Rational FunctionIdentify the domain and the equations of the holes, vertical asymptote and horizontal asymptote41) f(x) = 3x-3xx-42) f(x)-4x-16

Answered: Rational Function Identify the domain…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 61E

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DISCUSS: A Rational Function with No Asymptote Explain how you can tell without graphing it that the function r(x)=x6+10x4+8x2+15 has no x-intercept and no horizontal, vertical, or slant asymptote. What is its end behavior?
write an equation for a rational function with the given characteristics vertical asymptotes at x=-2 and x=4, x-intercepts at (-3,0) and (1,0), horizontal asymptote at y=-2 y=
Write an equation for a rational function with a slant asymptote; a hole at (5, -2); x-intercepts at x=−1,7,11; vertical asymptotes at x=2,9; and a positive y-intercept. Explain how you know the equation you produce satisfies all these criteria. Graph your equation as one way to verify/justify that it satisfies the criteria.
Write an equation for a rational function with the given characteristics. Vertical asymptotes at x= -1, x-intercepts at (-4,0) and (2,0), horizontal asymptotes at y=-3. Enclose numerators and denominators in parentheses. Include a multiplication sign between symbols. f(x)=
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F1x2 = - x4 + 8x2 + 9(a) Determine whether F is even, odd, or neither.(b) There is a local maximum value of 25 at x = 2. Determinea second local maximum value.(c) Suppose the area under the graph of F betweenx = 0 and x = 3 that is bounded from below by thex-axis is 50.4 square units. Using the result from part (a),determine the area under the graph of F betweenx = - 3 and x = 0 that is bounded from below by thex-axis.
Finding the equation of a rational function that has a vertical asymptote of x=2 and a horizontal asymptote of y=3 as its only asymptotes
vertical asymptotes at x=-3 and x=5, x intercepts at (-5,0) and (2,0), horizontal asymptotes at y = -2 How do i write an equation for a rational function?
A quadratic function f is given f(x) = 5x^2 + 10x + 6. In standard form form f(x) = 5(x+1)^2 + 1. The vertex is (-1,1) and the there is no x-intercept and the y-intercept is (0,6). I need to know how to write the domain and range in interval notation seperately. Please also graph.
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APPLICATION OF RATIONAL FUNCTION

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Rational Function Identify the domain and the equations of the holes, vertical asymptote and horizontal asymptote 4 1) f(x) = 3 x-3x x-4 2) f(x) -4x-16