Identify a mathematician that contributed to the development of theory of functions in Mathematics.  State the contribution made and why was it so important to the field of Mathematics.

Q: what is the Best use of Functions in math, also elaborates the types of function

A: Domain is defined as set of all those values of x on which function is defined while range is…

Q: 2- Find the domain of the following functions:

A: Domain of a function is defined as the set of all possible inputs.

Q: Define Algebraic Functions?

A: An algebraic function is described as a function that includes particularly algebraic operations,…

Q: 2. what is the domain of the function)

A: Given function is, f(x,y)=cos-1x2+y2-3+lnx2+y2-3 The graph of the function is,

Q: What is the input value in a function?

A: Input values

Q: What is a piecewise function?

A:

Q: Explain Composite Functions?

A: Given: Explain Composite Functions?

Q: Consider the function

A:

Q: Give the domain for the function. -2 -4 www.analyzemath.com O (-4,1] O [-4,- 1] O [-8,- 2] 21

A: According to graph

Q: Give four ways that functions may be defined and represented.

A: A function can be represented verbally. For example, the circumference of a square is four times one…

Q: Write an informal definition of a one-to-one function.

A: Functions are classified into two and they are one-one function and onto function.

Q: 23)

A:

Q: What is a function?

A:

Q: Give an example of Piecewise-Defined Functions?

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

Q: From a 12-cm by 12-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A: Given, Cardboard of size 12 cm  by 12 cm in which square corner of sides x cm is cut out. We have to…

Q: In plainspeak, what do composite functions do?

A: A composite function is generally a function that is written inside an another function. Composition…

Q: What is the domain and range of a function in calculus?

A: Domain of a function: All possible x values which a function accepts are called the domain of the…

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: How does one find the domain of a composite function? I am not understanding the process

A: Composition of a function is defined as,

Q: Which type of function is shown in the table below?

A: NOTE: Refresh your page if you can't see any equations. . from the table write the coordinates

Q: what is the Best use of Functions in math?

A: Functions are described as relationship between two or more variables which relates each other in…

Q: What is the midline equation for the function

A:

Q: Discretise the same function tained previously.

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

Q: What is the domain of this function?

A:

Q: . Explain how you could use a complete numerical representation (table) for a function to determine…

A: Finding the domain and range

Q: Write the main ways functions are combined or transformed to form new functions?

A: If two functions are given then we can use the composition of functions to find the new composite…

Q: 11. Describe the relationship of input and output values for composite functions.

A: Given problem:- Describe the relationship of input and output values for composite functions.

Q: Classify the given functions according to whether they are power functions or polynomials.

A: x=x12    Hence, it is a power function

Q: What is an appropriate domain for this function?

A:

Q: Explain what it means for a function to be (1) and give an example of such a function.

A:

Q: Which kind of function is called the greatest integer function?

A: f(x)= [x] is called the greatest integer function.  We have to take the greatest integer less than…

Q: Is the assignment of a person to their nose an example of a function?

A: we have to choose the correct option

Q: Can this be a one to one function?

A: Defnition:  Let f:R→R be a function , if f is said to be one to one then every element in domain has…

Q: Is this function Discrete, continuous, piecewise, or linear?

A: as we can see here graph does have scattered points so the given function is not Discrete. now, as…

Q: a general, the zeros of a function

A: Zero of a function :

Q: Which number(s) can be placed in the empty cell so that the table of values satisfies the definition…

A:

Q: 12. Functions that describe

A: The relationship between predators and prey is called predation. Its takes in cycles of time in…

Q: Explain MATLAB function?

A:

Q: Graph the original function by indicating how the more basic function has been shifted, reflected,…

A: given, to graph -1(x-5)2 using transformation base function for given function is f(x)=1x2

Q: Identify the relations which are also functions.

A:

Q: Explain the Algebraic Function?

A: The algebraic function is defined as a function that involves only algebraic operations like…

Q: Describe the Algebraic Functions?

A: A function involving only mathematical operations like addition, subtraction, multiplication,…

Q: Sketch the graph of the function by making a table of values. Use a calculator of necessary.

A: The given function h(x) is an exponential function with the constant multiple. Substitution of some…

Q: A function is even if the opposite input results in an

A: For even function :f(-x)=f(x)

Q: How can a function be described in pieces?

A: A function can be described in pieces with different formula in different intervals of its domain.

Q: Determine whether the following functions have an

A: Given,        f(x)=x2-1

Q: Explain a power function?

A: we have to explain a power function

Q: Construct a function that is undefined at points 2,3 and π

A: We have to write a function fx which is not defined at the points x=2, x=3 and x=π. We know that a…