 4.6.1: In Exercises 110, find the domain of each rational function.
 4.6.2: In Exercises 110, find the domain of each rational function.
 4.6.3: In Exercises 110, find the domain of each rational function.
 4.6.4: In Exercises 110, find the domain of each rational function.
 4.6.5: In Exercises 110, find the domain of each rational function.
 4.6.6: In Exercises 110, find the domain of each rational function.
 4.6.7: In Exercises 110, find the domain of each rational function.
 4.6.8: In Exercises 110, find the domain of each rational function.
 4.6.9: In Exercises 110, find the domain of each rational function.
 4.6.10: In Exercises 110, find the domain of each rational function.
 4.6.11: In Exercises 1120, find all vertical asymptotes and horizontal asym...
 4.6.12: In Exercises 1120, find all vertical asymptotes and horizontal asym...
 4.6.13: In Exercises 1120, find all vertical asymptotes and horizontal asym...
 4.6.14: In Exercises 1120, find all vertical asymptotes and horizontal asym...
 4.6.15: In Exercises 1120, find all vertical asymptotes and horizontal asym...
 4.6.16: In Exercises 1120, find all vertical asymptotes and horizontal asym...
 4.6.17: In Exercises 1120, find all vertical asymptotes and horizontal asym...
 4.6.18: In Exercises 1120, find all vertical asymptotes and horizontal asym...
 4.6.19: In Exercises 1120, find all vertical asymptotes and horizontal asym...
 4.6.20: In Exercises 1120, find all vertical asymptotes and horizontal asym...
 4.6.21: In Exercises 2126, find the slant asymptote corresponding to the gr...
 4.6.22: In Exercises 2126, find the slant asymptote corresponding to the gr...
 4.6.23: In Exercises 2126, find the slant asymptote corresponding to the gr...
 4.6.24: In Exercises 2126, find the slant asymptote corresponding to the gr...
 4.6.25: In Exercises 2126, find the slant asymptote corresponding to the gr...
 4.6.26: In Exercises 2126, find the slant asymptote corresponding to the gr...
 4.6.27: In Exercises 2732, match the function to the graph.
 4.6.28: In Exercises 2732, match the function to the graph.
 4.6.29: In Exercises 2732, match the function to the graph.
 4.6.30: In Exercises 2732, match the function to the graph.
 4.6.31: In Exercises 2732, match the function to the graph.
 4.6.32: In Exercises 2732, match the function to the graph.
 4.6.33: In Exercises 3358, use the graphing strategy outlined in this secti...
 4.6.34: In Exercises 3358, use the graphing strategy outlined in this secti...
 4.6.35: In Exercises 3358, use the graphing strategy outlined in this secti...
 4.6.36: In Exercises 3358, use the graphing strategy outlined in this secti...
 4.6.37: In Exercises 3358, use the graphing strategy outlined in this secti...
 4.6.38: In Exercises 3358, use the graphing strategy outlined in this secti...
 4.6.39: In Exercises 3358, use the graphing strategy outlined in this secti...
 4.6.40: In Exercises 3358, use the graphing strategy outlined in this secti...
 4.6.41: In Exercises 3358, use the graphing strategy outlined in this secti...
 4.6.42: In Exercises 3358, use the graphing strategy outlined in this secti...
 4.6.43: In Exercises 3358, use the graphing strategy outlined in this secti...
 4.6.44: In Exercises 3358, use the graphing strategy outlined in this secti...
 4.6.45: In Exercises 3358, use the graphing strategy outlined in this secti...
 4.6.46: In Exercises 3358, use the graphing strategy outlined in this secti...
 4.6.47: In Exercises 3358, use the graphing strategy outlined in this secti...
 4.6.48: In Exercises 3358, use the graphing strategy outlined in this secti...
 4.6.49: In Exercises 3358, use the graphing strategy outlined in this secti...
 4.6.50: In Exercises 3358, use the graphing strategy outlined in this secti...
 4.6.51: In Exercises 3358, use the graphing strategy outlined in this secti...
 4.6.52: In Exercises 3358, use the graphing strategy outlined in this secti...
 4.6.53: In Exercises 3358, use the graphing strategy outlined in this secti...
 4.6.54: In Exercises 3358, use the graphing strategy outlined in this secti...
 4.6.55: In Exercises 3358, use the graphing strategy outlined in this secti...
 4.6.56: In Exercises 3358, use the graphing strategy outlined in this secti...
 4.6.57: In Exercises 3358, use the graphing strategy outlined in this secti...
 4.6.58: In Exercises 3358, use the graphing strategy outlined in this secti...
 4.6.59: In Exercises 5962, for each graph of the rational function given de...
 4.6.60: In Exercises 5962, for each graph of the rational function given de...
 4.6.61: In Exercises 5962, for each graph of the rational function given de...
 4.6.62: In Exercises 5962, for each graph of the rational function given de...
 4.6.63: The concentration C of a particular drug in a persons bloodstream t...
 4.6.64: The concentration C of aspirin in the bloodstream t hours after con...
 4.6.65: An administrative assistant is hired after graduating from high sch...
 4.6.66: A professor teaching a large lecture course tries to learn students...
 4.6.67: The amount of food that cats typically eat increases as their weigh...
 4.6.68: The Guinness Book of World Records, 2004 states that Dominic OBrien...
 4.6.69: The Guinness Book of World Records, 2004 states that Dominic OBrien...
 4.6.70: A rectangular picture has an area of 414 square inches. A border (m...
 4.6.71: Find the number of units that must be sold to produce an average pr...
 4.6.72: Find the number of units that must be sold to produce an average pr...
 4.6.73: Find the concentration of the drug, to the nearest tenth of g/mL, i...
 4.6.74: Find the time, after the first hour and a half, at which the concen...
 4.6.75: Determine the vertical asymptotes of the function Solution: Set the...
 4.6.76: Determine the vertical asymptotes of Solution: Set the denominator ...
 4.6.77: Determine whether a horizontal or a slant asymptote exists for the ...
 4.6.78: Determine whether a horizontal or a slant asymptote exists for the ...
 4.6.79: A rational function can have either a horizontal asymptote or a sla...
 4.6.80: A rational function can have at most one vertical asymptote
 4.6.81: A rational function can cross a vertical asymptote
 4.6.82: A rational function can cross a horizontal or a slant asymptote.
 4.6.83: Determine the asymptotes of the rational function
 4.6.84: Determine the asymptotes of the rational function f(x) = .
 4.6.85: Write a rational function that has vertical asymptotes at x 3 and x...
 4.6.86: Write a rational function that has no vertical asymptotes, approach...
 4.6.87: Determine the vertical asymptotes of Graph this function utilizing ...
 4.6.88: Determine the vertical asymptotes of Graph this function utilizing ...
 4.6.89: Find the asymptotes and intercepts of the rational function Note: C...
 4.6.90: Find the asymptotes and intercepts of the rational function Note: C...
 4.6.91: For Exercises 91 and 92: (a) Identify all asymptotes for each funct...
 4.6.92: For Exercises 91 and 92: (a) Identify all asymptotes for each funct...
Solutions for Chapter 4.6: Rational Functions
Full solutions for Algebra and Trigonometry,  3rd Edition
ISBN: 9780840068132
Solutions for Chapter 4.6: Rational Functions
Get Full SolutionsAlgebra and Trigonometry, was written by and is associated to the ISBN: 9780840068132. This textbook survival guide was created for the textbook: Algebra and Trigonometry,, edition: 3. This expansive textbook survival guide covers the following chapters and their solutions. Since 92 problems in chapter 4.6: Rational Functions have been answered, more than 45767 students have viewed full stepbystep solutions from this chapter. Chapter 4.6: Rational Functions includes 92 full stepbystep solutions.

Argument of a complex number
The argument of a + bi is the direction angle of the vector {a,b}.

Component form of a vector
If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x, y, and zcomponents of the vector, respectively)

Conditional probability
The probability of an event A given that an event B has already occurred

Cubic
A degree 3 polynomial function

Graph of a polar equation
The set of all points in the polar coordinate system corresponding to the ordered pairs (r,?) that are solutions of the polar equation.

Inverse relation (of the relation R)
A relation that consists of all ordered pairs b, a for which a, b belongs to R.

Inverse tangent function
The function y = tan1 x

Lemniscate
A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

Newton’s law of cooling
T1t2 = Tm + 1T0  Tm2ekt

Polynomial interpolation
The process of fitting a polynomial of degree n to (n + 1) points.

Product of complex numbers
(a + bi)(c + di) = (ac  bd) + (ad + bc)i

Second
Angle measure equal to 1/60 of a minute.

Semiminor axis
The distance from the center of an ellipse to a point on the ellipse along a line perpendicular to the major axis.

Spiral of Archimedes
The graph of the polar curve.

Supply curve
p = ƒ(x), where x represents production and p represents price

Synthetic division
A procedure used to divide a polynomial by a linear factor, x  a

Translation
See Horizontal translation, Vertical translation.

Unit circle
A circle with radius 1 centered at the origin.

Weights
See Weighted mean.

Xscl
The scale of the tick marks on the xaxis in a viewing window.