#7 The table of values represents a polynomial function f(x). How much greater is the average rate of change over the interval [5,7] than the interval [2, 4]?

Q: Identify the new quadratic functions Move 10 units upward f(x) = -4x^2 + 2

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Q: Suppose that the selling price p of an item for the quantity x sold is given by the function p=-1/4x…

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Q: f(x) = x - 6x + 9x – 6 For this function, on [-1,5] interval, the absolute maximum is 10 and the…

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Q: The table of values represents a polynomial function f(x). How much greater is the average rate of…

A: To find the average rate of change, we divide the change in the output value by the change in the…

Q: Find the y-intercept of the polynomial function. f(x) = x2(x - 1)(x - 6)

A: Find the y-intercept of the polynomial function.f(x) = x2(x - 1)(x - 6)

Q: F(x)=-x^2+4x+200 Find the maximal profit

A: Differentiate given function and find value of x and put value in function for maximal profit

Q: Locate the absolute extrema of the function f(x)=-2r+ 12x+ 3 on the closed interval [-6, 6].

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Q: Зх-2 p) Find the domain of the function f(x) 3D 5x2+4x-1

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Q: 4. The function I results when the function f() = 2x" + 54x" is vertically stretched by a factor of…

A: Given The given function f ( x ) = 2x5 + 54x2

Q: 3. Sketch the graph of the polynomial function. Make sure to label the roots and y-intercept (Don't…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 6. Consider the quadratic function whose equation is f (x)= x²+ 2x-8. (a) Sketch a graph of f on the…

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Q: using​ INTERSECT, approximately ___ minutes need to elapse before the pizza is 170°F.

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Q: 1. The function f(x) "2x2 + 10x models the height above the ground, in %3D cm, of a jumping frog…

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Q: Y -5 Lastly find the maximum of the following function, and the (x, y) point at which it is located…

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Q: 2. f(x) = -2x(x + 6)(x – 4)³(x – 2)* a. How does the graph behave with relation to the x-axis at x =…

A: Result: Consider the polynomial p(x)=ax-a1n1x-a2n2⋯x-aknk. The real numbers a1, a2, ⋯, ak are the…

Q: f(r) = 2x- 33x2 + 108x +9 This function has a local minimum at x equals The minimum height is This…

A: f(x)=2x³-33x²+108x+9 To find local maxima, minima, maximum and minimum value

Q: 2. Determine whether each function is a polynomial function or another type of function. Justify…

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Q: 1.Find a formula for the functions described below: a) A line with slope 2 and x-intercept 5. b) A…

A: 1 b) The x coordinates of x-intercepts of the cubic polynomial are: x=1, 5, 7 The x-intercept of a…

Q: The function f(x) = -4x – 6x² + 240x – 7 is increasing on the interval ( It is decreasing on the…

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Q: Given the piecewise function: 4x + 12 x<-2 - 1<x f(x) = -2x + 6 -2 What is the relative maximum?…

A: We first sketch the function

Q: Word problem

A: (a) Sketch the profit versus the number of bicycles sold as follows. Since the minimum number of…

Q: Use the dynamic points to graph the polynomial p(x) = (x + 1)² (2 x – 2²). The fixed points…

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Q: Q3:Find the maximum and minimum value if any of the function f(x) = (2r – 1)2 + 3

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Q: explain this.    the given height of a spaceship at time x is defined by h(x)=…

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Q: What is the maximum of the function y = -x° + 3x for x > -1? O-4 O2 04 O-2

A: The given function is y=-x3+3x for x≥-1. Calculate the maxima of the function. Here we use the…

Q: P(x) = –x2 + 90x – 300 is a profit function where x is the number of items sold, and P(x) is the…

A: Given that, P(x) = –x^2 + 90x – 300 is a profit function where x is the number of items sold, and…

Q: .Elena is making an open-top box by cutting squares out of the corners of a piece of paper that is…

A: Let's find.

Q: X 1 2 3 4 5 20 60 68 77 110 What is the value of y-intercept(first degree polynomial)? Blank 1

A: The given problem is to find the y intercept of first degree polynomial formed by given data points.…

Q: 2x+3 (1) Find the domain of the function_H(x)= 4r x -

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 3x x²-9 14. For the function f(x)=- a) The x and y-intercepts. find the following

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Q: -1 if x < -1 2. f(x) = 3x +2_if |x|<1 7-2x if x ≥ 1

A: Function

Q: x2+9x+20 1. Consider the function f(x) %3D x2-9 A. [3 pts] Find the values of x that makes f (x) =…

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Q: Consider the Quadratic function f(x) = x - 3x – 40. Its vertex is ( Its largest x-intercept is x =…

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Q: b) Find all points of local maxima and local minima of the function f(x) = x' – 3x + 3.

A: We use application of derivatives to solve this problem.

Q: The revenue function R in terms of the number of units sold, a, is given as R= 280x – 0.4x? where R…

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Q: The cost C of a product is a function of the quantity x of the product: C'(x) = x² - 3000x+50 .Which…

A: Please refer to the image below

Q: A​ once-popular children's doll is slowly declining in popularity. The quartic function…

A: The quartic function f(x)=0.002x^4+0.025x^3-0.36x^2-7.243x+86.993, where x is the number of years…

Q: 3 3 Z =6x,. X2 + X, + Xg + l06 find the endpoints of the function

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Q: 2x - 3 Examine the function f(x):= x²+4 from the point of view of monotonicity and give its local…

A: This question can be solved using the concept of monotonicity and local extrema.

Q: 2. Given below is the graph of a degree 6 polynomial function, y = p(x). If p(-1) = -12, find a…

A: Graph of a degree 6 polynomial function y=p(x), p(-1)=-12.

Q: a² – 4a + 4 Find the function value. Let f(x) = 6x + 5 and g(a) = g(-4)

A: see below the solution

Q: Q1. Determine whether this is a quadratic spline function T € (-00, 1] f(x) = {-(2 – x)² + T € [1,2]…

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Q: V. Find the value of k that makes the function continuous. 2x2-3-15 if x + 3 if x = 3 f(x) = %3D x-3…

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Q: 4. Which of the following is the maximum value or the minimum value of the graph of polynomial…

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Q: Find the maximum profit and the number of units x that must be produced and sold in order to yield…

A: Given: The revenue function is Rx=x2+110x+60. The cost function is Cx=1.1x2+10x+80.   Determine the…

Q: For what value of x does the function f(x) = x³ – 2x² + x -11 have a relative maximum? -1/3 1/3 -1

A: Using application of derivatives.

Q: How do you find the largest open interval of the domain over which function is increasing? With the…

A: This parabola is facing downwards because the leading coefficient is = -1/2 which is negative.  So…

Q: a) Expand the function f(x) = –3 (x + 5) (x – 4) (x – 5) f(x) = b) What are the zeros of the…

A: Topic = Functions

Q: . The polynomial function y = x³ +ax² +bx+5 has a local minimum at æ =1 and an inflection point at æ…

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Q: 7. The weekly profit of a company is given by the function f (x)=-0.40x² +80x-600 where x is the…

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Exponential Growth Model

The relation that represents an exponential function is: