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

Q: Find the intervals where the function f(x)= x3- 3x 2+3 is increasing and intervals where the…

A: The given function is f(x)=x3-3x2+3. It is required to find the interval in which the function is…

Q: Sketch linear function f(x)=-3/4x-6

A: Given: sketch the linear function

Q: You have 600 feet of fencing to enclose a rectangular field. Express the area of the field, A, as a…

A: Let the length of the rectangular area=x and the width=ySo, perimeter=2(x+y)=600or, x+y=300or,…

Q: Find the domain of the function. (Enter your answer using interval notation) f(x)=1/x-7

A: Solution: The objective is to find the domain of the function

Q: Find domain of function  f(x) =1/√(x^2-6x+8)

A: The given function is: f(x)=1x2−6x+8 Find the domain of the given function.

Q: 5. Use the equation to classify the function as odd, even, or neither. g(x) = 4x3- x %3D

A:

Q: Give an example of Piecewise-Defined Functions?

A: By a piecewise defined function, a function of the form

Q: Differentiate the function. f(x)  = 3x2 -2cosx

A: Given: f(x) = 3x2 -2cosx Differentiate f(x) with respect to ‘x’

Q: Find (f- g)(1) when f (x)= -3x2 + 4 and g (x)= a- 4.

A: Given :

Q: You have 400 feet of fencing to enclose a rectangular lot and divide it in two by another fence that…

A: You have 400 feet of fencing to enclose a rectangular lot and divide it in two by another fence that…

Q: Sketch the function  f(x)=-x3-3x2

A: A function is given by, fx = -x3-3x2. The objective is to sketch the given function.

Q: Find the domain of the function (using interval notation). 2x - 5 f(x) : х2 +х — 6

A: The set of the values of x for which the value of y is real is called domain of the function

Q: Describe the end behavior of f(x) = -xª + x² –x +1.

A: see below the answer end behavior of a function means limit tends to either positive and negative…

Q: Find the points of inflection of the function f(x)=x2 / 1+x2.

A:

Q: sketch the graphof the function.f(x)=3^{-x^{2}}

A: we have to sketch the graph of f(x)=3^{-x^{2}}

Q: EXAMPLE: Find the interval where the function is decreasing or increasing (1) f(x) = x3-12x +5

A: Given function is f(x) = (x^3)-12x+6 Find f'(x) f'(x) = 3(x^2)-12 Do f'(x)= 0 , solving for critical…

Q: You have 600 feet of fencing to enclose a rectangular field. Express the area of the field, A, as a…

A: Consider the dimensions of rectangle be x and y. and Perimeter of rectangle is 600 feet. we know…

Q: You have 800 feet of fencing to enclose a rectangular field. Express the area of the field, A, as a…

A:

Q: How do I find the domain of the function f(x)=x4/x2+x-56?

A:

Q: Show that the function f (x) = -x3 + 2x2 - 6x + 3 is always decreasing.

A:

Q: Find f- (x) for f (x) = 1+ 8x. Enter the exact answer.

A:

Q: 2. How does the function f(x) = -4x + 3x3 behave as x -00 and x 00?

A: The objective is to describe the behaviour of the given function in the ends .

Q: Use graphing technology to find the domain of the function f (x) = Vx +3.

A: the domain is [-3,inf)

Q: Describe the long run behavior of f(x) - (x + 4)° (æ – 1) (æ + 3) As x → - 00, f(x) →

A: Limit problem....

Q: You have 600 yards of fencing to enclose a rectangular field. Express the area of the field, A, as a…

A: Since the length of fencing of a rectangular field is 600 yards, which means that the perimeter of…

Q: How do i find the end behavior of f(x)=-(x+1)^(2)+4

A: We have to find the end behaviour

Q: g(x) = In(4x - 3)

A:

Q: find the domain of the function  f(x) = 1-2cosx / 1-2sinx

A:

Q: Differentiate the function 7) a) f(x) = - 2

A: Here we have to find the derivative of the given function.  Here we use some standard formula of…

Q: function

A: We will solve the problem.

Q: Consider the function f(x) = х — 2 х — 4 -

A:

Q: Differentiate the function. 35 G(x) = Vx° - 2x G'(x) =

A: Answer

Q: Describe the concavity for the function f(x) = x³ – 3x.

A:

Q: Differentiate the function. f(x) = 16{x – 3 +2x

A: Given   f(x) = 16 x4-3+2x     now differentiating 1 w.r.t. 'x ' , we get    f'(x) = ddx16x14-3+2x…

Q: Differentiate the function. f(x)= -1 x+5 f'(x)3D

A:

Q: Consider the function f(x)=2x* – 4x² +4. Isƒincreasing or decreasing at the point x - 0.5?

A: Since you have asked multiple questions in a single request, we would be answering only first…

Q: Find the domain of the function : √(x+2)

A: Given function is fx=x+2

Q: Identify the intervals of increase and decrease of the function f (x) = 3x* – 4x + 1 in the interval…

A:

Q: State the intervals of increasing and decreasing behavior in the function f (x) = x 3 + 2x² – 4x +…

A: The function is fx=x3+2x2-4x+5.   Differentiate the function with respect to x.…

Q: Find the domain of the function.

A: We have to find the domain of the function: fx=x+2x2-1 We know that for any rational function…

Q: Differentiate the function   f(x) =    5  - 1 /x

A:

Q: What does it mean to find the zero of a function?

A: Given :  Zero of a function

Q: Find the domain of the function. (Enter your answer using interval notation.) f(x) = 1 X - 6

A: We have to solve

Q: 24. (EXERCISE) Consider the function f(x) = 3x* – 20x' + 42.x² – 36x .

A:

Q: Verify algebraically whether the function is even, odd or neither g(x) = x* – 2x²

A:

Q: Differentiate the function. f(x) = x³ - 7x + 2 | f '(x) =

A:

Q: xpressed as a function of x.

A: Given,

Q: x2+x is odd function

A: If the function satisfies f(-x)=−f(x) then it is odd.

Q: Graphs of f(x) = x 9 - 20x + l.

A: