Determine whether the given is a rational function, rational equation, rational equality, or none of these. х+1 = 7 3 а. b. x > Vx + 2 25 с. х+3 < x+5 d. f(x) = x+2 6. е. с(х) — 2 — 1 - 2x

Q: x-intercept  (x,y)=           (smaller x-value)

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Q: Find the x- and y-intercepts of the rational function. (If an answer does not exist, enter DNE.)…

A: To find x-intercept, substitute r(x)=0 and solve it:

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A: Given rational function is:

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Q: Formulate the rational function given the following characteristics: Vertical asymptote x= 7…

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A: To find the domain of the below rational function. fx=x−9x2+5 fx=11x+5

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Q: 4. Find the x-intercepts of the rational function y = 2² -r-2 p³ – 3x²+2° O x = -2, 1. O x = 2, –1.…

A: Given that:                      7. f(x)=x-1x+18. g(x)=2x+13x+19. f(x)=2x2+x-12x+3       NOTE: As…

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Q: Express the rational function as a sum or difference of two simpler rational expressions. 2x (x+2)²…

A: Use  partial fraction to solve

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A: We get the vertical asymptotes when the denominator of the function is zero.

Q: B. Find the x and y- intercepts of the given rational functions 1. f(x) = 3x+6/x 2. f(x) = x²-9/9 3.…

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A: We can draw these equation to find our graph and to get the answer.

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Q: 20x For the above rational function f( x ) = identify its three inflection points. 2x2 + 1 lowest =…

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Q: Find a possible equation for the rational function given

A: as we can see from the graph, here vertical asymptotes are x=-1 and x=2  so the denominator is given…

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A: Given: Graph:

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A: Find the zeros of P(x) using Rational Root theorem.

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A: detailed solution and filled table is given below

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Q: Find the x- and y-intercepts of the rational function. (If an answer does not exist, enter DNE.) ex)…

A: see below the answer

Q: 6) Find the domain of each rational function. 3x a) R(x) = x+4 4(x²-9) b) R(x) = %D 5(x2-7x+12)

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Q: Graph the rational function f(x)= ↑y K -12 -10 -6 -4 S -2 12- 10- 8+ 6+ 4 Y 2- -2- 4 -6- -8- -10-…

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Q: 8 R -5 -4 -3 -2 -1 3+ For the above rational function f( x ) = lowest = middle = highest = 12 %3D…

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Q: If the rational function  y = r(x)  has the vertical asymptote  x = 3,  then as  x → 3+,  either  y…

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Q: If the rational function y = r(x) has the vertical asymptote x = 2, then as x → 2+, either y →…

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Q: -5 -4 -3 -2 3 4 3 -4+ 18x For the above rational function f( x) = identify its three inflection…

A: It can be solved using differentiation.

Q: Over what interval is the graph of the rational function positive but decreasing? y 4 2 -4 0 2

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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…

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A: Here we have, to Express the rational function as a sum or difference of two simpler rational…

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Q: In Problems 15–26, find the domain of each rational function. 5x 3+ x -4x2 \ 17. H(x) 4x 16. R(x) (x…

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Q: Express the given rational function in terms of partial fractions. Watch out for any preliminary…

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Q: Give a possible formula for a rational function with vertical asymptotes x = 1 and r = -1,…

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Q: 10. Match the graph of the rational function given by ax + b ex + d with the given conditions. (a)…

A: Given: The rational function fx=ax+bcx+d. To Match: The given graph of given rational function with…