To strengthen your skills in determining rational functions, rational equations and rational inequality, construct five examples of each category

Q: Place any numerical value in the blank then graph the rational function. Please show the…

A: We need to draw graph of function after assuming values.

Q: Follow the seven steps stategy to graph the rational function: f(x)=4x2/(x2 - 9)

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Q: Classify -0.25 as rational or irrational. Explain.

A: 1. For 36, The number 36 is square of 6 and it is an integer. So, it is a rational number. 36=62=6…

Q: Find all numbers that must be excluded from the domain of the rational expression : (x + 5) / (x2 -…

A: The denominator can never be equal to 0

Q: What is a rational expression? Give an example with your explanation.

A: A rational expression is simply a quotient of two polynomials. On the other hand, a rational…

Q: Give an example of a rational expression with the given restrictions: x + 0, x + -,x # 5. Write the…

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Q: I Simplify the rational expression. Show your work. 2. 1+12x1+27x 2 x1+9x 2 Describe the process…

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Q: Determine whether the graph of the rational function f(x) = x+6/x2+2x-24 has a vertical asymptote, a…

A: fx=x+6x2+2x-24      =x+6x2+6x-4x-24      =x+6xx+6-4x+6       =x+6x-4x+6 We notice that x+6…

Q: The restricted values of the variable for a rational expression are those that make the denominator…

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Q: Follow the seven steps stategy to graph the rational function: f(x) =2/(x2 - 1)

A: Given  The seven steps strategy to graph the rational function are  1) Find domain ,2) Find range ,…

Q: Find the domain of the rational function.   f(x)=x−6/x+1

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Q: Find all numbers that must be excluded from the domain of the rational expression : 7 / (x - 3)

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Q: Create and graph an example of a Rational Function using case 2, the degree of the numerator and…

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Q: Simplify the rational expression.

A: Given: 5(x-3)(2x+1)10(x-3)2Description: terminate the common factor both in the numerator and in the…

Q: Find all numbers that must be excluded from the domain of  rational expression. [(x + 5/x2 - 25)]

A: Given: To determine all the numbers that is being excluded from the domain of rational expression.…

Q: How do you find the domain of a rational function? do you just set the numerator to zero and solve?…

A: Domain of a rational function f(x) is the set of all the points of x for which f(x) is defined, that…

Q: Follow the seven steps stategy to graph the rational function: f(x) =- 2/(x2 - x- 2)

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Q: Simplify the rational expression. Find all numbers that must be excluded from the domain of the…

A: Here given as

Q: Find all numbers that must be excluded from the domain of the rational expression : (x +7) / (x2 -…

A: The denominator can never be 0. Because division by 0 is undefined.

Q: 2 4 + = 0 х —1 2-x

A: Variables can be discovered in the denominators of rational expressions, resulting in rational…

Q: How to Simplify a rational expression? Explain with examples.

A: Rational expression:

Q: How to identify whether the given is a rational functions, rational equations or rational…

A: Rational function : A rational function is one such that fx=pxqx,where gx≠0rational equation :-…

Q: How to work out rational numbers

A: We have to explain about the rational number

Q: Place any numerical value in the blank then graph the rational function. Please show the…

A: Given the functions

Q: determine whether a product of two rational numbers is positive or negative.

A: Rational numbers : The numbers which are written in ab form.   We know that  When two rational…

Q: Find all numbers for which the rational expression is undefined -En

A: The given rational expression is n3-6nn2-4.

Q: True or False The rational expression (2x3 - 4x ) / ( x - 2) is reduced to lowest terms.

A: Given: The rational expression 2x3-4xx-2. The given expression can be simplified as,…

Q: Explain why it is necessary to checkthe possible solutions of a rational equation

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Q: 3. and· 3.x3 2.x 5) 4ху

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Q: Construct a rational function whose domain is all real numbers. Provide evidence as to why the…

A: Consider a rational function, f(x)=2x+5x2+1 here p(x)=2x+5,q(x)=x2+1≠0

Q: A rational expression, with a non-permissible value of x = 1, has been simplified to x. Determine a…

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Q: Reduce the  rational expression to lowest terms ( x - x2 ) / ( x2 + x - 2)

A: ( x - x2 ) / ( x2 + x - 2)

Q: Express the rational function as a sum or difference of two simpler rational expressions. x² +1 183.…

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Q: What are the distinct features of rational function, rational equation and rational inequality? 1.…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: How do I prove that the difference between two rational numbers is again rational.

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Q: Find the domain of the rational function. x-2 f (x) = r+4 Enter your answer in interval notation.

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Q: Find the domain of the rational function. x-5 f (x) = x+8 Enter your answer in interval notation.

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Q: Follow the seven steps stategy to graph the rational function: f(x) = (x-4)/(x2-x - 6)

A: Given: f(x)=(x-4)x2-x-6 We have to follow the seven steps strategy to graph the given rational…

Q: Follow the seven steps stategy to graph the rational function: f(x)=(x2 + x -2)/(x2 - 4)

A: It is given that  fx=x2+x-2x2-4 Simplifying we get, fx=1+1x-2                              ……(1)…

Q: One of the topics in this week is about adding rational (fraction) functions. In order to do that,…

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Q: Part 4: Add the rational expression. Identify any values that are undefined. x-3 x-2 11. X+4 4. 12.…

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Q: 8 8 = - 8: 2х—1 X

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Q: Find all numbers that must be excluded from the domain of  rational expression. [(x + 7/x2 - 49)]

A: Consider the following rational expression: x+7x2-49 Denominator of rational function should not be…

Q: Express the rational function as a sum or difference of two simpler rational expressions. x² +1 183.…

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Q: Find the domain of the rational function.   f(x)=x−1x+7   Enter your answer in

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Q: 6. Give the equation of the rational function plotted below. 5- -5- LO

A: If the graph of a function intersects the x-axis at x=c, then (x-c) is a factor of the function. If…

Q: add and subtract rational expressions; What are the 3 steps and find the least common denominator…

A: To add the rational expressions

Q: Explain how you would tell if a rational function contains a hole?

A: We have to tell how if a rational function contains a hole

Q: Find the domain of the rational function. x-7 f (x) = x+5 Enter your answer in interval notation.

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Q: truct a table of values and sketch the graph of the following rational functions. Input 3 values…

A: 4. Given,                f(x)=x2(x-1)+3