Written Assignment 3 Sections 2.4, 2.5 Name: 2. Graphing absolute value functions [2.5 On tests, your graphs will be entirely done by hand, so it is important to be able to draw accurate graphs, rather than just being able to recognize correct graphs. Graph the absolute value function (x)|3x - 2 What is the exact X-intercept? 3. Solving absolute value equations and inequalities graphically [2.5) Solving absolute value inequalities graphically is like solving linear inequalities graphically Simply set each side of the inequality equal to y and graph the equations to find the points of intersection. Then determine which intervals of x make the inequality true. Solve the absolute value inequality graphically. Express your answer using interval notation. Interval Notation

Q: Use the tables to evaluate: a) (Ug)(-1) b) (f o g)00) e) g-0) 7) x-1 0 1 2 g(x) 2 10 1 x-1 0 1 2

A: Calculation:a)Compute the value of (fg)(-1) as follows.(fg)(-1) = f(-1) × g(-1)                     ...

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A: We are given equation of parabola as 

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A: Hello there! You seem to have uploaded an incomplete question. In order to solve this question, we n...

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A: The given inequality is (x-3)(x-5)^2<0

Q: How do you solve the polynomial inequality x4 + 36 ≤ 13x2

A: The given polynomial inequality is x^4+36≤-13x^2.

Q: Determine whether the function has an inverse function. If it does, find the inverse function. ​f(x)...

A: The function is given by,

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A: Let x denote the speed of the plane. The speed of the plane with the wind is x +10 and the speed of ...

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A: According to the given information, the cost information of the coffee bleands in given below:Cost o...

Q: Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the or...

A: We are given logarithmic  equation as 

Q: 35) Complete the table below to create an odd function f. x 60 246 3 -12 f(x)

A: Given:The function is an odd function.That is, f(-x) = -(f(x)).

Q: Graph the hyperbola (y+3)2/16-(x+6)2/4=1

A: The given equation is (y+3)2/16-(x+6)2/4=1.

Q: Solve the system. If there is no solution or if there are infinitely many solutions and the system's...

A: The given system of equation is,

Q: (5y-2)2+6=22

A: Given information:The given equation is (5y-2)^2+6=22

Q: Evaluate the expression without using a calculator. log 1000 log 1000 Enter your answer in the answe...

A: We first write 1000=10^3

Q: using the values a=4, b=2 and c=5, find the value of each of these expressions. a) 4a+2b b) 2a=b ove...

A:

Q: I am having a math confusion here b2-a over ad+3c a=-2b=5c=-1d=3 I keep coming up with 12 over -9 th...

A: To calculate the value of b2-a over ad+3c where, the value of a=-2, b=5, c=-1 and d=3. Now, substitu...

Q: Solve the equation for the unknown quantity 19.42 = P(1.2)3

A: First we simplify (1.2)^3.(1.2)^3=1.728

Q: Let f(x) = 4x2 + 6x -5 and simplify f(2+x)

A: The given function is f (x) = 4x2+6x–5.

Q: Find all rational zeros of the function f (x) = x ^3 −6x^ 2 +11x −6

A: The given polynomial function is

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A: Let the width of a rectangle be x cm.Then the length will be (x + 7) cm             [because, length...

Q: Let D = {b, a, c, k}, E = {t, a, s, k}, F = {b, a, t, h}. Using these sets, find the following:20. F...

A: Let us consider the universal set as set of all alphabets. Then F^c contains all elements os U excep...

Q: solve the system x-y+z=-1 x+y-2z=7 -2x+4y+2z=-4 x= y= z=

A: To solve the systemx-y+z=-1x+y-2z=7-2x-+4y+2z=-4The system of equations are,

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A: Given: The Force (F) that is needed to keep a car from skidding on a curve varies inversely as the r...

Q: O EXPONENTIAL AND LOGARITHMIC FUNCTIONS Paul Graphing an exponential function and its aymptote: f(x)...

A: Given function is: For the given function when x = -2 For the given function when x = -1 For the giv...

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A: In order to sketch the graph of quadratic function, convert the given quadratic function into standa...

Q: Use the One-to-One Property to solve the equation for x. ex2-4  = e3x ​

A: Refer to the question,According to one to one property of exponents if bases are same, af(x) = ag(x)...

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A: Given:The function is 

Q: Find the indicated difference quotient and simplify your answer. f (x) = x 3 +3x, f (x +h)− f (x) /h...

A: Using given f(x) first find f(x+h).

Q: X2=10x+10 How do I complete the square in the above problem?

A: we are given a quadratic equation as 

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A: We are given an equation. 

Q: Solve the rational inequality and graph the solution set on a real number line. Express the solution...

A:         Given,

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A: The given circle equation is

Q: Use the given function to complete parts (a) through (e) below. f(x)-x-9x2 O Even, y-axis symmetry O...

A: The given function is,

Q: X2-x-4=0

A: Given,  

Q: Find an equation of the circle whose diameter has endpoints , 46 and , 4−4 .

A: To write down the equation of satisfied by all the points on the given locus

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A: Let x be the number of liters of water and y be the number of liters of cleaner.Then the first equat...

Q: (3/-6) (-11V-10) 11V - 10

A: To calculate the value of the provided expression which is shown below,

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A: Le the speed of wind is x miles/hour. The speed of the plane in still air  is 280 mph\'. Then speed ...

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A: Let x, y and z be the orders serve by Jane, Kareem and Ahmad respectively.Rewrite the sentence as an...

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Q: What are the zeros of the function x^2+2x-3 over x^2+3x+2

A: To find the zeroes of the function x2+2x-3 over x2+3x+2.The zeroes of a function are the values such...

Q: Collect like terms and then arrange them in descending order.-x+5/8+30x^3-x-1/2-3x^3

A: Here the given expression is

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A: Given information:The given function is  

Q: Find the quadratic function y ax +bx+ c whose graph passes through the given points. (-2,14), (1,-7)...

A: Given that, 

Q: How ti solve? Step by step

A: Simplify the given expression as follows.

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A: The parent function is given by,

Q: #18

A: Refer to question 18 to determine whether the graphs with equation x+5y=-6 and y=5x-8 are parallel, ...

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A: To calculate the complete factor of the function f(x)=2x3-3x2-32x-15 and the one zero of the provide...

Q: Given the function f(x) = vx-7, (a) Find f (x). (b) Graph f andf in the same rectangular coordinate ...

A: (a)Consider the given function:

Q: Solve and graph the solution on a number line: x-3>1

A: We are given an inequality as 

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.