how do rational function apply in real life? give at least one situation.

Q: How can you say that f(x) = x² + x + 1 is a polynomial function?

A: Definition used -            Polynomial function -               In a polynomial function degree of…

Q: Write the equation of a rational function given its graph

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Q: How/why does f(x)=10/x become f(x)=10/x^2?

A: The process of how f(x)=1x become f'(x)=-10x2 has been explained in next step.

Q: How can say that f(x)= x3 + 2x+1 is a polynomial function?

A: We know the definition of polynomial, Any expression should be polynomial if there is no square root…

Q: Give the equation of the horizontal or oblique asymptote of the function. 2x3 + 11x2 + 5x - 1 x2 +…

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Q: Define the Rational Functions?

A: If a function is of the form R(x)=p(x)/q(x) Where p(x) and q(x) are polynomials. Then R(x) is a…

Q: Find domain of function  f(x) =1/√(x^2-6x+8)

A: The given function is: f(x)=1x2−6x+8 Find the domain of the given function.

Q: Can you show me how you would work f(x)=2x2-4x where f(-1)

A: Given function,f(x)=2x2-4xPut x=-1then,f(-1)=2(-1)2-4(-1)f(-1)=2(1)+4…

Q: The extreme points of the function f(x) = x3 – 6 x² + 9x + 1 are:

A: We have to find the extreme points of the function f(x) = x3 - 6x2 + 9x + 1 .

Q: Зx - 9х + 5х + 2 - 0

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Q: Does the function f(x)=2^x approach a certain real number as the value of x increasing positively?…

A: f(x) = 2x clearly, 2x+1 = 27.2 > 2x  f(x+1) > f(x) or if a E R (i.e. a>0) then f(x+a) = 2x.…

Q: What is the range of the rational function f(x) = 1/x?

A: Given rational function is ,                           f(x) = 1/x  Range : Range of a function is…

Q: What are the cut points of a rational function? Explain how to solve a rational inequality.

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Q: Find the absolute maximum or minimum if it exists. 3. f(x) — 2x2+ 3х — 2

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Q: What is f(x^2)? *

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Q: Find the domain of f(x) = 3

A: To find the domain

Q: What is a rational function?

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Q: 5x + 4 f(x)3D 2x -3

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Q: What is the equation for the given graph of the rational function in the picture? Please explain how…

A: To find: Rational function for the graph Vertical Asymptotes are the zeroes of the denominator That…

Q: What is the maximum value of the function f(x) = −x2 + 2x + 4?

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Q: How do I find the domain of the function f(x)=x4/x2+x-56?

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Q: Find the oblique asymptote of the function f(x)=(3x²-4)/(x+3)

A: The equation of the function is fx=3x2-4x+3

Q: What is the maximum value for the function f(x) = -x² + 2x+ 2?

A: The function is given by f(x) = -x2+2x+2 To evaluate : The maximum value of the function.

Q: can you find f(3) ?

A: Given graph of a function f(x).

Q: Explain how f (x) = (x − 1)2 + 3 is obtained from f (x) = x2.

A: Given f(x)=x^2, to obtain f(x)=(x-1)^2 from f(x)=x^2 we have to shift the graph to 1 unit right.

Q: Find the value of f(x)=-16x3+18x2-x+2 at x= -2

A: Given: fx=-16x3+18x2-x+2 To Find:  The value of fx at x=-2

Q: Find the domain of a rational function

A: A rational function is defined as R(x)=P(x)Q(x) where the denominator  Q(x)≠0 So, if the denominator…

Q: Find the inflection points of f(x) =x* +x° – 18x² +6. |

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Q: What are the Rational Functions?

A: Rational functions are the functions which can be written in the form of P(x)Q(x) where P(x) and…

Q: Find the zeros of f(x) = x3 + 2x²- 2x+24 %3D How do we know what number to use?!?

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Q: Differentiate f(x)=(3x^(8)-x^(-2/3))(6x^(1/3)-e^(3x))

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Q: Identify the rational function from the graph

A: Given that: Graph of r(x) as shown.

Q: Differentiate the rational function y=3x2+1x−1.

A: Given: y=3x2+1x-1 we know that ddxuv=vdudx-udvdxv2                                            ..1

Q: True or False: A rational function must always have an x-intercept.

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Q: Describe the Rational Functions?

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Q: Find the points of inflection of the function f(x)=2x4−3x.

A: Inflection point is a point on the graph of function f(x), where the second derivative f''(x) is…

Q: If f (x) = 3x + 7, find: %3D f(-2) = [ ? ]

A: Given,     f( x ) = 3x + 7

Q: fcx)= 4x2-x+1 X+7

A: Please refer the attached image for complete solution. THANK YOU.

Q: Differentiate the function and simplify. f (x)= 42x-4x+1

A: We have to differentiate the function: fx=42x3-4x+1 In such cases we need to use logarithmic…

Q: 6. If f(x) = 10x – 5, what is f-1(ƒ (3))?

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Q: determine where the function is increasing or decreasing for  f(x) = 8x^2 + 3x + 9

A: A function f(x)  is said to be increasing in an interval if the derivative of the function is…

Q: 2x + 3 x² + 2x + 4

A: To integrate the rational function. ∫2x+3x2+2x+4 dx

Q: Use your answer from the last problem to find f'(-3) for f (x) = 3x² – 4x + 2.

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Q: Find (f-1)(a). f(x) = 5x3 + 4x² + 6x + 6, a = 6 (F-1)'(a) =

A: We have to find out

Q: How do I convert the linear function c(x)=450+5.50x into a rational function?

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Q: Find the absolute maximum and minimum values of f(x) = 10x(2-lnx)

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Q: What is the domain of the function f(x) = 2x – 4?

A: Domain of a function is the possible values of x, which satisfies the function, i.e. we get a value…

Q: f(x) = x²+6x+5 2-1

A: I am attaching image so that you understand each and every step.

Q: Give an example of a rational function.

A: Rational function : A fraction which has the property that both its numerator and denominator are…

Q: Why must a cubic function have at least one x-intercept

A: A cubic function with REAL coefficients can have either one x-intercept or 3 x-intercepts. This is…