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# Solutions for Chapter 2-3: PIECEWISE-DEFINED FUNCTIONS

## Full solutions for Functions Modeling Change: A Preparation for Calculus | 4th Edition

ISBN: 9780470484753

Solutions for Chapter 2-3: PIECEWISE-DEFINED FUNCTIONS

Solutions for Chapter 2-3
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##### ISBN: 9780470484753

This expansive textbook survival guide covers the following chapters and their solutions. Functions Modeling Change: A Preparation for Calculus was written by and is associated to the ISBN: 9780470484753. This textbook survival guide was created for the textbook: Functions Modeling Change: A Preparation for Calculus , edition: 4. Since 25 problems in chapter 2-3: PIECEWISE-DEFINED FUNCTIONS have been answered, more than 26227 students have viewed full step-by-step solutions from this chapter. Chapter 2-3: PIECEWISE-DEFINED FUNCTIONS includes 25 full step-by-step solutions.

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

The opposite of b , or -b

• Bias

A flaw in the design of a sampling process that systematically causes the sample to differ from the population with respect to the statistic being measured. Undercoverage bias results when the sample systematically excludes one or more segments of the population. Voluntary response bias results when a sample consists only of those who volunteer their responses. Response bias results when the sampling design intentionally or unintentionally influences the responses

• 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.

• Conic section (or conic)

A curve obtained by intersecting a double-napped right circular cone with a plane

• Degree

Unit of measurement (represented by the symbol ) for angles or arcs, equal to 1/360 of a complete revolution

• Dihedral angle

An angle formed by two intersecting planes,

• Frequency (in statistics)

The number of individuals or observations with a certain characteristic.

• Gaussian elimination

A method of solving a system of n linear equations in n unknowns.

• Graph of a function ƒ

The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.

• Histogram

A graph that visually represents the information in a frequency table using rectangular areas proportional to the frequencies.

• Horizontal translation

A shift of a graph to the left or right.

• Law of cosines

a2 = b2 + c2 - 2bc cos A, b2 = a2 + c2 - 2ac cos B, c2 = a2 + b2 - 2ab cos C

• Objective function

See Linear programming problem.

• Order of magnitude (of n)

log n.

• Power rule of logarithms

logb Rc = c logb R, R 7 0.

• Product of matrices A and B

The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding

• Scatter plot

A plot of all the ordered pairs of a two-variable data set on a coordinate plane.

• Spiral of Archimedes

The graph of the polar curve.

• Standard form of a polynomial function

ƒ(x) = an x n + an-1x n-1 + Á + a1x + a0

• Weighted mean

A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.

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