What are the even Functions and Odd Functions?

Q: Is the function even, odd, or neither?

A: From the graph of the given function, it is observed that the graph is symmetric about origin. Or it…

Q: On which the interval the function is increasing?

A: Given,          The graph of the function is shown below :

Q: Find the points of inflection of the function f(x)=esinx.

A: Inflection point is the point where concavity of graph of function changes. At this point double…

Q: Show that the sum of two even functions is even and the sum of two odd functions is odd.

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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.

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Q: What is the purpo

A: To determine: Purpose on adding h to the function.

Q: when both the dependent and independent values of a function increase, it is said to be ?

A:

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: What does it mean if a function f is increasing on an interval?

A: Let the given function be y = f(x) And the interval be I.

Q: Give Definition of Odd Function ?

A:

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

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

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

A: What is an even function?

Q: How can we write a formula for this function?

A: The given function is a pair of two lines which are joined continuously. We will find the formula of…

Q: Use the graph of the function to estimate the interval on which the function is decreasing y Enter…

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Q: Even function or odd function?

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Q: sketch the graphof the function.f(x)=3^{-x^{2}}

A: we have to sketch the graph of f(x)=3^{-x^{2}}

Q: What is the range of this function?

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Q: Sketch the graphs of two distinct functions with the property f′(x)=−x^2+x

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Q: Use the graph of the function to estimate the interval on which the function is decreasing.

A: A function is said to be increasing when the y value increases as the x value increases.

Q: Explain how to determine whether a function is continuous at a number.

A: Given: Condition of whether a function is continuous at a number

Q: Find the domain of the function. (interval notation)

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Q: is even, odd function or neither

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Q: 5. What is odd and even function?

A: We have to define odd and even function.

Q: Show whether the function y=x² is considered as even or odd function

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Q: What is an appropriate domain for this function?

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Q: -1 is an even function

A: The given statement is true.

Q: The product of an odd function with an even function is even* True False

A:

Q: How would I find a function that models this?

A: From the given table , it is observed that the given table can represents a linear function.

Q: Over the interval of (1,∞) the function is positive, negative, increasing, or decreasing?

A: The given function is as shown below :

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

A:

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: Is (x^6)*cosax a even or odd function?

A: Given function is To find: is even or odd function. For even function For odd function

Q: Is there a function whose graph is symmetric with respect tothe x-axis? Explain.

A: If a graph is symmetric with respect to x-axis for a point (x,y) lying on graph if and only if…

Q: Describe how to tell when a function is discontinuous at thereal number x = a.

A: There are three conditions that need to be satisfied by a function f(x) in order to be continuous at…

Q: What is the function of the graph in the image?

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Q: Describe the Discontinuity Functions?

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Q: Estimate the intervals where the function is increasing or decreasing.

A: Given: The graph of the function is, To find: Where the function is increasing or decreasing.

Q: What is the end behavior of the function as x approaches negative infinity and positive infinity

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Q: Determine the intervals on which the function is concave upward and/or downward.

A: We will use second derivative test for concavity

Q: . Find the length of the graph of the function f (x) =x* + x2 -<x < 3. on the ir

A: The length of the graph of y=f(x) from x=a to x=b is given by:∫ab1+f'(x)2dx f'(x):…

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

A: Given function,  f(x)= 3x4 − 18x3 + x − 5 The function f(x) is concave upward on an interval I if…

Q: functions.

A: In a we have to define a function f that determine the amount that Monique pays (in dollars) for gas…

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

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

Q: Sketch the graph of the function over the indicated interval plot two exact points. y = 2tan( 7x-),…

A: to sketch the graph of the function

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

A: GIVEN

Q: What is the Horizontal Line Test for One-to-One Functions?

A: we have to define the horizontal line test for One-to-One Functions.

Q: What is the definition of an even function?

A: Let f(x) be a real valued function of a real variable, then f(x) is said to be even function if…

Q: Give Definition of Even Function ?

A: A function fx is said to be the even function if it satisfies the condition as, f-x=fx, for any…