Determine the domain of the function (x) 4-x (a) [-2, 2] (b) (-2, 2] (c) (-2, 2) (d) [-2, 2) (e) (2, o )

Q: Find the domain of the function. f (x) = square root x-7 divided by (x+10) (x-11)    (11, ∞) [7,…

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Q: true or false?  A polynomial function is continuous and differentiable for all inputs.

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Q: -10-8 6 4 2 2 4 6 8 10 2 4 6 8 10 X

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Q: Find the area of a triangle bounded by the y axis, the line f(x)=8−16x and the line perpendicular to…

A: Given ,   f(x)=8-16x

Q: The intervals of increasing and decreasing for the function f(x) = (x – 4)² + 8 is increasing in [6,…

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Q: Find all absolute and relative extreme values of the function f(x) = -x° + 2x2 - x - 1, on the…

A: Here we have to find the relative and absolute extreme values

Q: The intervals where the function f(x) = -x² + 8x + 8 is increasing and decreasing is increasing in…

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Q: relation

A: Domain of f  =  {29, 4, 8, 20}  =  X. For the element '4' in set X, there two images '-2' and '0' in…

Q: Sketch f(x) = −3(x − 2)(x + 1)(x + 2). Show all your work.

A: f(x) = −3(x − 2)(x + 1)(x + 2). The graph cuts x axis at x=2,-1,2 so these are said to be the…

Q: x2 + 4х + 3 23. у %3

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Q: What do you mean by generating function?

A: In mathematics, a generating function is a way of encoding an infinite sequence of numbers (an) by…

Q: With utilization of the product rule for functions of one variable, show how it could be viewed as a…

A: Take the function, f(x,y) x,y are variable.

Q: f(x) = -x/x-1, show that ½[f(x) + f(-x)] = f(x2)

A: The given function is fx=-xx-1.

Q: Sketch f(x) = (x)/ (x^2 +1)

A: Given,  fx = xx2+1  We have to sketch it .

Q: Find the interval or intervals where the function is increasing and where it is decreasing.  Please…

A: A function of x is said to be increasing on an interval when the derivative function is positive on…

Q: escribe the end behavior of the graph of the function  a) f(x)= -4(8)^x -3 as x-->negative…

A: Given function  f(x)=-48x-3

Q: A ball is thrown upward of a 100 meter cliff with an intial velocity of 6 m/s. The function f(x) =…

A: Given: - A ball is thrown upward of a 100 meter cliff with an initial velocity of 6 m/s. The…

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: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 13…

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Q: Find the area of the region bounded by f(x)=-x^2+6x-5, the x axis, and the lines x=2 and x=5. Graph…

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Q: Find the domain of the function. (Enter your answer using interval notation.) x + 9 if x < -3 f(x)…

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Q: Give a rule of the piecewise-defined function. Give the domain and the range. 2- -3 -2 -11. 345 -2-…

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Q: Differentiate the function. f(x) = x72 − x + 9

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Q: give an example of a function with domain [0,1]and range consists of [-1,1]and (2,3)

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Q: Determine whether the function f(x) = 2x√(x2 + 3) is even, odd, or neither.Then describe the…

A: Determine whether the function f(x) = 2x√(x2 + 3) is even, odd, or neither.Then describe the…

Q: Find the domain of the function. (Enter your answer using interval notation.) u + 2 (u) 2 2 +

A: We have to find domain

Q: Use the table to evaluate f(-1). x------ -3,-2,-1,0,1,2,3 y=f(x)--- 3,-3,2,1,-2,0,-3

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Q: f(«) — — |ӕ — 3| + 2 А. Domain: х2 Range : (-, С. Domain : (-о, оо) Range : y > 2 D. Domain : (-0о,…

A: Given: f(x)=-|x-3|+2 is ranging from y≤2 with thedomain ℝNot Correct Answer: A.  Domain: x≤2and…

Q: of Zzyzx has been decreasing linearly for the past 7 years when the population was 2550. This year…

A: In this question, the concept of linear equation is applied. Linear Equation An algebraic equation…

Q: Mathematically show that f(x) = 3x³ – x is an odd function.

A: A function f(x) is said to be an odd function when; f(-x)=-f(x) where the sign is reversed but the…

Q: Graph of f 8. 7. 6. 5. 3. -10 -9 -8 7 -6 -5 -4 -3 -2 -1 3 4 5 8. 10 -1 -2 -3 -4 -5 -6 -8- 6.

A: The graph of a function f is given as, The objective is to find the value of ∫-49fxdx.

Q: Let f = {(- 2,1),(1, - 1)} and g = {(-2, - 4),(3,0),(5,6)}. Find f+g and its domain.

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Q: The point (2,f(2)) is an inflection point .1 for the function f when f(2) = 0 %3D

A: Given statement,            The point (2, f(2)) is an inflection point for the function f when…

Q: A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point…

A: Given points are x,0 lies in x-axis,2,3 and 0,y lies in y-axisSlope between 2,3 &amp; x,0 = 3-02-x =…

Q: Determine the functions domain and range. f(x) = (x - 1)² - 2 %3D O domain: [-2, ∞) range (- 0, 0)…

A: The domain of a function f(x) : The set of values of x for which the function f(x) is defined.…

Q: A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides…

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Q: An open box is to be constructed by cutting out square corners of xx-inch sides from a piece of…

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Q: Estimate of f′(3)

A: NOTE: Refresh your page if you can't see any equations. . to find the value of f'(3), we need to…

Q: domain and range of f(x,y)

A: Given: f(x,y)=9-x2+y2 -42 To find: Domain and range.

Q: Differentiate a function using chain rule H (x) = 1/(9x2 - 16)3

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Q: What is the degree, leading term, leading coefficient, and constant term of the functions below? How…

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Q: у 3 2 1 -1- -2 -3 1 2 3 4 5 6 X

A: Here is the solution:

Q: - 9α+4 f (æ) 5x2-8

A: To differentiatef(x)=-9x+45x2-8

Q: Relation

A: We have to consider the given relation is function or not function

Q: Part II. Evaluate the piecewise function for the given values of x. fx +5 if -4 x<-2 f(x)=- 1. if…

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Q: Find the domain of the function. (Enter your answer using interval notation.) g(x) = /x+ 5 --

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Q: Give the domain and range of the function. 15) h(x) =-6|x| A) Domain: all real numbers; Range: (-~,…

A: A detailed solution is given below

Q: IT -2, when -A <x<- f (x) = when %3D <Xく - - -2, when IT <X <I. - 2,

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Q: What are the domain and range of the function? f(2)=3√x-3 Domain: (3, 00) Range: (0, ∞) Domain: [3,…

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.