What are the points of intersection of the graphs of thefunctions f(x) = - 3x + 2 and g(x) = x2 - 2x - 4?

Q: The graph of f(x) = -3(x – 3)2 - 5 is a parabola that opens --Select--- v, with its vertex at (x, y)…

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Q: Find a function whose graph is a parabola with vertex (7,8) and that passes through the point…

A: we have to find a function whose graph is a parabola with vertex (7,8) and that passes through the…

Q: Sketch the graph of f.

A: fx=-4x-22 Since the denominator is zero at x=2, therefore it has the vertical asymptote at x=2.…

Q: The graph of f(x) = 4(x - 4)2 - 7 is a parabola that opens --Select--- v , with its vertex at (x, y)…

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Q: I am trying to find the absolute maximum and minimum value of the function (x2/3)(x-5) But there…

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Q: Find two real numbers whose difference is 40 and whose product is a minimum.

A: Let the two real numbers be x & y. Since the difference is 40, therefore x-y=40⇒y=x-40   →1 Now…

Q: What are the points of intersection of the graphs of the functions f(x) = - 3x + 2 and g(x) = x2 -…

A: At the point of intersection of two graphs, the value of both the function is equal. So, equate f(x)…

Q: Find a function whose graph is a parabola with vertex (7, 8) and that passes through the point (6,…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Sketch the graph of the curve f(x)=3x³ - 3x + 2

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Q: The graph of function f(x) = x³ 6x2 + 9x + 1 is concave upward on (-∞, 2) (-0, 0) (2, оо) о (-2, 2)

A: f is concave up when f''(x) is greater than 0

Q: Find a function whose graph is a parabola with vertex (4, -3) and that passes through the point (3,…

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Q: Use the Leading Coefficient Test to determine the end behavior of the graph of f(x) = x* – 4x?.

A: To Determine: use the leading coefficient test to determine the end behaviour of the graph of f(x).…

Q: The graph of f(x) = 3(x – 4)2 - 3 is a parabola that opens ---Select--- ♥ with its vertex at (x, y)…

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Q: solve using limits f(x) = x^2 + 2x - 3,   at f(x) = -4

A: The given function is f(x)=x2+2x-3 at x = -4

Q: Sketch the graph of f (x) = 1/6x3 - 3/2x2 + 5x + 1.

A: To Sketch the graph of function f(x)=16x3-32x2+5x+1

Q: maximum number of turning points possible for the function f(x) = 9x* + 2a³ – 6x – 5, is

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Q: Give the domain and range of the quadratic function whose graph is described. Minimum = - 7 at x = 1

A: The solution is attached below in Step 2

Q: 4=-Y36x-4)'+2 (4,2). Equation #15 maximum or minimum

A: Given function is,

Q: Two key points on the graph of g(x)=8^x are (1, _) and (0,_)

A: Given the function  g(x) = 8x we need to find it's two key points with given information. Now let (1…

Q: x +y + 2z=1 2x-y-z = 0 x +2y-z = 4

A: Follow the steps below.

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: Since the graph is of a parabola so the function must be a quadratic.

Q: suppose that the selling price P of an item to the quantity x is given by  P=-1/4x +50.   0<or= x…

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Q: Find a function whose graph is a parabola with vertex (5, -4) and that passes through the point (1,…

A: Please refer the attached image for complete solution.

Q: Is the point (4, 14) on the graph of the function g(x) = (x2 + 4)>(x + 2)?

A: Given inequality is: gx=x2+4>x+2 Given point is (4, 14).

Q: Kindly show detailed solution. x2 Maximum point of y2 х-2

A: Given a function : y2=x2x-2 We need to find the maximum point. Let's begin.

Q: Find two numbers with difference 130 and whose product is a minimum.

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Q: Find the point on the graph of the line f(x)=3x+4 that is closest to the point (6,3) x= y=

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Q: What is the multiplicity of the zero at x=-2 of the function represented by the graph?

A: Given,           The function represented by the graph is shown below :           To find : What is…

Q: What is the minimum of f (x) = (x + 3)2 − 4?

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Q: Find the interval where the graph of y = x3 + 2x2 − 4 is decreasing and concave up.

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Q: Find a function whose graph is a parabola with vertex (5, -2) and that passes through the point (4,…

A: To find a function whose graph is a parabola with vertex 5, -2 and that passes through the point 4,…

Q: Find the 2 points where the absolute maximum and absolute minimum of the function occur: m(x) = 2x²…

A: Given equation is   m(x)=2x2-7x+9 We have to find the absolute maximum and minimum of the given…

Q: 4. Using at 7 points, graph the function f(x)=2x 10-

A: First we find out the values of y at the different point of x and then make the graph.

Q: graph

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Q: Use the guidelines of the section to make a complete graph of ƒ.

A: we will first derivate the function and equate it equal to 0 we have…

Q: Find a function whose graph is a parabola with vertex (3, -2) and that passes through the point (1,…

A: Topic =Parabola

Q: The absolute maximum value of the function y = 4x5 - 10x2 – 8 on the interval [-2, 2] is

A: Given: y = 4x5 - 10x2 – 8                                                     intervals [-2, 2]  to…

Q: 2. Find the local and the absolute maximum and the minimum values Ax) = x4 – 8x3 + 6x² + 40x + 3 of…

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Q: If the utility or profit function for a product is: U (x) = 5,600x + 85x ^ 2-x ^ 3-200,000 dollars,…

A: If the utility or profit function for a product is Ux=5600x+85x2-x3-200,000 dollars, will selling…

Q: positive root of  x3  -x-3 = 0 ,

A: Function is fx=x3-x-3 Positive roots of fx=x3-x-3 by graphing method

Q: If the profit function for a product is  P(x) = 1200x + 80x2 − x3 − 58,000  dollars, selling how…

A: P(x)=1200x+ 80x2 -x3…

Q: Determine the vertex of the function f(x)= lx-1l -1 How do I solve this?

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Q: find a function whose graph is a parabola with vertex (1, -2) and that passes through the point…

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Q: Find the maximum and minimum points of f(x) = x(12 – x)?

A: topic - application of derivatives

Q: find the critical points of the function f(x)=5x3-75x

A: fx=5x3-75x Differentiating with respect to x, we get f'x=53x2-751=15x2-75

Q: The path of a diver is modeled by f(x) = - :-x² +24x+9 where f(x) is the height (in feet) and x is…

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Q: A manufacturer finds that the profit obtained by selling x units of a certain product is given by…

A: Given that the profit function of selling x units of a product is given by Px=-0.2x2+400x-2500. It…

Q: Find the attractive fixed point of g(x) = 4x - x2 4 | 2

A: Fixed point: The point of intersection of y=f(x) and line y=x are known as fixed points: Example:…

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.