What is an even function? How can you tell that a function is even by looking at its graph? Give an example of an even function.

Q: Give an example of real-life application of function.

A: Function defination: Generally  a function has a dependent variable and a independent  variable. By…

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: A movie theater has a 23-foot-high screen located 9 feet above your eye level. If you sit x feet…

A: Given: θ = Viewing anglex = distance from screen in feets.θ = tan-132x - tan-19x…

Q: Find the coordinates of a second point on the graph of a function  f  if the given point is on the…

A: The point on the graph of f is 4, 3 and f is an even function.

Q: Which graph best represents a function with a range of all real numbers greater than or equal to 8?

A: For (a), Similarly, for (B) the range is (-∞,-8]. And the range of (C) is [8,∞).

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

A:

Q: Only functions whose graphs pass the ___________ _____ test will have an inversethat is also a…

A: To Determine: Only functions whose graphs pass the ___________ _____ test will have an inversethat…

Q: If you are given a function’s graph, how do you determine if the function is even, odd, or neither?

A:

Q: In Problem,is the graph shown the graph of a function?

A: Draw vertical lines parallel to the y-axis.

Q: 3) Without a graph, how can one show differentiability of a function at apoint?

A: With out the graph, to show the differentiablity of a function at a point we have to use the…

Q: The graph below is of a function f(æ) with domain (-∞, 0). It consists of three lines.

A:

Q: What is the graph of a real-valued function of a real variable?

A: What is the graph of a real-valued function of a real variable.

Q: (a) If the point (5,3) is on the graph of an even function,what other point must also be on the…

A: A function y=f(x) is an even function if f(-x)=f(x) (5,3) is on the function means f(5)=3

Q: Which function is best represented by this graph?

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Q: What are the types of symmetry and which of these can occur in a function? Describe the ways to test…

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

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Q: How does the graph of an odd function look like?

A: The graph of an odd function is symmetric with respect to origin.

Q: Investigate the behavior of the function as n or x grows large by making a table of function values…

A:

Q: Define Increasing and decreasing function?

A: According to the question, we have to define the increasing and decresing function. To check the…

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: What is the range of this function?

A:

Q: How can looking at the graph of a function help you tell where the function is continuous?

A: For the graph of function to be continuous, it needs to be smooth without any holes, jumps, or…

Q: x 3.

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

A: f(x)=13x

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

A: f(x) = 2x

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: Explain Even Functions and Odd Functions?

A: Even function: A function is even if the graph is symmetric about y axis. Or Consider f(x) is any…

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

A:

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

A: g(x)=3(1.3)x

Q: What is an even function? An odd function? What symmetry properties do the graphs of such functions…

A: Even Function: Let f be a real valued function of real variables. Then f is even if for all such x.…

Q: The process of determining a function whose graph contains given points is called

A: If data points are given then one can determine the function or equation of graph.  Locate the data…

Q: How to distinguish an Even function from an Odd function and the relationship between them.

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Q: Suppose the graph of fis given. Describe how the graph of the function can be obtained from the…

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Q: Draw the graph of the function given by the rule.

A: The given function is  f(x)=x2+2x+1x2-4x+4 The function can be rewritten as…

Q: Can the graph of a function be symmetric about the y-axis? If your answer is "No" explain why. If…

A: Yes the graph of function can be symmetric about the y-axis.

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

A: We know

Q: How can you sometimes identify a function ƒ(x) by knowing ƒ'and knowing the value of ƒ at a point x…

A: To identify the function fx when f' and value of function fx at a point is known.

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: What is the domain of this function in the graph?

A: Given :   The graph of the function.   To find : The domain of the given graph.

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: Describe how the graph of the function f(x) = (x - 4) obtained from one of the basic functions. Then…

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Q: Graph the function defined by Ax) - Fx+ 1.

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Q: Sketch the graph of the function. Be sure to label three points on the graph. f(x) = 3

A: f(x) = 3 =>  y = 3 It's an straight line.

Q: (1 point) Match the function with one of the graphs below. A B.

A: the graph of function is given below.

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: How can a function be represented algebraically by formula and visuallyby a graph? Give an example?

A: How can a function be represented algebraically by formula and visuallyby a graph? Give an example?…

Q: What is an even function? An odd function? What symmetry properties do the graphs of such functions…

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

A: To give an example of the graph which is symmetric about x-axis.

Q: o draw a vertical line on the graph so it intersect

A: Given that: Graph:

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.