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Solutions for Chapter 1.1: Real Numbers, Functions, and Graphs Full solutions for Calculus: Early Transcendentals | 3rd Edition

ISBN: 9781464114885 Solutions for Chapter 1.1: Real Numbers, Functions, and Graphs

Solutions for Chapter 1.1
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ISBN: 9781464114885

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 3. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendentals was written by Patricia and is associated to the ISBN: 9781464114885. Chapter 1.1: Real Numbers, Functions, and Graphs includes 86 full step-by-step solutions. Since 86 problems in chapter 1.1: Real Numbers, Functions, and Graphs have been answered, more than 17170 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Additive inverse of a complex number

The opposite of a + bi, or -a - bi

• Augmented matrix

A matrix that represents a system of equations.

• Basic logistic function

The function ƒ(x) = 1 / 1 + e-x

• Bounded below

A function is bounded below if there is a number b such that b ? ƒ(x) for all x in the domain of f.

• Continuous function

A function that is continuous on its entire domain

• General form (of a line)

Ax + By + C = 0, where A and B are not both zero.

• Grapher or graphing utility

Graphing calculator or a computer with graphing software.

• Infinite limit

A special case of a limit that does not exist.

• Interval notation

Notation used to specify intervals, pp. 4, 5.

• Irreducible quadratic over the reals

A quadratic polynomial with real coefficients that cannot be factored using real coefficients.

• Linear function

A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

• Multiplicity

The multiplicity of a zero c of a polynomial ƒ(x) of degree n > 0 is the number of times the factor (x - c) (x - z 2) Á (x - z n)

• NDER ƒ(a)

See Numerical derivative of ƒ at x = a.

• Principal nth root

If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.

• Quotient polynomial

See Division algorithm for polynomials.

• Reciprocal identity

An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.

• Reciprocal of a real number

See Multiplicative inverse of a real number.

• Vertex of a cone

See Right circular cone.

• Weights

See Weighted mean.

• y-coordinate

The directed distance from the x-axis xz-plane to a point in a plane (space), or the second number in an ordered pair (triple), pp. 12, 629.

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