Quadratic equations Questions and Answers

11 What is f g x f x x 3 g x 2x x 1

4 Identify the relative minimum and relative maximum values over the interval 2 2 5 4 3 2 3 feat

2 Graph the functions on the same coordinate pian f x x 2 g x x 4 What are the solutions to the equation f x g x 6 5 4 3 654 5 32 3 2 1 2 1 1234 4 5 72374 1 2

5 Is the function even odd or neither How do f x 2x you know

Calculate the lengths of the 2 unlabeled sides 60 L 2 5 M

You are the senior class president and are selling items for a school fundraiser You have cell phone cases and t shirts that have the school logo on them for sale Each case costs 12 and each t shirt costs 7 After selling a total of 60 items you have made a total of 450 How many cases and t shirts were sold 5 cases 55 t shirts 6 cases 54 t shirts 54 cases 6 t shirts 55 cases 5 t shirts

The table of values represents a polynomial function f x 4 105 How much greater is the average rate of change over the interval 7 9 than the interval 4 6 5 384 Enter your answer in the box 6 945 7 1920

Which characteristic is correct for the function f x 2x 3x O both even and odd O even O neither even nor odd O odd

Which graph represents the function f x x x 6 7 6 5 4 1 2 3 4 5 6 7 7 6 5 4 3 2 1 2 3 4 5 6 7 7 6 5 8 3 2 8 7 1234567 7 6 5 4 3 234567

Which graph represents g x x 3 2 5 4 3 2 9 x 0 8 9 10 10 8 6 4 2 g x 32 N 5 6 0 0 7 6 5 4 3 2 g x 9 x 2 3 8910

Print Assessment function h given by h x f x using BLUE marker given by g x f x using RED marker YA 8 10 8 00 6 4 y f x 93 2 NU 0 0 4 2 4 1 1 6 4 2 00 NU 2 4 6 8 op 10

Subtract the rational expressions X 10 x 2 x x 6 A x 5 x 3 B x 2x 10 x 2 x 3 C x 3x 10 x 2 x 3 D x 10 x 2

Using f x log x what is the x intercept of g x log x 4 Explain your reasoning

17 y 4 2 2 12 A B C 8 y 3 2 2 A B C D D 10

4 y x 3 3 y x 2 2 543 2 1 A 5 B Infinite number of solutions C 4 D 4

9 5 y 2 3 2 A 10 10 B C te 15 te 6 y 5 2 2 A C D D B

the inverse shown below over the line y x B 6 y by 5

Birim emberde Trigonometrik Oranlar 6 X m Yukar daki O merkezli birim emberde cos 34 du una g re n ka t r 1 1 edmeid its B C D 7 bri E 3 cunia Claim

48 6x Be sure to show your thinking 2 Solve 3 Solve 15x 60 240 3x 8 11

Given the function f x x 7x 10 x 9x 20 Describe where the function has a vertical asymptote and how you found your answer Remember that an asymptote is represented by an equation of a line and not just a single value Part B Given the function f x x 7x 10 x 9x 20 Describe where the function has a hole and how you found your

Name the Vertical and Horizontal Asymptotes f x 2 O f x has a vertical asymptote at x 5 and no horizontal asymptote O f x has a vertical asymptote at x 2 and a horizontal asymptote at y 5 Of x has a vertical asymptote at x 5 and a horizontal asymptote at y 2 Of x has a vertical asymptote at x 5 and a horizontal asymptote at y 2

Look at the graph 10 5 X 10 5 0 5 10 5 10 What is the equation of the horizontal asymptote

The total cost of a vacation to a rain forest includes a fee of 560 for the tour guide plus 630 per person 560 630x The function y models the average cost per person in dollars when x people go on the vacation x What is the horizontal asymptote of the function choose your answer choose your answer 560 4 25 points 630 A horse owner has 50 lbs of hay that is 6 protein 1 0 06 50 0 12x The function models the 0 at is 12 protein by weight

Find the inverse of each function 9 f n n 5 10 f x 5x 3 11 f n 4 2 n 2 12 f x x 3 2

Find g 6 h 6 5 f n 4n 4 g n 3n 2 Find f g 8 7 g x 3x 2 f x 2x 2 Find g 1 3 1

In which quadrant do each of the following angle lie is in Quadrant 5 is in Quadranti

Look at the graph 10 5 10 0 5 5 10 x 10 10 What is the equation of the vertical asymptote

at graph 10 5 X 10 5 0 5 10 5 10 What is the equation of the horizontal asymptote

4 2 4x 62 5 12e3x 2 8 6 log3 x 1 4

3 Which of the ordered pairs below is a solution to the system of equations a 10 0 b 0 8 c 12 2 d 2 12 x y 10 2y x 16

2 Which of the following is a solution to the system of equations shown below A 2 2 B 15 5 C 5 0 D 3 1 2x 4y 10 y 8 3x

Simplify the rational expression 52 10 2 4 3x 6 x2 4x 4 A 15 x 2 B 5 x 2 3 x 2 C 15 x 2 x 2 D 5 x 2 3 x 2

Solve 64 16

Solve 63 6 x

Solve 625 1252m 2 514 m

FLUENCY 1 The point 2 7 is a solution to the system of equations given below a Show that this point is a solution 3x 2y 20 3c2 207 20 6 1920 2 7 5 x y 5 b Add the two equations together and show that 2 7 is a solution to the result

Consider the system of equation x 4y 13 3x 2y 19 a Multiply both sides of the second equation by 2 What equation results b Add the equation from a to the first equation What happens What can you now solve for c Now that you know the value of x how can you find the value of y Find it d What could you have multiplied both sides of the first equation by to eliminate the x instead of the y

Select all true equations cos 37 sin 53 tan 37 tan 53 sin 37 cos 53 sin 37 sin 53 cos 0 sin 90 0

Find the least common multiple for the following expressions x and x 3 x 3 x x 3 Or 3 3x

Simplify x x 20 2 3x 15 8x 16 4 x 4 3 8 x 4 3 3 x 4 8 8 x 2

3 A riverboat travels at an average of 14 km per hour in still water The riverboat travels 110 km east up the Ohio River and 110 km west down the same river in a total of 17 5 hours To the nearest tenth of a kilometer per hour what was the speed of the current of the river

8 x 3 3x 17

Given the equation f x 4 2 2 answer the following A Growth or Decay B h C k D Horizontal Asymptote E Find f 1 Write as a coordinate pair

hich graph represents f x 3 4 2

A parabola has the equation f x 2 x 3 2 4 Complete 1 The vertex is 3 The function has a minimum value of 2 The graph opens The following graph is a translation of y x Use it for 4 7 4 What is the horizontal translation 5 What is the vertical translation 6 What is the sign of a 7 What is the quadratic equation for the graph Graph the following parabolas 8 y 2 x 2 5 12 9 y x 3 2 A ball follows a parabolic path represented by f x 2 x 4 8 Use this equation for 10 12 10 What is the vertex 11 Graph the parabola 12 Why does the graph stop at x 2 and x 6 12

Which description is correct for the x intercept s of Function A and Function B Function A 3 O 2 1 X Function B f x x 2 Function A has two x intercepts Function B has one x intercept O Both functions have the same number of x intercepts Function B has two x intercepts Function A has one x intercept Both functions have the same x intercept s g x 3 0 2 1 0

Which comparison is correct for the values of f a and g x when x 1 Function A f x x 1 Function B X 3 1 0 2 o f 1 g 1 Of 1 g 1 9 x 7 4 1 2

Subtract the rational expressions by typing your response in the box provide x 1 x 7 82 6 x 7

Add the rational expression by dragging the integers to their corresponding box to complete the statement POSSIBLE POINTS x 1 x2 3x 4 x 7 x2 3x 4 FILJ 2 x 2 x x x x x

2 Determine the number of solutions of the equation in the complex number system 8x3 9x 10 0 8x 9x 10 0 has degree 9 so there are three solutions in the complex number system 8x3 9x 10 0 has degree 8 so there are no solutions in the complex number system 8x3 9x 10 0 has degree 8 so there are three solutions in the complex number system 8x3 9x 10 0 has degree 9 so there are no solutions in the complex number system 8x 9x 10 0 has degree 3 so there are three solutions in the complex number system 3 Solve the equation Write complex solutions in standard form x 3 0