y = np- [NOTE: Enter a function as your answer. Make sure that your syntax is correct, i.e. remember to put all the necessary (. ), etc. ]

Q: Give an example of a function whose domain D has three elements and whose range R has two elements.…

A:

Q: 6- Complete the description of the piecewise function graphed below. -6 -2 -2- -5- 8- { if -6 <x < -…

A: Will find this function by finding the equation of the three different straight lines.

Q: Show that the production function f (x) = - () x3 + 10x? + 5x, -∞< x< ∞ has both a concave and…

A: Find your answer below

Q: 8. Determine algebraically if the function is even, odd or neither. y = -2' - |-2°|

A:

Q: Write a short statement that expresses a possible function between the given variables. 1.)…

A: By definition, a function is a special case of a relation between the members of two sets. It is a…

Q: Give the domain and range for the following piecewise function in INEQUALITY notation.

A: as we can see from the graph, there is a close dot at x=-5 and there is an open dot at x=3 so the…

Q: An open box is to be made from a square piece of cardboard of side 12 inches by cutting out squares…

A: To find the size of squares cut out of the box for maximum volume.

Q: Consider the function f(x) = x* – 4x³ + 4x? + 4

A: To investigate whether the optimal points are global or not.

Q: What is the Domain?​​​

A: Domain is the set of the possible values of the independent variable;   Hence,…

Q: Which term describes the set of all possible output values for a function OA Output O B. Domain O C.…

A: The set of all possible out put values for a function describes by

Q: What is the domain of the following function?

A: Given f(x,y) =4-x2-y2 - ln(y-x) + sin(x)Let g(x,y) =4-x2-y2 h(x,y)= ln(y-x) and t(x)=sin(x)

Q: Give an example of a function whose domainD has three elements and whose range R has two elements.…

A: Domain: The domain of the function is the set of all input values, for which the function is…

Q: Evaluate the function graphically. 10 8. 6. -10 -8 -6 -4 -2 4. 8. 10 -2 -4 -6 -8 6 2. 4. 2.

A: Given:

Q: What’s the maximum of this function?

A: Maximum value attained at x=0

Q: Write a piecewise-defined function C that specifies the agents cut of a contract worth X dollars. if…

A: Given:1The agent gets 5% of the first 7,000,0002The agent gets 5.5% of the next 10,500,0003The…

Q: 3 Write the function in vertex form. ! LL.LI.le * II. f (x) =

A: Given graph of the function,

Q: Discretise the same function tained previously.

A: Given,              ϕ=x(x-3.5)(x+3)+30

Q: Refer to the graph ofthe function and complete the statements 44) Asx -o0, f(x)- As x → n,f(x)→ 44)…

A: In the given graph, there are vertical asymptotes and horizontal asymptotes.Clearly, left hand limit…

Q: 6+ Write the domain of the function using interval notation.

A: Domain:- All possible value of x

Q: 4. Classify the function on the graph as odd, even, or neither. 2 2. 4 -2,

A: Graph of the function is given, we have to find it is odd or even or neither

Q: What is the domain

A: To determine the domain of given graph.

Q: An algebraic expression in two or more variables describing a quantity that must be maximized or…

A: Complete the statement "An algebraic expression in two or more variables describing a quantity that…

Q: 9. If the cube root parent function is horizontally stretched by a factor of 4, then translated 5…

A: Question 9 is solved in detail below.

Q: If the rule of the function fis "add four" and the rule of the function g is "multiply by 7," then…

A: the rule of the function f is 'add four' and the rule of the function g is 'multiplied by 7'

Q: Describe the end behavior (long run behavior) of f(x) = x° As x → - o, f(x) → ? v As x → 00, f(x) →…

A: The given question can be solved as shown in step2.

Q: An algebraic expression in two or more variables describing a quantity that must be maximized or…

A: An algebraix expression in two or more variables describing a quantity that must be maximized or…

Q: to determine whether the function is even, odd, or ne 4-

A: Here we have to determine even or odd function,  we have,

Q: What are the minimum and maximum values of the function Ax) = x3 on the interval [-3, 2]? a minimum:…

A: Check by first derivative in the given interval and than find minimum and maximum values.

Q: a general, the zeros of a function

A: Zero of a function :

Q: Evaluate the function graphically. 10 8. 6. -10 -8 -6 -4 -2 4. 8. 10 -6 -8 -10

A: Given:

Q: In the problem you are asked to find a function that models a real life-life situation and then use…

A: Given situation: The two positive numbers whose sum is 100 and the sum of whose squares is a…

Q: What is the vertex of the function, y = 3/x – 5 + 4 O (3,4) O (5,4) O (3.-5) O (-5,4)

A: Given: y=3x-5+4 ⇒y-4=3x-5 ⇒y-42=9x-5 ⇒x-5=19y-42

Q: Find the number of all one-one functions from set A = {1, 2, 3} to itself.

A: Given set A = {1, 2 , 3}.It is also given that the function is one-one function.As the function f is…

Q: Why is f'(x) =0 not enough to justify if there is a max or min? Sketch a counter-example.

A: f'(x)=0 simply means that the slope of f(x) is zero for the value of x for which f'(x) is zero.

Q: 우6)-- (x*+ 2ya + x- 1 ) fx)= +2x²- %3D

A: The given function is f(x)=-13(x3+2x2+x-1). Differentiate the function with respect to x and equate…

Q: 3. When can you say that the function is an implicit function?

A:

Q: 7. Lin says that a snack machine is like a function because it outputs an item for each code input.…

A: topic - functions note- as per bartleby guidelines ,if more than one question is posted ,only first…

Q: 7. $177 Write two functions to model the cost of renting skis S(x) and renting a snowb a.…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: 2. Does a rule from one set to another set need to be explicit in order for the rule to qualify as a…

A:

Q: Which pair of statements describes the end behavior of the graph of the function f(x)= x3 + 2x2²…

A: First draw the curve , it is a cubic curve for large values of positive x, f(x) will be very large.…

Q: use example 3.18 to contrust a table that describes the function H

A: To form the table, first take all the pairs in ℤ5×ℤ5. The following table gives the set of all…

Q: Find a quadratic function that fits the set of data points. (0,– 2), (5,28), (25,48) f(x) = | |(Use…

A:

Q: Determine whether the function g(x)=−x+2  is increasing or decreasing. Justify your conclusion using…

A:

Q: Find the maximum and minimum point of the function, if exist. у%3 х3 — 6х2 + 12х — 5

A: Given: y = x3-6x2+12x-5 To find maximum and minimum point of the function

Q: Are all functions also relations? Are all relations also functions? Defend your answers.

A: To explain the problem

Q: Give an algebraic example of a function whose domain is (-0, 5) U (5, ∞).

A: Given- Domain -∞,5∪5,∞. To give- An algebraic expression whose domain is -∞,5∪5,∞.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.