Can a function be both even and odd? Give reasons for your answer.

Q: What is an odd function? How can you tell that a function is odd by looking at its graph? Give an…

A: If a function is symmetric about origin or if it satisfies f(-x)=-f(x). Then the function is an odd…

Q: say whether the function is even, odd, or neither.Give reasons for your answer. ƒ(x) = 3

A:

Q: Make a function that violates Clairault's Theorem. Explain why it does. Show how you got it.

A:

Q: What is meant by Constant function in reference to algebra?

A: If the value of a function if constant for all values of x, then it is called a constant function.…

Q: can an even function be selv-inverse?an odd function?

A: Can an even function be self-inverse?an odd function?

Q: The function

A: Given, the function f : ℂ→ℂ defined by                   f(z)=ez+e-zhas

Q: Does the following represent a function?

A:

Q: What is a function?

A:

Q: What is meant by the domain and range of a function?

A: The domain is the set of all input values for which given function is well defined.

Q: 1. What is an appropriate domain for the function? Explain how you know.

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

Q: Find the exact location of the relative and absolute extrema of the function.

A: Solve the following

Q: Can a function be both even and odd? Explain.

A: To check whether a function can be both even and odd.

Q: Give an example to explore numerically how a function behaves near a particular point at which we…

A: Solution: Consider y = f(x) = 1/x is the function Since at x = 0, this function is going to be…

Q: The graph of a function is shown below. On which interval is the function increasing and non-linear?

A:

Q: What is an even function? An odd function?

A: What is an even function?

Q: How does  a function behave near a particular point at which we cannotdirectly evaluate the…

A: To understand the concept we will consider an example

Q: Identify the key features of the given function.

A:

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: Which of the following is not a function in implicit form?

A: A function is in implicit form when f(x,y)=0 and explicit function is y=f(x).

Q: What is the range of this function?

A:

Q: Is this a function? Yes or no

A: our objective is to conclude

Q: What is a function, in your own words? Give an example to back up your points.

A:

Q: a function?

A: We know that ,  For a relation to be function each element of A should have single image in B.

Q: When is a function described in pieces?Give an example?

A: A function is said to be piecewise if it is defined using more than one formula where each formula…

Q: For a given function ƒ, what does ƒ′ represent?

A: If a function f is given, then the first derivative of the function is represented by f'. It can…

Q: Can the graph of a function be symmetric to the x- axis ? Explain why or why not. If a function is…

A: The answer is no. The graph of a function cannot be symmetric to x axis. The definition is as…

Q: Can the graph of a function be symmetric about the x-axis? If the answer is "Yes", give an example…

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Q: Which one of these is a function?

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

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Q: Explain what type of function is automatically an algebraic function?

A: A function is called as an algebraic function if it is made by algebraic operations like addition,…

Q: Can a function be both even and odd? Give reasons for your answe

A: We know

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

A: we have to choose the correct option

Q: On a piece of graph paper, draw the graph of the function y equals negative 1 half x space plus…

A: The given function is y is negative one half of x and plus 1.That is y = -x/2 + 1.

Q: Which of the following is an even function?

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Q: On a piece of graph paper, draw the graph of the function . What is the domain of the function? What…

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Q: The function f is linear. Can f be an odd function? Explain how you know

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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: Under what conditions imposed on functions the sum, difference, product and quotient of function…

A: We have to find the condition for which the sum, difference, product and quotient of function will…

Q: it a function

A:

Q: What is a one-to-one function?

A: A function can be said to be one-to-one if it never takes on the same value twice or more.

Q: When is it possible to compose one function with another? Give examples of compositions and their…

A: A new function can be created by combining the two pre-exist functions. This new function can be…

Q: Explain thoroughly and illustrate what it means for a function to be differentiable at a number a

A: First we will give the definition of a differentiable function then we will illustrate it with an…

Q: Give 1 example of real life situational that involves determining the function model in peicewise…

A: In day to life taxi fares are a piecewise constant function of distance traveled The rate of income…

Q: What is the apparent domain and range of this function?

A:

Q: What do you mean by even and odd function? Give two examples and show by calculation that those are…

A: f is an Even Function if f(x)=f(-x) g is an odd Function if g(-x)=-g(x)

Q: Sketch the graph of the function by making a table of values. Use a calculator of necessary. h(x) =…

A: Given function is hx=1.1x. List the values of the given function as shown in below table. x…

Q: A vertical line that the graph of a function approaches, but does not touch, is said to be a…

A: A vertical line that the graph of a function approaches, but does not touch, is said to be a…

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.