Q3/Discuss the behavior of the following function as x 0 : fox) =

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: Differentiate the following Algebraic function. 2x2 1.y = - V7 3x-2 2. y 2x+1 3.y =+

A: 1.y=2x2x2-x232.y=3x-22x+13.y=5x2+1x3Note :If multiple questions are given we have to answer only…

Q: Suppose that function f cubes x and adds 20. Write an equation for f−1(x).

A: The given function is

Q: s the correct function for

A: The graph corresponds to cosine function. Also at x=0 ;y =1  , hence it must be an cosine function.

Q: Graph the piecewise function defined by

A:

Q: Graph the piece-wise defined function. for x -1

A:

Q: Determine the end (long run) behavior for the function below:   f(x)=x^4−3x^3+x−1

A: Solution ) f(x) = x4 - 3x3 + x - 1  We only see Degree of polynomial = 4 ( even )  Leading…

Q: What is the end behaviour for the function f(x)=-3logx

A: The given function is f(x)=-3log x

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

A:

Q: Describe the end behavior (long run behavior) of f(x) = x° As x → 00, f(x) → ? - As x → 00, f(x) → ?

A: The given function f(x)=x6

Q: What type of discontinuity is in the function f(x) = x-4/(x)^1/2 -(2)? Where is this discontinuty…

A:

Q: Which one of these statements in relation to the function f(x)= x+3/x is false?

A: Explanation of the answer is as follows

Q: Graph the piecewise-defined function. f(x) =    2x    if   x < 0 −2x    if   x ≥ 0

A:

Q: When functions are defined by more than one equation,they are called________ functions.

A: When functions are defined by more than one equation,they are called________ functions.

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: Graph the piecewise function defined by

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

Q: 4. y = 2x + 2 - 2x² + x + 6

A:

Q: If electricity has a minimum monthly charge of $25.00 and a charge of $0.40 cents per unit kilowatt…

A: From the given the minimum monthly charge is observed to be $25. And they charge $0.40 per unit…

Q: Differentiate the following function: y=6x' +5x -4x+2

A: Differentiate of the function

Q: 3. y = √(1-x²³ √1-22

A:

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: Calculatelim,→0 f(x+h)-f(x) for f (x) = 2-3 1 h

A:

Q: Estimate f'(5) if f(x) = 3* %3D

A: Given:- f(x)=3x We have to calculate the f'(5)

Q: Describe the long run behavior of f(x) = 25 x + + 88x4 As x → 0, f(x) → ? - As x → 0, f(x) → ?

A: By using limit property, we find the behaviour of the given curve.

Q: 5. y = 8x³ - 1 3 4 x 2 - 1 -

A: Given: y=8x3-14x2-1. To be find: point of discontinuity. Concept: for a rational function. Point of…

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: x-4 5. f(x) = 2x3-4

A:

Q: Differentiate the following function:    y= (-7x^4 + 10x^2/5 + 8) (x^2 + 10)

A: The given expression is:

Q: Refer to the function: f(x)=[x] dertermine f(-0.8)

A:

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

A:

Q: Describe the long run behavior of f(x) - (x + 4)° (æ – 1) (æ + 3) As x → - 00, f(x) →

A: Limit problem....

Q: Based on past experiences, a homeowner estimates that appliances lose 35% of their resale value each…

A:

Q: -1 is an even function

A: The given statement is true.

Q: 8人t<1 X() = -Lt-2)

A:

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

A:

Q: b) Write a piecewise-defined function for the income of an author (f(x)) who earns $10 for each book…

A:

Q: A step-wise function is given below: f(«) = { * - x2 - 2x + 3, when x < 2 Vx 2, when x 2 2 What is…

A: See solution below.

Q: x = 0 is not a function. Select one: True False

A: A function is defined as the relationship between an input and an output. In function each input…

Q: Graph the piecewise-defined function. S3x ifx 0

A: GIven function fx=3x        if x&lt;0-3x     if x≥0

Q: Differentiate the following function. (DO NOT JUST SIMPLIFY.) Y=(X-X2) (X3+1)4

A:

Q: Determine the end (long run) behavior for the function below: f(x) = x* – 3x³ +x – 1

A:

Q: Determine the end (long run) behavior for the function below: f(x) = –2(x – 1)³(x+ 2)²

A: We first find the leading term of the given function  We will ignore the constants with the xs to…

Q: Differentiate the function: f(x) = √(1+3e4x)

A:

Q: 7, find out whether the following functions are analytic 24. y - ix x² + y²

A:

Q: use example 3.18 to contrust a table that describes the function H

A: To form the table, first take all the pairs in ℤ5×ℤ5. The following table gives the set of all…

Q: The original and restricted functions are not the same functions.True or false?

A: Given, 'The original and restricted functions are not the same functions.

Q: If f (x) is the function whose graph is shown, on which interval is fincreasing? Use cursor to…

A: f(x) is the function whose graph is shown, on which interval is f increasing?

Q: Find the function that satisfies the given conditions.

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.