Graph by hand function g using transformations (i.e. the techniques of shifting, compressing or stretching, and reflections). You may or may not need all of the graphs below. State the domain and, based on the graph, find the range. The first graph should have your basic function from the library of functions. Then graph one transformation at a time on 1. Graph f by hand; label 3 points on each graph, 10 10 10-8 2 468 10 10-8-6 -4-2 24 6810 10 10 10 10 10 2 4 68 10 10 2 4 6 8 10 10 10

Q: What is the range of the function f (x) = | x | + 2

A: Given:The function is f(x) = |x| + 2

Q: Find C and a so that f (x) = Ca^x satisfies: f (0) = 2 and f (3) = 54

A: Consider the function f(x)=Cax.Given that f(0)=2 and f(3)=54.Substitute x=0 in f(x)=Cax.

Q: Graph the solution to the following inequality on the number line. x(x-5)<=0

A: To graph the solution of the inequality x(x-5)<0 on the number line.

Q: Solve the given equation for x - 1•9 - 6 x = 7 •1

A: To solve the equation, PEMDAS rule is used to simplify the equation and then the variable is isolate...

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: Divide using long division. State the quotient, q(x), and the remainder, r(x). 5x 14x* + 14x+ 2x2+1 ...

A: The given expression is,

Q: Find an equation of the parabola with vertex , 34 and directrix =y2 .

A: It is given that the vertex of the parabola is (3,4), where h = 3 and k = 4 and the directrix is y =...

Q: Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the gra...

A: Calculation:Simplify the given function as follows.

Q: find the equation of a circle whose diameter has endpoints (-3,-3) and (-3,6)

A: We have been given endpoints of diameter of circle as (-3,-3) and (-3,6) and we need to find the equ...

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. -5x y= 13 y-22=-5 X- 2y + Z= 5 Select the correct choice below and fill in any ans...

A: We are given system of equations as 

Q: O SYSTEMS OF LINEAR EQUATIONS Paul Solving a value mixture problem using a system of linear equ Espa...

A: It is given that the first car has fuel efficiency of 20 miles per gallon of gas and the second car ...

Q: The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be redu...

A: To calculate the amount of mass of after 6 half-lives if the initial amounts of radioactive isotopes...

Q: The following equation is given. x3-3x-4x+12=0 X a. List all rational roots that are possible accord...

A: a. Find the possible rational roots.

Q: Solve for x: e x^ 2+6 = e 5x

A: Solve the equation to find the value of x.

Q: Graph. (If there is no solution, enter NO SOLUTION.){x | x > −2} ∪ {x | x < 1}

A: {x | x > −2} 

Q: The figure on the right shows the graphs of the cost and revenue functions for a company that manufa...

A: In order to break even we must have C(x)=R(x)

Q: Begin by graphing the absolute value function, f(x) = |x|. Then use transformations of this graph to...

A: Given:The function f(x) = |x|.

Q: Factor completely 128b^3+ 54=

A: Here, we take 2 common from both the terms and express the given expression in form of a^3+b^3. and ...

Q: 21) A camera production company's revenue is given by: R(x)-2x1 52x +750, where x is number of camer...

A: Find the number of cameras when the company produce to make $500.A camera production company’s reven...

Q: Solve the equation by factoring. Please explain how you did your work. 4x2+11x-45=0.

A: We have to compare 4x^2+11x-45=0 with ax^2+bx+c. So, a=4 , b= 11 , c = -45. In ax^2+bx+c form we hav...

Q: Suppose that the functions q and r are defined as follows. =q(x)=−x r=-2x^2+1 Find the following. (r...

A: In this question we have two functions q(x) and r(x), for which we have to find (roq)3 and (qor)3

Q: A chef at a local diner wishes to increase the amounts of ingredients shown below to make a proporti...

A: The proportion of black beans to tomatoes in the original recipe is 1 1/2 to 1.  The new recipe has ...

Q: The worldwide sales in millions of hand-held PCs can be modeled by the function P(x) 1.85(x 1998) + ...

