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# Solutions for Chapter 11.3: Continuous Functions

## Full solutions for Introduction to Real Analysis | 3rd Edition

ISBN: 9780471321484

Solutions for Chapter 11.3: Continuous Functions

Solutions for Chapter 11.3
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##### ISBN: 9780471321484

Since 10 problems in chapter 11.3: Continuous Functions have been answered, more than 6282 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Introduction to Real Analysis, edition: 3. Introduction to Real Analysis was written by and is associated to the ISBN: 9780471321484. Chapter 11.3: Continuous Functions includes 10 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Boundary

The set of points on the “edge” of a region

• Differentiable at x = a

ƒ'(a) exists

• Elements of a matrix

See Matrix element.

• Ellipsoid of revolution

A surface generated by rotating an ellipse about its major axis

• Equal complex numbers

Complex numbers whose real parts are equal and whose imaginary parts are equal.

• Exponential function

A function of the form ƒ(x) = a ? bx,where ?0, b > 0 b ?1

• Higher-degree polynomial function

A polynomial function whose degree is ? 3

• Imaginary unit

The complex number.

• Irrational zeros

Zeros of a function that are irrational numbers.

• Main diagonal

The diagonal from the top left to the bottom right of a square matrix

• Mode of a data set

The category or number that occurs most frequently in the set.

• Order of an m x n matrix

The order of an m x n matrix is m x n.

• Parametric equations

Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

• Probability of an event in a finite sample space of equally likely outcomes

The number of outcomes in the event divided by the number of outcomes in the sample space.

The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).

• Reference angle

See Reference triangle

• Resistant measure

A statistical measure that does not change much in response to outliers.

• Slant asymptote

An end behavior asymptote that is a slant line

A graph in which (x, -y) is on the graph whenever (x, y) is; or a graph in which (r, -?) or (-r, ?, -?) is on the graph whenever (r, ?) is

• Unit circle

A circle with radius 1 centered at the origin.

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