We exclude from a function's domain real numbers that cause division by

Q: A wire length 23 is to be cut into two pieces and formed into a square and a circle. Let x represent…

A: Given that the total length of the wire is 23. That is, the perimeter of the wire is 23. Let x be…

Q: How is the vertical translation related to the algebraic function and what does it represent in…

A: Vertical translation:- The value by which graph shifted vertically For sine function y=Asin(Bx)+C As…

Q: 3 situations that could represent functions

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Q: We exclude from a function’s domain real numbers that cause division by________ .

A: We know that the denominator can never be 0. Because division by 0 is undefined.  So, we eliminate…

Q: Is there a procedure I can use to write a function as a composition?

A: We can write the innermost function as the last function. And the outermost function as the first…

Q: Graph the piecewise function defined by

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Q: Summarize what happens in a cube root function.

A: The cube root function is generally given by Y3 = X.   Now here for the all nonzero real numbers,…

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: List the various rules that allow us to differentiate constant functions,power functions,…

A: To explain: The differentiation rule: Explanation: The constant rule is used to differentiate…

Q: Suppose that function f divides x by 3 and adds 11. Write an equation for f−1(x).

A: Given, the function f divides x by 3 and adds 11.That is

Q: In your own words, describe what it means for a function to be continuous at a point.

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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: Are all even exponents like y=x^2 even functions

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Q: When two odd functions are multiplied, the combined function is also an odd function.     True or…

A: Given statement is, when two odd functions are multiplied, the combined function is also an odd…

Q: What is the domain of the radical function shown on the graph?

A: The domain of the graph is found along x-axis and the range of the graph is found along y-axis.…

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

A: Greatest integer function means the greatest integer contained by a number. So, if a number x such…

Q: Find the exact location of all relative and absolute extrema of the function f(x)= 8x² +48x +9 with…

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Q: In your own words explain how to form the composition of two functions.

A: Query- In your own words explain how to form the composition of two functions. Answer- Camposition…

Q: Graph the piecewise function defined by

A: To draw graph of fx=x+2       if x≤14             if x>1

Q: What can you conclude about the inverses of functions whose graphs are lines perpendicular to the…

A: If a graph of a function is perpendicular to the line y=x, then the reflection of the line on y=x…

Q: In your own words, explain the Intermediate Value Theorem

A: we have to define the intermediate value theorem.

Q: * The product of two odd functions are even True False

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Q: Show how to find the domain of the function

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Q: We exclude from a function’s domain real numbers that cause division by .-------------

A: Given a function’s domain real numbers that cause division by .-------------

Q: A rectangular plot requires 2000ft of fencing to enclose it. If one of its dimension is x (in…

A:

Q: Determine the interval on which the functưon is decreasing 20 10 5.

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Q: Can the functions be added, subtracted, multiplied, and divided except where the denominator is zero…

A: Let two functions be f(x) and g(x).   We want to apply operations on both the functions.

Q: create a piecewise function showing the rate of money f(x) that must be paid by a customer after…

A: In this question, First, we are to create a piecewise function showing the rate of money f(x)  that…

Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) x2 - 2x x2…

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Q: Define Į æ² – 5 2x + 1 - 5 if x 1 f(x) = Is there an open circle or a hole on the graph of this…

A: for this function, the value of x should be less than 1  which means there can be a hole at x=1 so…

Q: 1. Use synthetic substitution to find f (-2) if ƒ (x) = 2x* – 5x³ – x + 13.

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: Explain in many ways of why an absolute value Function an piecewise Function.

A: Given:   Explain in many ways of why an absolute value Function an piecewise Function.

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

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Q: Find the domain and the range and sketch the graphof the function F(x)=[. X+9 - 2x if x 3

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Q: About the Discontinuity of a function, kindly provide 5 Questions about it with solutions.

A: For a function f(x) to be continuous at a point x=a, it must satisfy the two of the following…

Q: When two functions are multiplied, the domain of the combined function consists of all the values…

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Q: In a few sentences explain how would you show a function is discontinuous.

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Q: What happens when the denominator of a rational function is zero at some x-value within the viewing…

A: Let consider the rational number, f(x)=h(x)g(x) Where h(x) is numerator and g(x) is denominator.

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: Discuss the continuity of the function

A: In the question we have to find the continuity of the function.

Q: The line G in the top graph indicates that the __________ of he function is all real numbers.

A: The line 'G' has arrow at both ends. It indicates that line 'G' is limitless in y-direction.  Hence,…

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: Graph the function Ax) = 4x-1, if x <-1 Determine if the function is continuous x-3, if x2-1…

A: The given function is  f(x) = 4x-1x-3if x&lt;-1ifx≥-1 A function is said to be continuous at a point…

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: If fis a function defined as f(x) =x* +2x-5x² +4x - 1, how many points of inflection does f have?

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Q: Explain in your own words what a function is. How is a function different from a relation?

A: A function is a relation between two sets that associates to each element of the first set exactly…