A: The given sales function is P ( x ) =1.85(x–1998)+4.

Q: 72 voters are asked to rank four brands of soup: A, B, C, and D. The votes are summarized in the fol...

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

Q: Answer the following questions about the equation below. 12x3 +53x-34x + 5 = 0 (a) List all rational...

A: We are given an equation. 

Q: Stan paid $580.50 after taxes for a new television. If the sales tax rate is 7.5%, what was the cost...

A: Given, total cost = $580.50 and sales tax rate = 7.5% 

Q: Multiply. Use the distributive property.   -2(2a-4b)

A: The given expression is –2(2a–4b).

Q: You have $1200 for your trip to the beach. You estimate that it will cost $160 a day for food entert...

A: Given:The total amount for the trip to the beach is $1200.The cost of food, entertainment and hotel ...

Q: Solve for x. 32x-10 -81 The solution set is Enter your answer in the answer box e Quizzes & Tests In...

A: Given that 

Q: is a zero of f(x)=28x +88x-37x-7 2 7 3 Solve the equation 28x +88x-37x-7=0 given that (Use a comma t...

A: Since x=-7/2is a zero of the equation. We can divide the equation by x=-7/2 to get the quadratic equ...

Q: find the equation of a circle in which the endpoints of the diameter of a circle are at (4,-5) and (...

A: Given: The endpoints of the diameter of a circle are

Q: Condense the expression to the logarithm of a single quantity 1/2 [log 4 ( x +1) +2log 4 ( x −1)] +6...

A: Given, 

Q: O LINEAR EQUATIONS AND INEQUALITIES Paul Solving a value mixture problem using a linear equation Esp...

A: Let x be a number of pounds of type A coffee.Here, total number of pounds is 155 and two types of co...

Q: #33 and #34

A: Note: We are authorized to answer one question at a time, since there are two question, so we are an...

Q: Chemistry: How much acetic acid is in a 15-liter container of acetic acid and water that is marked ...

A: It is given that, the container contains 15-liters of solution and the given solution contain 60% of...

Q: Determine whether the given ordered pair is a solution of the system. (3,-5) 2x+ 3y 9 3x-2y 21 solut...

A: We will plug x=3 and y=-5 in 2x+3y=-9 and check if it works. It works.

Q: Find f(-x)-f(x) for the following function. 3 fx)=x +x-6 fx)-f(x)= (Simplify your answer. Do not fac...

A: Given,

Q: Number of Students: In a certain school 80% of the students in first-year chemistry have had algebr...

A: Total number of students in first year chemistry is 280.In which, 80% students have had algebra.Ther...

Q: Solve the given exponential equation. Express the solution set in terms of natural logarithms or com...

A: Given exponential equation is, 

Q: Solve each system by elimination #6

A: The system of equations is given as

Q: Simplify the difference quotient x)-fa) for the following function. x-a 3 f(x)x 8X

A: Firstly, we find f(a) by replacing x by a in f(x). < Then substitute the values of f(x) and f(a)....

Q: Use the leading coefficient test to determine the end behavior of the graph of the given polynomial ...

A: Given:The function is f(x) = 7x7 +2x6 + 8x4 + 8.

Q: A jet travels 4576 mi against a jetstream in 8 hours and  5696 mi with the jetstream in the same amo...

A: Let, the rate of the jet in still air is = x mi/hourAnd the rate of the jet stream = y mi/hour.Speed...

Q: In Exercise 4, given each set of numbers, list the a) natural Numbers b) whole numbers c) integers d...

A: Given set of numbers are:Natural numbers:The numbers that are used for counting are called natural n...

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: Evaluate the expression without using a calculator. log 24 log 24 Enter your answer in the answer bo...

A: Given information:The given expression is  

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,

Q: x2 - 4x + 40=0   how do i complete the square in the problem above?

A: We are given equation as 

Q: Condense the expression log4 x + log4 3 to the logarithm of a single term.

A: We will use the addition rule of logarithm.