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# Solutions for Chapter 1-1: FUNCTIONS AND FUNCTION NOTATION ## Full solutions for Functions Modeling Change: A Preparation for Calculus | 4th Edition

ISBN: 9780470484753 Solutions for Chapter 1-1: FUNCTIONS AND FUNCTION NOTATION

Solutions for Chapter 1-1
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##### ISBN: 9780470484753

Functions Modeling Change: A Preparation for Calculus was written by and is associated to the ISBN: 9780470484753. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Functions Modeling Change: A Preparation for Calculus , edition: 4. Since 38 problems in chapter 1-1: FUNCTIONS AND FUNCTION NOTATION have been answered, more than 18668 students have viewed full step-by-step solutions from this chapter. Chapter 1-1: FUNCTIONS AND FUNCTION NOTATION includes 38 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Angle of depression

The acute angle formed by the line of sight (downward) and the horizontal

• Arccotangent function

See Inverse cotangent function.

• Complex plane

A coordinate plane used to represent the complex numbers. The x-axis of the complex plane is called the real axis and the y-axis is the imaginary axis

• Compounded k times per year

Interest compounded using the formula A = Pa1 + rkbkt where k = 1 is compounded annually, k = 4 is compounded quarterly k = 12 is compounded monthly, etc.

• Confounding variable

A third variable that affects either of two variables being studied, making inferences about causation unreliable

• Eccentricity

A nonnegative number that specifies how off-center the focus of a conic is

• Elementary row operations

The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

• Exponential form

An equation written with exponents instead of logarithms.

• Fibonacci sequence

The sequence 1, 1, 2, 3, 5, 8, 13, . . ..

• Imaginary unit

The complex number.

• Interval notation

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

• Inverse secant function

The function y = sec-1 x

• Line graph

A graph of data in which consecutive data points are connected by line segments

• 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

• Linear system

A system of linear equations

• Projectile motion

The movement of an object that is subject only to the force of gravity

• Random variable

A function that assigns real-number values to the outcomes in a sample space.

• Range screen

See Viewing window.

• Scalar

A real number.

• Third quartile

See Quartile.

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