 4.1: In 14, determine whether the function is a polynomial function, rat...
 4.2: In 14, determine whether the function is a polynomial function, rat...
 4.3: In 14, determine whether the function is a polynomial function, rat...
 4.4: In 14, determine whether the function is a polynomial function, rat...
 4.5: In 510, graph each function using transformations (shifting, compre...
 4.6: In 510, graph each function using transformations (shifting, compre...
 4.7: In 510, graph each function using transformations (shifting, compre...
 4.8: In 510, graph each function using transformations (shifting, compre...
 4.9: In 510, graph each function using transformations (shifting, compre...
 4.10: In 510, graph each function using transformations (shifting, compre...
 4.11: In 1118, analyze each polynomial function by following Steps 1 thro...
 4.12: In 1118, analyze each polynomial function by following Steps 1 thro...
 4.13: In 1118, analyze each polynomial function by following Steps 1 thro...
 4.14: In 1118, analyze each polynomial function by following Steps 1 thro...
 4.15: In 1118, analyze each polynomial function by following Steps 1 thro...
 4.16: In 1118, analyze each polynomial function by following Steps 1 thro...
 4.17: In 1118, analyze each polynomial function by following Steps 1 thro...
 4.18: In 1118, analyze each polynomial function by following Steps 1 thro...
 4.19: In 1922, find the domain of each rational function. Find any horizo...
 4.20: In 1922, find the domain of each rational function. Find any horizo...
 4.21: In 1922, find the domain of each rational function. Find any horizo...
 4.22: In 1922, find the domain of each rational function. Find any horizo...
 4.23: In 2334, discuss each rational function following the eight steps g...
 4.24: In 2334, discuss each rational function following the eight steps g...
 4.25: In 2334, discuss each rational function following the eight steps g...
 4.26: In 2334, discuss each rational function following the eight steps g...
 4.27: In 2334, discuss each rational function following the eight steps g...
 4.28: In 2334, discuss each rational function following the eight steps g...
 4.29: In 2334, discuss each rational function following the eight steps g...
 4.30: In 2334, discuss each rational function following the eight steps g...
 4.31: In 2334, discuss each rational function following the eight steps g...
 4.32: In 2334, discuss each rational function following the eight steps g...
 4.33: In 2334, discuss each rational function following the eight steps g...
 4.34: In 2334, discuss each rational function following the eight steps g...
 4.35: In 3544, solve each inequality. Graph the solution set.
 4.36: In 3544, solve each inequality. Graph the solution set.
 4.37: In 3544, solve each inequality. Graph the solution set.
 4.38: In 3544, solve each inequality. Graph the solution set.
 4.39: In 3544, solve each inequality. Graph the solution set.
 4.40: In 3544, solve each inequality. Graph the solution set.
 4.41: In 3544, solve each inequality. Graph the solution set.
 4.42: In 3544, solve each inequality. Graph the solution set.
 4.43: In 3544, solve each inequality. Graph the solution set.
 4.44: In 3544, solve each inequality. Graph the solution set.
 4.45: In 4548, find the remainder R when is divided by . Is g a factor of...
 4.46: In 4548, find the remainder R when is divided by . Is g a factor of...
 4.47: In 4548, find the remainder R when is divided by . Is g a factor of...
 4.48: In 4548, find the remainder R when is divided by . Is g a factor of...
 4.49: Find the value of at . f1x2 = 12x x = 4
 4.50: Find the value of at .
 4.51: List all the potential rational zeros of . f1x2 = 12x8  x7 + 6x4 ...
 4.52: List all the potential rational zeros of .
 4.53: In 5358, use the Rational Zeros Theorem to find all the real zeros ...
 4.54: In 5358, use the Rational Zeros Theorem to find all the real zeros ...
 4.55: In 5358, use the Rational Zeros Theorem to find all the real zeros ...
 4.56: In 5358, use the Rational Zeros Theorem to find all the real zeros ...
 4.57: In 5358, use the Rational Zeros Theorem to find all the real zeros ...
 4.58: In 5358, use the Rational Zeros Theorem to find all the real zeros ...
 4.59: In 5962, solve each equation in the real number system
 4.60: In 5962, solve each equation in the real number system
 4.61: In 5962, solve each equation in the real number system
