1. Identify a mathematician that contributed to the development of theory of functions inMathematics. State the contribution made and why was it so important to the field ofMathematics.

Q: 1. Determine the number of degree and the end behaviours of the polynomial y = (x + 5)(x − 1)(x +…

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Q: 15. Given the fumctions a(x) = x² + 2x- 1 and b(x), shown on the graph below, find P(x), where P(x)…

A: Given:  a(x)=x2+2x-1. b(x)=x+3. Determine the function P(x).…

Q: 9) Find the Maximum or Minimum value of the following quadratic function: f(x) = -3x2 - 12x + 7

A:

Q: If a ball is thrown upward at 49 meters per second from the top of a building that is 30 meters​…

A: given St=30+49t-4.9t2

Q: Use your graphing calculator (or Desmos 2) to graph the following quadratic functions. a. Let f(x) =…

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Q: The following three quadratic functions have all been factored, and their graphs are shown below. 1…

A: The following three quadratic functions have all been factored, and their graphs are shown…

Q: If the xy-plane is overlaid on the figure such that the tee corresponds to the origin and each unit…

A:

Q: Suppose that 489 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: By Bartleby policy I have to solve first 3 subparts.

Q: Consider the following quadratic function. f(x) = −4x2 + 6x − 8 Find the vertex. (x, y)=

A: To determine the vertex of the equation.

Q: What effect does the “k” in F(x)= ^3 √x + k have on the graph of the cube root function if k>0 and…

A: Consider the given function and plot the graph for k = 0. Given, fx=x3+kFor k=0, fx=x3

Q: find the function P defined by a polynomial of degree 3 with real cooefficients that satisfy the…

A: find the function P defined by a polynomial of degree 3 with real cooefficients that satisfy the…

Q: 1. Identify which of the following are polynomial functions and, for those that are, specify the…

A:

Q: The following complete 2nd-order model is proposed to estimate the sales price of a single family…

A: Given model, E(y)=β0+β1x1+β2x21+β3x2+β4x1x2+β5x12x2

Q: 1. Create one(1) Polynomial Function (original/own) 2. Determine the behavior of its graph through…

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Q: 2. If a third degree polynomial has a lone x-intercept at x=a, discuss what this implies about…

A: The x-intercept of a function is the point at which the function touches the x-axis. That is the…

Q: Please I want solution with all steps. Many thanks

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Q: 17. For the base quadratic function, which of the following represents a vertical stretch by a…

A:

Q: 11. How many x-intercepts can a quadratic function have? Check all tha apply (there may be more than…

A: Given,

Q: 1) An engineer collects the following data showing the speed s of a Toyota Camry and its average…

A: We first plot the data on a graphing calculator.  The red line is the approximate quadratic…

Q: The following table shows the average new car transaction price in the USA as a percentage of…

A: To find:- (A) Find a quadratic function ​f(x) = ax2 + bx + c that fits the data, where x represents…

Q: or what value of m would the functions f(x)= −mx +5 and g(x)=mx2−4x+1 have exactly one point of…

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub-…

Q: 1. a) Create an equation for a polynomial function, P(x), of degree 3 or higher, in factored form…

A: A cartesian coordinate system contains two mutually perpendicular number lines named x axis and y…

Q: 27. Show that the third differences of a polynomial function of degree 3 are nonzero and constant.…

A:

Q: If a quadratic function has a dilation rule in the form f'(x) = af (x)´, what will cause a…

A: We have to find out  horizontal dilation

Q: The following table shows the height at half-second intervals of a rock that breaks free from the…

A:

Q: Explain in in words how to solve the 2 question 1) If a third-degree polynomial has a lone…

A:

Q: Suppose that 513 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: Let x be the width of the corral and y be the height of the rectangular section. And also the…

Q: A furniture manufacturer estimates that the weekly cost of manufacturing x units of a particular…

A: given weekly cost of manufacturing x units of a particular type of office chair is…

Q: Given the function f (x) = –x² +x, then what is f(x - 3) as a simplified polynomial? Answer: Submit…

A:

Q: 2. (а) Find the function P(x) = a +b cos(n x) +c sin(nx), which interpolates the data 0.5 1 y 4 (b)…

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Q: Find the quadratic polynomial g(x) = ax² + bx + c which best fits the function f(x) = e* at x = 0,…

A: We have to first need to find value of g(x).

Q: 9. Consider the function h(x) = 5/12 – 3x2. (a) For what values of x is the quadratic function f(x)…

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Q: 13. a) Determine the quadratic function that has zeros at -3 and -5, if f(7) = -720. b) Determine…

A: Soution is here

Q: 1.Discuss two practical applications in which “piecewise functions” are used either explicitly or…

A: We will answer the first three questions. Please resubmit the other question as a separate one.

Q: 12. If f(x) is a non-constant linear fucntion and g(x) is a quadratic function, then what type of…

A: f(x) is linear function so f(x) can be expressed as  f(x)=ax+b, where a≠0 and b are constants. g(x)…

Q: Find the formula of f(x) a polynomial function of a least degree

A: At x=-4 the curve cuts the x-axis. So x=-4 has multiplicity=1 So the factor is (x-(-4))=(x+4)   At…

Q: According to data, the accident rate as a function of the age of the driver in years x can be…

A: topic - quadratic function

Q: Find an equation for a polynomial f(x) that satisfies the following: Degree 3 Zero at x=3 Zero at…

A: We have to find degree 3 polynomial fx having zero at x=3, x=2 and x=-1, and y intercept is 0,4.

Q: 49. Find the quadratic polynomial g(x) = ax? + bx + c which best fits the function f(x) = e*t at x =…

A:

Q: manufacturer finds that the revenue generated by selling x units of a certain commodity is given by…

A: Given query is to maximize the revenue.

Q: 1. Determine the question of the polynomial function that has zeros at x =- 5 (order 2), x=-1 andx 4…

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: A printed poster is to have a total area of 567 square inches with top and bottom margins of 6…

A: Given: In the printed poster is to have a Total area = 567 square inches  The top and bottom margins…

Q: Determine the quadratic function of the form f(x) = a(x - h) +k whose graph is given on the right.…

A: A quadratic function is a polynomial of degree 2  and so the equation of quadratic function is of…

Q: 10 Determine the quadratic function whose graph is given below. Ay 221 2) (-2,-2) (9-'0) -22

A: given graph represent  a parabola open towards positive -y axis. so a <0

Q: Complete answer and solution only no need explanation What is the velocity in m/s at 16s using…

A: Please check step 2 for the solution.!

Q: Given the function g(x) – 5(x – 7)*(x + 1)°(x – 4), its roots are and their multipicities are

A:

Q: (ii)The profit function, in dollars, for a product is given byΠ(x) = −x^3 + 76x^2 − 380x −…

A:

Q: Suppose f(x) has zeros at x=−3, x=4, x=5 and a y-intercept of 17.  In addition, f(x) has the…

A: Given that

Q: 6) What is the function of the quadratic that was vertically stretched by a factor of 2 and shifted…

A: According to the guidelines issued by the company we are supposed to answer only first question.…