 2.1: In Exercises 1 and 2, graph each function. Compare the graph of eac...
 2.2: In Exercises 1 and 2, graph each function. Compare the graph of eac...
 2.3: In Exercises 314, write the quadratic function in standard form and...
 2.4: In Exercises 314, write the quadratic function in standard form and...
 2.5: In Exercises 314, write the quadratic function in standard form and...
 2.6: In Exercises 314, write the quadratic function in standard form and...
 2.7: In Exercises 314, write the quadratic function in standard form and...
 2.8: In Exercises 314, write the quadratic function in standard form and...
 2.9: In Exercises 314, write the quadratic function in standard form and...
 2.10: In Exercises 314, write the quadratic function in standard form and...
 2.11: In Exercises 314, write the quadratic function in standard form and...
 2.12: In Exercises 314, write the quadratic function in standard form and...
 2.13: In Exercises 314, write the quadratic function in standard form and...
 2.14: In Exercises 314, write the quadratic function in standard form and...
 2.15: In Exercises 1518, write the standard form of the equation of the p...
 2.16: In Exercises 1518, write the standard form of the equation of the p...
 2.17: In Exercises 1518, write the standard form of the equation of the p...
 2.18: In Exercises 1518, write the standard form of the equation of the p...
 2.19: Geometry The perimeter of a rectangle is 200 meters. (a) Draw a dia...
 2.20: Maximum Revenue The total revenue earned (in dollars) from producin...
 2.21: Minimum Cost A softdrink manufacturer has daily production costs o...
 2.22: Sociology The average age of the groom at a first marriage for a gi...
 2.23: In Exercises 2328, sketch the graphs of and the transformation.
 2.24: In Exercises 2328, sketch the graphs of and the transformation.
 2.25: In Exercises 2328, sketch the graphs of and the transformation.
 2.26: In Exercises 2328, sketch the graphs of and the transformation.
 2.27: In Exercises 2328, sketch the graphs of and the transformation.
 2.28: In Exercises 2328, sketch the graphs of and the transformation. f _...
 2.29: In Exercises 2932, describe the righthand and lefthand behavior o...
 2.30: In Exercises 2932, describe the righthand and lefthand behavior o...
 2.31: In Exercises 2932, describe the righthand and lefthand behavior o...
 2.32: In Exercises 2932, describe the righthand and lefthand behavior o...
 2.33: In Exercises 3338, find all the real zeros of the polynomial functi...
 2.34: In Exercises 3338, find all the real zeros of the polynomial functi...
 2.35: In Exercises 3338, find all the real zeros of the polynomial functi...
 2.36: In Exercises 3338, find all the real zeros of the polynomial functi...
 2.37: In Exercises 3338, find all the real zeros of the polynomial functi...
 2.38: In Exercises 3338, find all the real zeros of the polynomial functi...
 2.39: In Exercises 3942, sketch the graph of the function by (a) applying...
 2.40: In Exercises 3942, sketch the graph of the function by (a) applying...
 2.41: In Exercises 3942, sketch the graph of the function by (a) applying...
 2.42: In Exercises 3942, sketch the graph of the function by (a) applying...
 2.43: In Exercises 4346, (a) use the Intermediate Value Theorem and the t...
 2.44: In Exercises 4346, (a) use the Intermediate Value Theorem and the t...
 2.45: In Exercises 4346, (a) use the Intermediate Value Theorem and the t...
 2.46: In Exercises 4346, (a) use the Intermediate Value Theorem and the t...
 2.47: In Exercises 4752, use long division to divide.
 2.48: In Exercises 4752, use long division to divide.
 2.49: In Exercises 4752, use long division to divide.
 2.50: In Exercises 4752, use long division to divide.
 2.51: In Exercises 4752, use long division to divide.
 2.52: In Exercises 4752, use long division to divide.
 2.53: In Exercises 5356, use synthetic division to divide.
 2.54: In Exercises 5356, use synthetic division to divide.
 2.55: In Exercises 5356, use synthetic division to divide.
 2.56: In Exercises 5356, use synthetic division to divide.
 2.57: In Exercises 57 and 58, use synthetic division to determine whether...
 2.58: In Exercises 57 and 58, use synthetic division to determine whether...
 2.59: In Exercises 59 and 60, use synthetic division to find each functio...
 2.60: In Exercises 59 and 60, use synthetic division to find each functio...
 2.61: In Exercises 6164, (a) verify the given factor(s) of the function (...
 2.62: In Exercises 6164, (a) verify the given factor(s) of the function (...
 2.63: In Exercises 6164, (a) verify the given factor(s) of the function (...
 2.64: In Exercises 6164, (a) verify the given factor(s) of the function (...
 2.65: In Exercises 6568, write the complex number in standard form.
 2.66: In Exercises 6568, write the complex number in standard form.
 2.67: In Exercises 6568, write the complex number in standard form.
 2.68: In Exercises 6568, write the complex number in standard form.
 2.69: In Exercises 6974, perform the operation and write the result in st...
 2.70: In Exercises 6974, perform the operation and write the result in st...
 2.71: In Exercises 6974, perform the operation and write the result in st...
 2.72: In Exercises 6974, perform the operation and write the result in st...
 2.73: In Exercises 6974, perform the operation and write the result in st...
 2.74: In Exercises 6974, perform the operation and write the result in st...
 2.75: In Exercises 75 and 76, write the quotient in standard form.
 2.76: In Exercises 75 and 76, write the quotient in standard form.
 2.77: In Exercises 77 and 78, perform the operation and write the result ...
 2.78: In Exercises 77 and 78, perform the operation and write the result ...
 2.79: In Exercises 7982, find all solutions of the equation.
 2.80: In Exercises 7982, find all solutions of the equation.
