Elissa wants to set up a rectangular dog run in her backyard. She has26feet of fencing to work with and wants to use it all. If the dog run is to be x feet​ long, express the area of the dog run as a function of x

Q: The owner of a hamburger stand finds that she can sell an average of 200 hamburgers per day if she…

A: Suppose, y is the number of hamburgers she sells and x is a price of a hamburger. And, for the…

Q: determine where the function is concave upward and where it is concave downward    g(x)= -X^2+7x+8

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Q: Determine where the function f(x)=x4−2x3−12x2+1 is convex upward and convex downward?

A:

Q: is this a function and why y = x2 + 3

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Q: Graph the function. f(x) = -x+3 if x<2 %3D 2x-3 ifx22

A:

Q: Determine where the function is concave upward and where it is concave downward. g(x) = -x² + 9x + 3

A: if second derivative is positive in any interval then f(x) has cancave upward  if second derivative…

Q: Specify the domain of the function f (x) = /2x + 14.

A: Given : fx = 2x+14

Q: for what value of x does the function g(x)=1/3x3-2x2 concave downward?

A: Given  gx=13x3−2x2

Q: Find the domain of the function : 1/√(x+2)

A:

Q: Do f(x) = 2x2 - 1 and h(t) = 2t2 - 1 represent the same function? why or why not

A: The two given functions are

Q: 7) Determine when the function f(x) = 6x - 35x +56x - 20 is positive and when it's negative.

A: The given function is: f(x)=6x3-35x2+56x-20

Q: Identify the end behavior of the function f(x)=-x° + 3x² +x² – 3x to the left and to the right…

A: Given, f(x)= -x⁶+3x²+x²-3x

Q: Find the domain of the function. h(x) = 2x/  (x2 - 4)

A: we have to find the domain of h(x)=2x(x2-4)

Q: The total revenue for Jane's Vacation Rentals is given as the function R(x) = 400x - 0.4x2, where x…

A: Solution of question is written in below steps.

Q: Suppose that the function f(x) = 2x + 12 represents the cost to rent x movies a month from an…

A:

Q: Find the domain for (f- g)(x) when f(x) = v9x +7 and g(x) 10 8x

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

Q: Differentiate the function. y = (x+2)(x² + 2x +1)

A:

Q: Graph the piecewise function. 2x+3 if x< 0 f (x)%=D if x20

A: The graph is given below

Q: V, find f(x). 9 For the function f(x) =

A: Given f(x)=9x54 and i.e. y=9x54Now we swap x and y to find the inversex=9y54 and here solve for y

Q: Graph the function. -x²+1 for x1 5- 4 3- 2- -5 -4 -3 -2 -1 2 4 -1 -2-

A:

Q: Graph the function.   f(x)= −x+3 if x<2 2x−3 if x≥2

A: Given,            f(x) = -x + 3    if x &lt; 22x - 3    if x ≥ 2

Q: Consider the piecewise function 2 if x 2 x -4

A:

Q: For the function f(x) = 3x-2x-3x +2, find "(X). Then find f"(0) and "(4).

A:

Q: Find f ′(x) for the function f (x) = 7x −8

A: Differentiation is the process of finding derivative or rate of change of a function. Suppose we…

Q: A shipping crate has a square base with sides of length x feet, and it is half as tall as it is…

A: Square base, with sides of length x feet, and it is half as tall as its wide.

Q: The total revenue for Fred's Estates LLC is given as the function R(x) = 100x - 0.4x2. where x is…

A:

Q: Graph the piecewise-defined function. f(x) =    −4x     if  x &lt; 0 4x2     if  x ≥ 0

A:

Q: Determine if the function h(x)=11x* – 2x² is even, odd or neither

A: We can check the function even or odd or neither as below.

Q: Determine whether or not the function is homogenous. x5 f(x,y) = 72=2y² If it is homogenous state…

A: Given that: f(x, y)=x5x2-2y2

Q: f(x)=x3 - 2 is an example of a non-linear one to one function? Find its Domain and Range if it…

A:

Q: raph the piece-wise function.   f(x) = 6-2x  if x >2           2x^2-6 if x< or equal 2

A: Explanation: Given function is:                         To graph the piecewise function, we will…

Q: For the function f(x) = -4x find ƒ–1(x). 2x-3'

A:

Q: For the function y = 3x2 + 9x + 4, at the point x = 8, find the following.

A: Given data:     The given expression is: y=3x2+9x+4. The given point is: x=8.     (a) The expression…

Q: If g(x)= 3x²-1 and h(x)= 5x+2, which function will give (goh)(x) ?

A:

Q: If f:x x+ 1 and gf : x H+2x + 7, find the function g.

A: Given in the question -                                        f(x)  =   x+1…

Q: For the function z) =-3x+8 determine x when Ax) =-25,

A:

Q: For the function f(x) = 7x", find ƒ-'(x).

A: Given,         The function is fx=7x7 .

Q: Graph the function. - 2x+1 for x<-1 f (x) = 2x +1 for x2-1

A:

Q: Is the function f(x) = x3 one-to-one?

A: Given: fx=x3 Horizontal line test: If no horizontal line intersects the graph of the function more…

Q: What is the parent function of y = ○y=x³ y=x² − 3/3 (x + 2) (x − 8)?

A: y=-23x+2(x-8) we have to find its parent function

Q: Determine whether the function f is one-to-one.

A: A function is one-one if for every x there is only one y that exists in the range of the function.…

Q: Find f”(x) for the function f(x)= -4x^2-4x-9

A:

Q: A manufacturer of microwave ovens believes that the revenue R, in dollars, that the company receives…

A: The revenue function is given as follows. RP=125P-0.25P2 Find the critical points as follows.…

Q: A page that is x inches wide and y inches high contains 30 square inches of print. The top and…

A: Lets make a diagram using the given information

Q: Find the domain of the function f(x) = /x² – 2x – 15 Domain is (-00,-3]U[5,00) O Domain is (-00,…

A:

Q: Differentiate the function. s(t) = 6t − 4(2t4 + 4)3     and  g(x) = (x9 − 3x)−2

A:

Q: Suppose y=3t+5 and x=21t2. Write a function f that determines y in terms of x.

A: Here in the given function y in terms of t is y = 3 t + 5 and x in the term of t  is x = 21 t2.…

Q: Is the function h(x)=-|x-4| +3 a one -one function?

A: This is an absolute value function , so for two values of x we will find same value of y.