Given the quadratic function shown below whose turning point is (2, – 4), which of the following gives the domain interval over which this function is decreasing? (1) x>-4 (3) x>2 (2) x<-4 (4) x<2

Q: The function f(x)=12-6x4 has an absolute maximum value of _____________ and this occurs at x equals…

A: Given, Function f(x)=12-6x4

Q: Do you agree with the statement that “ cubic functions must have at least 1 x-intercept but not more…

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Q: Find the length L of the graph of 3 ( a) f(x)=x/2 +1 for 0<x< 4

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: 4. Find the points of local maxima and minima for the function f(x) = x* – 18x2 – 9

A: To Determine: Find the points of local maxima and minima for the function…

Q: Please I want solution of question 4 with step by step. Many Thanks

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Q: Given the piecewise function: 4x + 12 { x<-2 - 1<x f(x) = -2x + 6 18. What is the interval of the…

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Q: In 2009, the federal income tax T on income of x dollars (up to $82,250) was determined by the…

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Q: -1 -2 |(1, -2) -3 -6 -8 -9 -10 -4 -3 -2 Enter the rule for the quadratic function shown in the graph…

A: Using our general form of the quadratic, y = ax2 + bx + c, we substitute the known values for x and…

Q: 11.What are the zeros of the function represented by the quadratic equa g (x) =- (x-4)?

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Q: The range of the quadratic function f (z) is the set of real numbers less than or equal to 1. If the…

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Q: Find the equation of the quadratic function g whose graph is shown below. e (x) = 0 6- -12 -10 (-5,…

A: The given points are, (-5,-2) and (-4,-4)

Q: 5) Sketch the graph of the following quadratic function by plotting points: f(x) = x² + x – 4…

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Q: Do you agree with the statement that “ cubic functions must have at least 1 x-intercept but not more…

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Q: Question 7 Consider the Quadratic function f(x) = 9x² 4. Its vertex is ( Its largest z-intercept is…

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Q: If n is positive and even, where is the graph of f(x) = xn increasing and where is it decreasing?

A: For f(x)= xn  where n is positive and even. for these type of function the general graph is given…

Q: Find the standard form f(x) = a(x – h)² +k of the quadratic function based on its graph. 8. 6 4 2 -5…

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Q: Here is the graph of a quadratic function f. Select at least two equations that could define the…

A: Graphically roots are those x-coordinates where graph of function touches or cuts the x-axis. In the…

Q: If f(x) = x -kx^-1 has a relative maximum at x = -2, then the value of k is

A: We have to find value of k.

Q: The point of the given function at (2, -7) is found to be y = x3 – 2x2 – 4x + 1

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Q: 2. Begin by graphing the standard quadratic function f(x) = x² . Then use transformations of this…

A: 2.   The given function,   gx=-12x-22+1

Q: by graphing the standard quadratic function f(x)=x². Then use transformations of this graph to graph…

A: Please refer to the image below

Q: If f(1) = 2x - ka has a relative maximum at a -2, then the value of k is Answer:

A: Given that x = -2 is maximum point of the function f(x) = 2x - kx-2 We have to find the value of k.

Q: The function f(x) = 12 – 6x* has an absolute maximum value of 0 and this occurs at æ equals

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Q: Sketch a graph of the quadratic function. f(x) = x2 - 6x y y 10 10- 5- -10 10 -10 -5 5 10 5 10 10 y…

A: fx=x2-6x The graph is,

Q: 4. a. Construct a quadratic function with zeros at x = 1 and x = 2. b. Is there more than one…

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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: Find expressions for the quadratic functions whose graphs are shown. f(x) = g(x) = X X

A: Given: The graph for fx is, The graph of gx is, To find: The quadratic equation of both the…

Q: 3. The amount of junk mail received in one week by residents of a suburban town can be modeled by…

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Q: 2. Suppose the function f is defined as f(x): vertical asymptote(s) of f.( 6x²-8 (x-2)(x+4)' .Write…

A: As we know that; To calculate the vertical asymptotes, equate the denominator to zero and solve for…

Q: Find the equation of the quadratic function f whose graph is shown below. (3, 4) 4 2- | (4. 1) |f(4)…

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Q: Determine the quadratic function f(x) = ax + bx + c, whose graph is given. 2. 10 (-1, 4) 主 -10 10 x

A: We have to find quadratic function by graph.

Q: Consider the Quadratics function f(x) x^2 - 4x - 32   Its Vertex is _____ (    ,    )   Its…

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Q: The graph of a quadratic function f passes through the points (−2, 4), (1, 1) and (5, 0). What is…

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Q: The graph of f(x) = mx - 3x - nx +5 has a relative maximum at (-1,12) and a point of (1 3) 2' 2…

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Q: 15(a). Consider the quadratic function f(x)=-x² - 4x + 5. (i) Find the vertex and the intercepts of…

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Q: Suppose f(x)=-16002x^4+3201x^3-20578x^2+4017x+15 a.What is the “end behavior” of this function?…

A: Consider the function: a) End Behaviour: fx=−16002x4+3201x3−20578x2+4017x+15 When x goes to infinity…

Q: if the function f(x)= x^3+ax^2+bx has the local minimum value -2/9 cube root 9 at x= 1/cube root ,…

A: Given fx=x3+ax2+bx has local minimum value -239 at x=13 to find  value of a and b explanation as…

Q: The interval in which the given function is decreasing is at y = x3 – x2 – 5x – 4

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Q: 5. Sketch a possible graph of a quadratic function which has two real roots (one positive, one…

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Q: 4. The quadratic function f(x) has a turning point at (-3,6). The quadratic y=÷f(x)+3 would have a…

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Q: Find two quadratic functions, one that opens upward and one that opens downward, whose graphs have…

A: Given query is to find the f(x) which open upward and g(x) which open downward.

Q: Do you agree with the statement that “ cubic functions must have at least 1 x-intercept but not more…

A: Answer

Q: A quadratic function y J (x) is plotted on a graph and the vertex of the || resulting parabola is…

A: If y = f(x) + C ,then C &gt; 0 moves it up C &lt; 0 moves it down If y = f(−x), then Reflects it…

Q: Suppose f(x)=(x−5)(x+4) Solve (x−5)(x+4)=0 for x. What x-value produces a maximum (or minimum)…

A: Given: x-5x+4=0 To Find: Maximum and minimum value of fx. Concept: Suppose that x=c is a critical…

Q: Find two quadratic functions, one that opens upward and one that opens downward, whose graphs have…

A: A quadratic function with x-intercepts (-4,0),(5,0) then gives (x+4) and (x-5) are factors of…

Q: Consider the Quadratic function f(x) = x² – 3x – 28. Its vertex is ( ). Its x-intercepts are ( ) and…

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Q: Sketch the graph of the quadratic function. f(x) = x² + x - 4 y -10 -5 -10 40 20 -20 -40 5 10 y 40…

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Q: 7. a) Determine the restrictions on the y- intercept so that y = 3x2 + 6x - 1 intersects with a line…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.