 4.62: In 5962, solve each equation in the real number system
 4.63: In 6366, find bounds to the real zeros of each polynomial function
 4.64: In 6366, find bounds to the real zeros of each polynomial function
 4.65: In 6366, find bounds to the real zeros of each polynomial function
 4.66: In 6366, find bounds to the real zeros of each polynomial function
 4.67: In 6770, use the Intermediate Value Theorem to show that each polyn...
 4.68: In 6770, use the Intermediate Value Theorem to show that each polyn...
 4.69: In 6770, use the Intermediate Value Theorem to show that each polyn...
 4.70: In 6770, use the Intermediate Value Theorem to show that each polyn...
 4.71: In 7174, each polynomial function has exactly one positive zero. Ap...
 4.72: In 7174, each polynomial function has exactly one positive zero. Ap...
 4.73: In 7174, each polynomial function has exactly one positive zero. Ap...
 4.74: In 7174, each polynomial function has exactly one positive zero. Ap...
 4.75: In 7578, information is given about a complex polynomial whose coef...
 4.76: In 7578, information is given about a complex polynomial whose coef...
 4.77: In 7578, information is given about a complex polynomial whose coef...
 4.78: In 7578, information is given about a complex polynomial whose coef...
 4.79: In 7986, find the complex zeros of each polynomial function . Write...
 4.80: In 7986, find the complex zeros of each polynomial function . Write...
 4.81: In 7986, find the complex zeros of each polynomial function . Write...
 4.82: In 7986, find the complex zeros of each polynomial function . Write...
 4.83: In 7986, find the complex zeros of each polynomial function . Write...
 4.84: In 7986, find the complex zeros of each polynomial function . Write...
 4.85: In 7986, find the complex zeros of each polynomial function . Write...
 4.86: In 7986, find the complex zeros of each polynomial function . Write...
 4.87: A can in the shape of a right circular cylinder is required to have...
 4.88: The following data represent the percentage of families in the Unit...
 4.89: Design a polynomial function with the following characteristics: de...
 4.90: Design a rational function with the following characteristics: thre...
 4.91: The illustration shows the graph of a polynomial function. (a) Is t...
Solutions for Chapter 4: Precalculus 9th Edition
Full solutions for Precalculus  9th Edition
ISBN: 9780321716835
Solutions for Chapter 4
Get Full SolutionsThis textbook survival guide was created for the textbook: Precalculus, edition: 9. Since 91 problems in chapter 4 have been answered, more than 10760 students have viewed full stepbystep solutions from this chapter. Chapter 4 includes 91 full stepbystep solutions. Precalculus was written by and is associated to the ISBN: 9780321716835. This expansive textbook survival guide covers the following chapters and their solutions.

Absolute value of a real number
Denoted by a, represents the number a or the positive number a if a < 0.

Binomial
A polynomial with exactly two terms

Bounded
A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

Coterminal angles
Two angles having the same initial side and the same terminal side

Deductive reasoning
The process of utilizing general information to prove a specific hypothesis

Elimination method
A method of solving a system of linear equations

Fitting a line or curve to data
Finding a line or curve that comes close to passing through all the points in a scatter plot.

Length of an arrow
See Magnitude of an arrow.

Limit at infinity
limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x: q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

Numerical derivative of ƒ at a
NDER f(a) = ƒ1a + 0.0012  ƒ1a  0.00120.002

Piecewisedefined function
A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

Product of functions
(ƒg)(x) = ƒ(x)g(x)

Quartic function
A degree 4 polynomial function.

Richter scale
A logarithmic scale used in measuring the intensity of an earthquake.

Sphere
A set of points in Cartesian space equally distant from a fixed point called the center.

Sum of complex numbers
(a + bi) + (c + di) = (a + c) + (b + d)i

Summation notation
The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series

Unbounded interval
An interval that extends to ? or ? (or both).

Vertex of an angle
See Angle.

xyplane
The points x, y, 0 in Cartesian space.