Find the domain of the function. f(x) = /x-1 + Vx+7 What is the domain of f? O A. [0,00) О В. [1, 0о) O C. [-7,00) O D. (-0,00)

Q: On a certain route, an airline carries 8000 passengers per month, each paying $100. A market survey…

A: a) Given that the ticket price is x So the increase is (x-100) So the number of passengers lost =…

Q: An object attached to a spring oscillates around a position and is represented by the function…

A: Object is attached with a string and it's oscillating. It's height is represented by an equation…

Q: Consider the function f (x) = -7x² – 14x – 6 on the interval [-3, 2]. Find the absolute extrema for…

A: Given: f(x)=-7x^2-14x-6 Interval: [-3,2]

Q: Find the functions and their domains. (Enter the domains in interval notation.) f(x) = x + 1/x,…

A: Given, f(x)= x + 1/x  f(x)= (x²+1)/x For the function to exist the denominator must not be equal to…

Q: Differentiate f(x) = a4x4 -3ax² with respect to x. Assume that a is a constant. f'(x) =

A: f(x)=ax4-3ax2 differentiate with respect to x

Q: Describe the x-values at which the function is differentiable. (Enter your answer using interval…

A: A function f(x) is not differentiable at any value of x where it is not continuous.

Q: For the function f(x) - 12x +11, find all intervals where the function is increasing: f is…

A: Given the function f(x)=x3−12x+11

Q: Consider the function f(x) = x³ + x2 - x + 5 on the interval [-3, 0]. Find f'(x). f'(x) =

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Q: -5- - fx – 3;x 0 f(x):

A: Suppose we have piecewise function and need to find value of function at x=a . Follow below approach…

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

A:

Q: Find an equation of the line tangent to the graph of f(x) = (5x-9)(x+6) at (2,8). The equation of…

A: This question is based on application of derivative to find slope of tangent line.

Q: Differentiate the function with respect to the independent variable. 9 h(t) = -t²- +4 h' (t) =

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Q: The function f(x) 1-7 is 94z2 Select one a. Increasing on (-1, 1) and decreasing elsewhere. O b.…

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Q: A print shop makes bumper stickers for election campaigns. If x stickers are ordered (where x <…

A: Given: The price per sticker is p=0.27-0.000002x Total cost is C(x)=0.095x-0.0000005x2

Q: 2. The owner of the rectangular lot wants to put a fence around the area using 120- meter barb wire.…

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Q: Express the area and perimeter of an equilateral triangle as a function of the triangle’s side…

A: Given Side’s length of equilateral triangle is x units.

Q: On a certain route, an airline carries 7000 passengers per month, each paying $90. A market survey…

A: Given 7000 passengers per month paying $90. Each $1 decrease in the ticket price. The airline will…

Q: A rancher has 820 yards of fencing with which to enclose 2 rectangular corrals, both of the same…

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Q: Sue wants to put a rectangular garden on her property using 80 meters of fencing. There is a river…

A: The length of the side of the rectangle along the river is x metres. Let the width of the…

Q: Find the interval in which the function is negative. f(x) = x2 - 3x - 4 I. (- ,-1) II. (-1, 4) III.…

A: Given:   f(x) = x2 -3x - 4

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

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Q: the Domain (Dr) and Range (Rr) of the following function 4 f(x)=; V25-x4 O Df=[-5,5], Rf=[-2/5,…

A: The domain is a set of x-values where the function is defined. In other words, the domain is the…

Q: Find the range of the function y = -2|x – 3| + 2. O (-∞,2] O (-∞, ∞) O (-∞, 2) O [2, 0) O [3, ∞) O…

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Q: Match the function with its graph. I II y y 1+ III IV ++ i (a) f(x) = x2 ---Select--- (b) f(x) = x3…

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Q: Suppose that a company’s weekly profit is given by the function P= -0.2x^2 +100x-2000 where x is the…

A: the given profit function is P=-0.2x2+100x-2000 the average profit function is given by P¯=Px…

Q: The domain of the function f(æ) = v9-a is OR-{-81,81} OR-{-7,11} O R-{-9} OR O R- {9}

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Q: The range of the function f(x, y) = 6 - 4 - x2 - y² is (-00, 6] o [4, 0) [4, 6] (-0,4] [6, 00)

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

A: To find the concavity intervals, double differentiate the function f(x)…

Q: Determine the point at which the function is not analytic iz² – 2z ƒ(z) = 3z + 1 - i

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Q: Over the interval of (1,∞) the function is positive, negative, increasing, or decreasing?

A: The given function is as shown below :

Q: 22.) Whether Determine the equation represents a y Function of X. as 2 x² - y = 9

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Q: Determine the values of a and b such that the function is differentiable on (-, x2 +b, x〉2

A: Given piecewise function is:A function is differentiable when it is continuous and the left and…

Q: Conider the function defined implieitly byr-2ry+ - The equation of the tongpent line to the graph of…

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Q: Using the function f(x) = x³ – x² – 3x + 4. 17. Find the interval where the graph concaves…

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Q: - ∞ , - ∞)   B.( x | x ∈ R )   C.(- ∞, ∞)   D.( y | y ∈ R )

A: The function given is , y = 3x - 3. The domain of the function is defined as the set of values of x…

Q: f(x) = 3x4 − 18x3 + x − 7   concave upward     concave downward

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Q: Function f(x)=x°-6x+1 , increasing on interval .. (-00, -V3) and (V3, 0) 1. O (-v2, vz) 2. O (-0,…

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Q: Determine where the graph of the function f(x)= 2x-V49-x is concave upward and where it is concave…

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Q: Describe the x-values at which the function is differentiable.

A: The function given is y=x2x2-64. The derivative of the function y=x2x2-64. is,…

Q: Identify the open intervals where the function (x) =x/12-x* is increasing or decreasing. a.…

A: Please see the explanation below

Q: A ball is thrown in the air from the top of a building. it’s height,and meters above ground,as a…

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Q: On which interval is f(x) = x – 12x + 12 decreasing? o (-2, 2) o (-00, 2) o (-0, -2) U (2, +0) ㅇ…

A: Let's find.

Q: What is the domain of the function f(x) = |x|? 0 (-∞,∞) ○ (0,∞) 0 (-∞,0) ○ [0, ∞)

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Q: Suppose for a company the function of income (in dollars) is given by R(x)=-0.12x^3+1,296x+12201…

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Q: List the critical numbers of the function in increasing order f(x) = x^/*(9x – 36)² %3D critical…

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Q: 2х-3 Find the interval of f (x) = 5-4х that will make the function continuous

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Q: The function w(x) = -0.01x² + 0.27x + 8.60 can be used to estimate the number of self-employed…

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Q: (c) For what values of a and b does the function (ах- 3, x< 4 f(x) = -x² + 10x - b, x2 4 satisfies…

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.