Find a formula for the function g(x) whose graph is obtained from f(x)= |x| by horizontally stretching by a factor of 3, and reflecting across the x-axis and shifting up 5 units

Q: Given the functions fAx) = x - x and g(x) = x- 1, determine an equation for the combined Ax) y =…

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Q: True or false: The graph of the reciprocal function f(x) =1/x has a break and is composed of two…

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Q: Find the local and absolute extremum for the functions over their domain: 3. f(x) = x*(x - 2)7

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Q: Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two…

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Q: f(x) = 4x^3 − 3x^2 − 18x + 5. (e) Find the inflection points of the graph of f, if any.

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Q: The domain of the constant function g (x) = k is ________, and its range is _______ .

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Q: Find the value of the following function at x = 3 and x = 4. Does the Intermediate Value Theorem…

A: Given: f(x)=-x3+3x2+2x+7. Substitute x=3 and x=4 in f(x). f(3)=-33+332+23+7=13>0…

Q: Find the absolute maximum and minimum values of the function over the indicated​ interval, and…

A: Solve by differentiating with respect to x then put df(x)/dx=0

Q: Find the Vertical and Horizontal Asymptote for the function 3x - 1 f(x) = x + 1

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Q: 4. Determine the number of x-intercepts that appear on a graph of each function. a.) f(x) = (x +…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: Given the function​ f, find the slope of the line tangent to the graph of f-1 at the specified point…

A: Obtain the inverse of the given function as follows:

Q: (1) If you have been hired at an annual salary of $23,000 and expect to receive annual increases of…

A: Since there are multiple questions the first question is answered as per our guidelines. kindly…

Q: Find all points on the graph of ​f(x)=8x^2−26x+21.   where the slope of the tangent line is 0. The​…

A: Given : f(x) = 8x^2-26x+21 Find: All points where The slope tangent line is zero. We know tha slope…

Q: The function h(x)= 1 over x-8, can be expressed in the form f(g(x)), where g(x)= (x-8) , and f(x))…

A: use composition of function to find the function f(x).

Q: Sketch the graph of the function f(x) = 3x + 4, its inverse, and the line of symmetry. All three…

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Q: State if the following functions is Even, Odd, or neither. Show some form of work or explanation for…

A: Given,  fx = x2                0 < x < 2 We have to find whether this function is odd, even or…

Q: The  ________________for a function f ( x ) for x and x + h in the domain of f, with h ≠ 0 is f ( x…

A: The  ________________for a function f ( x ) for x and x + h in the domain of f, with h ≠ 0 is f ( x…

Q: 2.) For the functions f (x) = 3x + 5 and g(x) = 2x – 8 find (E) (x) and give its domain in interval…

A: Consider the functions  f(x)=3x+5g(x)=2x−8

Q: b) For the functions f(x) g(x) = 1. The length of the line through the y-intercept of g(x) and the…

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Q: 3) Find the intervals where the function is increasing and where it is decreasing. f(x) = x² - 6x²…

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Q: For the function given by f(x) = 2x2 - 8 divided by x2 -1 , find the intervals where the function is…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Find the intervals over which the given function is​ increasing, is​ decreasing, or is constant.…

A: We have to find the interval

Q: The function f(x)=1+1.3 In (x+1) models the average number of free throws a basketball player can…

A: Obtain the average number of consecutive free throws the basketball player makes after 100 days.

Q: B- Gives a formula for a function y = f(x). In each case, findf" (x) and identify the domain and…

A: Explanation of the answer is as follows

Q: During a flu epidemic, the total number of students on a state university campus who had contracted…

A: "Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: Given:-f(x)=3+3x-3x2 ; 0, 3f'(x)=3-6xfor critical pointsf'(x)=03-6x=06x=3x=36=12second derivative…

Q: For the function f(x)=x^3/3 - x^2 - 24x +19 iv) what is the range of values over which the function…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: find the interval on which f(x)=x2-4x+3 is increasing and the interval on which it is decreasing by…

A: The graph is shown below:

Q: For the function f (x) = 3x? + 5x – 1, determine the required average and instantaneous rates of…

A: As per our guidelines we can provide solution to first 3 subparts only and rest can be reposted.

Q: For certain functions (and only those!), there is a relationship between stretching along the y-axis…

A: When the function fx=x2 is stretched vertically y a factor m, it becomes fx=mx2 and when it is…

Q: Please answer a,b,c

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Q: The function h is defined by h(x) = x^2 +2. find h(5z)

A: Given h(x)=x2+2

Q: For the function f(x)=3e^x^3 F’’(x)= 27x^4e^x^3-18xe^-x^3 Find f’’(1)=

A: We have to find derivative

Q: Find the equation of the horizontal asymptote for the function f(x)= 2 - (x / x2 -25)

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Q: 8. For the function f(x)=3x+5-11, find the values of x such that f(x)=0.

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Q: Sketch the graph of the function f(x) = ln x − 4 and state its domain.

A: Consider the function: fx=lnx-4 To sketch the graph of the function:

Q: The quantity of dollars in a bank account is given by the function f(x)=15(1.02)x, where x is the…

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Q: For f(x)=x^4-10x^3-33x^2+90x+216 find the following: g) Find the inflection points of f h) Find…

A: Given f(x) = x4-10x3-33x2+90x +216f'(x) = 4x3-30x2-66x+90f''(x) = 12x2-60x-66if f'(x) = 0…

Q: Find the x- and y-intercepts of the graph of the function f(x)=−2|x+5|+2. Enter your answers as…

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Q: Find the absolute maximum and minimum values of the function over the indicated​ interval, and…

A: First differentiate wrt x and put zero for criti

Q: 10. Given a function f(x) and g(x)%3= = -x+ 1, how would the graph of y =, (x) compare to the graph…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Graph the function: f(x) = x+1 for x<2. Show a T-chart with all of your work. Determine a solution…

A: Given function is f(x)=x+1 and we have to plot graph of f(x) for x&lt;2We have to show a T‐chart for…

Q: of the tangent line to the graph at any point (x,f(x)) is f'(x) and that the graph of f passes…

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Q: Determine the open intervals on which the graph of the function is concave upward or concave…

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Q: The period of the function f(x) = {7 4 for 0 < x < 8 and x for 8< x < 16 f(x) = f(x+16) is

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Q: Find a value of the constant k, if possible, that will make the function continous everywhere if…

A: The objective is to find the value of k that will make the function continuous everywhere.

Q: Express the solution as a piecewise-defined function and think about what happens to the graph of…

A: (c) In this question, we have to use the property of the Heaviside unit step function about t=5.…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.