Quadratic equations Questions and Answers

Given the graph of y f x what is the value of f 0 5 4 3 2 L 5 4 2 1 2 3 5 2 3 4 5 x 4

Click on the graph of the function F x x 1 if x 0 if x 20 B C D

In a class of 147 students 95 are taking math M 73 are taking science S and 52 are taking both math and science One student is picked at random M S Answer 43 52 21 31 Find P not taking math Write your answer in a fraction in simplest form in the form a b

Write a quadratic function to model each graph 35 y 36 2 8 6 2 Of 2 4 6 X 4 4 2 O 2 y 2 X 37 15 4 mor 2 8 4 See Problem 5 2 y O x 6

Let f x x Click on the graph of g x f x 2 A B C D

Match the Interval for which the function is increasing decreasing or constant Drag and drop options on the right hand side and submit For keyboard navigation SHOW MORE Increasing Decreasing Constant T E E III 0 2 0 2 0 x Te

8 Use the figure to find the exact value of the trigonometric functions sin0 2 tan0 2 cos0 2 CSC0 2 sec8 2 17 cotA 3

H A C x y 9 54 H Drag and drop options on the right hand alde and submit For keyboard navigation SHOW MORE V E 20 31 D f x x 2x 3 None of these 3 Symmetric about the X exia y exia and origin 2016 02 2012 20 Symmetric about the origin 0 1

3 Let and 0 W V 2 2 Compute the component of v parallel to w and the component of v perpendicular to w

Decide from the graph whether a limit exosts If a limit exists find its value im 00 What is the value of the limit Select the correct choice below and fill in any answer boxes in your choice OA The limit is OB The limit does not exist

Below is the graph of y g x which is a transformation of f x x Which function for 8 best matches the graph Select an answer and submit For keyboard navigation use the up down arrow keys to select an answer 8 b g x x 50 g x x 50 SAS g x x 50 BALL

Click on the correct graph of the function if x 0 if x 0 2x 1 x 1 f x A B C D

Mark the absolute maximum point of the graph 7 6 5 4 3 2 6 5 4 3 2 Y 2 3 5 6 7 2 3 4567 13

Let f x x Click on the graph of g x f x 1 A B C D

Use what you know about the classes of functions as well as vertical and horizontal shifts to determine the equation of the solid green graph Select an answer and submit For keyboard navigation use the up down arrow keys to select an answer 8 06 b C d f x x 2 3 f x x 2 3 f x x 2 3 d f x x 2 3 4

Determine if the graph is symmetric about the X axis Y axis origin or none of these Select an answer and submit For keyboard navigation use the up down arrow keys to select an answer to Symmetric about the X axis b Symmetric about the y axis C Symmetric about the origin N

Determine whether the graph is symmetric about the X axis Y axis origin or none of these Select an answer and submit For keyboard navigation use the up down arrow keys to select an answer TO Symmetric about the X axis b Symmetric about the y axis C Symmetric about the origin 3

X X Q Let hand k be positive real numbers Enter left right up or down in the appropriate blank a To obtain the graph of y f x k shift the graph of f b To obtain the graph of y f x k shift the graph off 1 c To obtain the graph of y f x h shift the graph of f d To obtain the graph of y f xh shift the graph of f Write your response here Write your response here Write your response here Write your response here k units k units hunits h units 4

Let f x x To obtain the graph of g x x 3 how is the graph of f shifted Select an answer and submit For keyboard navigation use the up down arrow keys to select an answer a 3 units to the right b C 3 units to the left 3 units up

2 Use the Comparison Theorem to determine whether the integral is convergent or divergent c sinda 8 2 e a J dx I b arctanrdr 2 e

A prestigious hospital has acquired new equipment to be used in laser operations It classifies its services into two categories a major operation that requires 30 minutes and a minor operation that requires 15 minutes The new machine can be used for a maximum of 6 hours The total number of operations per day must not exceed 18 The hospital charges a fee of P60 000 for a major operation and a fee of P35 000 for a minor operation Time Number Revenues Major 30 1 60000 Minor 15 1 35000 Available 360 18 How many MAJOR operations should the hospital schedule daily to maximize its revenues

The graph of f is given Let g x f x 1 Plot where the seven points shown on the graph off are located on the graph of E

Click on the graph of the restricted function f x 3x 1 for x 3 10

Fill in the Blenka A B X X Q Typeyour answers in all of the blanic and submit f 2 14 1 0 8 11 s fi 1 Type your answar nara Type your anawar hara La f x 2x 4 5valuate the function at the given values Then select the appropriate graph that reprezenta this function Type your answarara C Touranswarhara D 6 44 27 T