 2.81: In Exercises 7982, find all solutions of the equation.
 2.82: In Exercises 7982, find all solutions of the equation.
 2.83: In Exercises 8388, find all the zeros of the function.
 2.84: In Exercises 8388, find all the zeros of the function.
 2.85: In Exercises 8388, find all the zeros of the function.
 2.86: In Exercises 8388, find all the zeros of the function.
 2.87: In Exercises 8388, find all the zeros of the function.
 2.88: In Exercises 8388, find all the zeros of the function.
 2.89: In Exercises 89 and 90, use the Rational Zero Test to list all poss...
 2.90: In Exercises 89 and 90, use the Rational Zero Test to list all poss...
 2.91: In Exercises 9196, find all the rational zeros of the function.
 2.92: In Exercises 9196, find all the rational zeros of the function.
 2.93: In Exercises 9196, find all the rational zeros of the function.
 2.94: In Exercises 9196, find all the rational zeros of the function.
 2.95: In Exercises 9196, find all the rational zeros of the function.
 2.96: In Exercises 9196, find all the rational zeros of the function.
 2.97: In Exercises 97 and 98, find a polynomial function with real coeffi...
 2.98: In Exercises 97 and 98, find a polynomial function with real coeffi...
 2.99: In Exercises 99102, use the given zero to find all the zeros of the...
 2.100: In Exercises 99102, use the given zero to find all the zeros of the...
 2.101: In Exercises 99102, use the given zero to find all the zeros of the...
 2.102: In Exercises 99102, use the given zero to find all the zeros of the...
 2.103: In Exercises 103106, find all the zeros of the function and write t...
 2.104: In Exercises 103106, find all the zeros of the function and write t...
 2.105: In Exercises 103106, find all the zeros of the function and write t...
 2.106: In Exercises 103106, find all the zeros of the function and write t...
 2.107: In Exercises 107 and 108, use Descartess Rule of Signs to determine...
 2.108: In Exercises 107 and 108, use Descartess Rule of Signs to determine...
 2.109: In Exercises 109 and 110, use synthetic division to verify the uppe...
 2.110: In Exercises 109 and 110, use synthetic division to verify the uppe...
 2.111: In Exercises 111114, find the domain of the rational function.
 2.112: In Exercises 111114, find the domain of the rational function.
 2.113: In Exercises 111114, find the domain of the rational function.
 2.114: In Exercises 111114, find the domain of the rational function.
 2.115: In Exercises 115118, identify any horizontal or vertical asymptotes.
 2.116: In Exercises 115118, identify any horizontal or vertical asymptotes.
 2.117: In Exercises 115118, identify any horizontal or vertical asymptotes.
 2.118: In Exercises 115118, identify any horizontal or vertical asymptotes.
 2.119: In Exercises 119130, (a) state the domain of the function, (b) iden...
 2.120: In Exercises 119130, (a) state the domain of the function, (b) iden...
 2.121: In Exercises 119130, (a) state the domain of the function, (b) iden...
 2.122: In Exercises 119130, (a) state the domain of the function, (b) iden...
 2.123: In Exercises 119130, (a) state the domain of the function, (b) iden...
 2.124: In Exercises 119130, (a) state the domain of the function, (b) iden...
 2.125: In Exercises 119130, (a) state the domain of the function, (b) iden...
 2.126: In Exercises 119130, (a) state the domain of the function, (b) iden...
 2.127: In Exercises 119130, (a) state the domain of the function, (b) iden...
 2.128: In Exercises 119130, (a) state the domain of the function, (b) iden...
 2.129: In Exercises 119130, (a) state the domain of the function, (b) iden...
 2.130: In Exercises 119130, (a) state the domain of the function, (b) iden...
 2.131: In Exercises 131134, (a) state the domain of the function, (b) iden...
 2.132: In Exercises 131134, (a) state the domain of the function, (b) iden...
 2.133: In Exercises 131134, (a) state the domain of the function, (b) iden...
 2.134: In Exercises 131134, (a) state the domain of the function, (b) iden...
 2.135: Average Cost A business has a production cost of for producing unit...
 2.136: Seizure of Illegal Drugs The cost (in millions of dollars) for the ...
 2.137: Page Design A page that is inches wide and inches high contains 30 ...
 2.138: Photosynthesis The amount of uptake (in milligrams per square decim...
 2.139: In Exercises 139146, solve the inequality.
 2.140: In Exercises 139146, solve the inequality.
 2.141: In Exercises 139146, solve the inequality.
 2.142: In Exercises 139146, solve the inequality.
 2.143: In Exercises 139146, solve the inequality.
 2.144: In Exercises 139146, solve the inequality.
 2.145: In Exercises 139146, solve the inequality.
 2.146: In Exercises 139146, solve the inequality.
 2.147: Investment dollars invested at interest rate compounded annually in...
 2.148: Population of a Species A biologist introduces 200 ladybugs into a ...
 2.149: A fourthdegree polynomial with real coefficients can have and 5 as...
 2.150: The domain of a rational function can never be the set of all real ...
 2.151: Writing Explain how to determine the maximum or minimum value of a ...
 2.152: Writing Explain the connections among factors of a polynomial, zero...
 2.153: Writing Describe what is meant by an asymptote of a graph.
Solutions for Chapter 2: Polynomial and Rational Functions
Full solutions for Precalculus  7th Edition
ISBN: 9780618643448
Solutions for Chapter 2: Polynomial and Rational Functions
Get Full SolutionsThis textbook survival guide was created for the textbook: Precalculus, edition: 7. Since 153 problems in chapter 2: Polynomial and Rational Functions have been answered, more than 31454 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 2: Polynomial and Rational Functions includes 153 full stepbystep solutions. Precalculus was written by and is associated to the ISBN: 9780618643448.

