What are the types of symmetry and which of these can occur in a function? Describe the ways to test for symmetry.

Q: Sketch the graph of the function. Be sure to label three points on the graph. f(x) = 1/x

A: Given f(x)=1x x=1 ⇒f(x)=11=1⇒(1,1)x=-1 ⇒f(x)=1-1=-1⇒(-1,-1)x=2 ⇒f(x)=12=0.5⇒(2,0.5)x=-2…

Q: What is the input value in a function?

A: Input values

Q: What is a piecewise function?

A:

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

A:

Q: What is the range of this function?

A: We have to find the range of the function from the given graph.

Q: function

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Q: Describe the symmetry of the function.

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

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

A: Even function:  A function is even when the condition for all value of x. if the graph sees, the…

Q: Verify the natural domains and associated ranges of some simple functions.?

A: To verify: Domain and its associated range of some functions.

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

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

Q: How can the composite function be evaluated?

A: To explain how the composite function can be evaluated.

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

A: What is an even function?

Q: Even function or odd function?

A:

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

A: Graph of the function fx=x & label three points on the graph.

Q: give an example of a function with domain [0,1]and range consists of [-1,1]and (2,3)

A:

Q: Define the Piecewise-Defined Functions with an example?

A: Definition of Piecewise-Defined functions

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: What is the domain of this function?

A:

Q: Outline a method for locating the relative extreme points of a function.

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Q: Describe the four ways of representing a function.

A: Four ways of representing a function are: 1. Algebraically 2. Numerically 3. Graphically 4. Table…

Q: Explain the meaning of a function using a method of your choice.

A: We will find out the required solution.

Q: Sketch a possible graph of the situation. The height of a baseball as a function of horizontal…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: 5. What is odd and even function?

A: We have to define odd and even function.

Q: Sketch the graph of the function. Be sure to label three points on the graph. f(x) = x2

A: fx=x2

Q: What is an appropriate domain for this function?

A:

Q: explain composite function, and provide a real -world  example of composite function?

A: TO EXPLAIN - what is composite functions and explain with example

Q: 6. What is one process to determine if a function is ODD?

A:

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

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

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Q: How do I find the domain and range of a function

A: Domain: Domain is all possible x values which a function can have. Range: Range is all possible y…

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

A: We know

Q: Sketch the graph of a function that satisfies ALL the following properties:

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Q: Which of these describes the range of this function?

A: The given graph is the graph of modulus function.

Q: What is the piecewise function of this graph

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

A:

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: Find and graph a function that has both x-axis symmetry, and y-axis symmetry.

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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 why it is useful to know about symmetry in a function.

A: We need to explain the importance of the symmetry in a function. Function can be symmetrical over…

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: how to do function on a graph

A: The functions can be created on graph by plotting points on the graph by using equation of function…

Q: The graph of a function with origin symmetry can rise to the left and rise to the right.Determine…

A: The graph of a function with origin symmetry can rise to the left and rise to the right.

Q: how do I graph this function

A: