown above are true Select all that apply The function f x 2 25 is a quadratic function The graph has a horizontal asymptote below the point 0 1 The domain of the function is the set of all real numbers 0 The range of the function is the set of all real numbers 0 The graph of the function will never intersect the x axis

Graph the rational function as a translation of fox Identify the vertical and horizontal asymptotes and state the domain and range f x Choose the correct graph below OA GAD 3 OC Find the vertical asymptote s Select the correct choice below and if necessary fill in the answer box to complete your choice OA X Type an integer or a simplified fraction Use a comma to separate answers as needed OB There is no vertical asymptote Find the horizontal asymptote s Select the correct choice below and if necessary fit in the answer box to complete your choice du