Click on the center of each graph that defines Y as a function of X 1

The function graphed is of the form y a sin bx or y a cos bx where b 0 Determine the equation of the graph y 0 Com 34 3m 52 O C E

Click on the graph of the function on its restricted domain f x x 1 for x 2

you know about the classes of functions as well as vertically stretching and shrinking graphs to determine the equation of the graph in green to C g x x Select an answer and submit For keyboard navigation use the up down arrow keys to select an answer g x x 24 g x 2 x 3 1 1 1 1 1 1

1 Which is the angle of depression from the boat to the submarine 4 1 2 3 4

6 5 4 3 2 1 8 k v 3 2 21 2 3 4 5 6 7 8 1 2 3 4 5 Find an equation for the graph above V

4 3 2 1 y g x Y 20 10 10 20 30 40 50 60 70 H elect the interval where g is negative 2 3 4 89

Let f x 1 Click on the graph of g x f x 3 X A B C D

Which function s graph is the graph of f x xshifted left 20 units and down 35 units Select an answer and submit For keyboard navigation use the up down arrow keys to select an answer CO g x x 20 35 b g x x 20 35 C g x x 20 35 d g x x 20 35

et f x Click on the graph ofy f x X

Remove the greatest common factor Check your answer by multiplication 14x5 35x 21x 15253 21x

The function in the graph below has a vertical asymptote 10 5 10 5 0 5 10 5 10

Use what you know about transformations to select the graph of h x A B D H Click on the center of the correct graph

If f x x and g x 0 5f x what is the value of g x at x 2

Match each function with the correct description of how its graph relates to the graph of f Drag and drop options on the right hand side and submit For keyboard navigation SHOW MORE y f x 2 y f x 2 y f x 2 y f x 2 E E Graph off shifted up 2 units Graph off shifted right 2 units E Graph off shifted down 2 units Graph off shifted left 2 units

In the figure m A 2x 5 and mzB 3x 15 A D O O Find the measure of each angle in degrees of ABCD m A m B m C m D O B O C i

The City Wheels Taxi Company estimated on the basis of collected data that the number of taxi miles driven each day can be modeled by the function Q 391L0 7 when they employ L drivers per day a Graph this function for 0 L 25 b How many taxi miles are driven each day if there are 19 drivers employed c Does this model indicate that the number of taxi miles increases or decreases as the number of drivers increases a Choose the correct graph below OA AQ 3 800 0 0 42 25 OB AQ 3 800 0 0 25 Q G O C AQ 3 800 0 0 f L 25 Q O D AQ 3 800 0 0 25

The graph of f x x is shown below with five specific points labeled Plot the location of each of these five points after being moved left 2 units and up 1 unit

X X 2 Write each equation in slope intercept form Do not enter spaces in your answer Then identify the slope of each line Use to enter a fraction if needed Then state how the slopes of the lines relate Equation 1 3x y 9 and Equation 2 6x 2y 12 9 Equation 1 in slope intercept form b Slope of equation 1 c Equation 2 in slope intercept form d Slope of equation 2 Write your response here Type your answer here The slones Type your answer here Enter equal reciprocals negative reciprocals opposites or none of these in the blank

Define an inner product on C 1 1 by f g f x g x dx Show that if f is odd and g is even function then f and If S 1 2 2 Construct an orthogonal basis for P 9 are ortho

Determine whether the equation y 3 x defines y as a function of x Does the equation y 3 x define y as a function of x OA Yes because for any input x the equation yields only one output y OB No because for any input x the equation yields only one output y OC No because for any input x the equation yields more than one output y D Yes because any equation in terms of x and y is a function

Select one 1 Complex Numbers and Rational Exponents Question 1 Which of the following numbers is rational a OT O 2 49 O 50 O 8

Which of the following is equivalent to Select one a O O 1 64c O 4c 16c O 64c 9 10 4 C 4105

Draw the graph of the function y x 40x 1800 Use the graphing tool to graph the equation Click to enlarge graph 2000 1600 1200 800 400

The number of females in medicine continues to show steady increases The number of female physicians in a certain country can be modeled by the functi 1 496 F x 0 798x where x is the number of years after 1980 and F x is the number of female physicians in thousands a What type of function is this b What is F 15 What does it mean C How many female physicians will there be in 2030 1 496 a F x 0 798x D F 15 is a power function poproct thousandth as needed

1 Graph the following system of equations to determine the solution Write your solution as an ordered pair 7 y 2x 8 1 y x 8 I 8 10 8 6 4 2 4 2 2 4 6 10 2 7 LO