Aphelion
The farthest point from the Sun in a planet’s orbit

Arithmetic sequence
A sequence {an} in which an = an1 + d for every integer n ? 2 . The number d is the common difference.

Bar chart
A rectangular graphical display of categorical data.

Complements or complementary angles
Two angles of positive measure whose sum is 90°

Dependent variable
Variable representing the range value of a function (usually y)

Distance (on a number line)
The distance between real numbers a and b, or a  b

Graph of parametric equations
The set of all points in the coordinate plane corresponding to the ordered pairs determined by the parametric equations.

Horizontal Line Test
A test for determining whether the inverse of a relation is a function.

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

Law of cosines
a2 = b2 + c2  2bc cos A, b2 = a2 + c2  2ac cos B, c2 = a2 + b2  2ab cos C

Linear factorization theorem
A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1  z1) 1x  i z 22 Á 1x  z n where the z1 are the zeros of ƒ

Local maximum
A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

nth root of unity
A complex number v such that vn = 1

Objective function
See Linear programming problem.

Parametrization
A set of parametric equations for a curve.

PH
The measure of acidity

Quantitative variable
A variable (in statistics) that takes on numerical values for a characteristic being measured.

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

Variable
A letter that represents an unspecified number.

Window dimensions
The restrictions on x and y that specify a viewing window. See Viewing window.