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Solutions for Chapter 2: FUNCTIONS

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

ISBN: 9780470484753

Solutions for Chapter 2: FUNCTIONS

Solutions for Chapter 2
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ISBN: 9780470484753

This textbook survival guide was created for the textbook: Functions Modeling Change: A Preparation for Calculus , edition: 4. Since 71 problems in chapter 2: FUNCTIONS have been answered, more than 25435 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 2: FUNCTIONS includes 71 full step-by-step solutions. Functions Modeling Change: A Preparation for Calculus was written by and is associated to the ISBN: 9780470484753.

Key Calculus Terms and definitions covered in this textbook
• Arccosine function

See Inverse cosine function.

• Center

The central point in a circle, ellipse, hyperbola, or sphere

• Continuous function

A function that is continuous on its entire domain

• Division algorithm for polynomials

Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

• Endpoint of an interval

A real number that represents one “end” of an interval.

• equation of a quadratic function

ƒ(x) = ax 2 + bx + c(a ? 0)

• Geometric sequence

A sequence {an}in which an = an-1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

• Horizontal component

See Component form of a vector.

• Horizontal translation

A shift of a graph to the left or right.

• Identity matrix

A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

• Logarithmic function with base b

The inverse of the exponential function y = bx, denoted by y = logb x

• Magnitude of a vector

The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

• nth power of a

The number with n factors of a , where n is the exponent and a is the base.

• Numerical model

A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

• Octants

The eight regions of space determined by the coordinate planes.

• Power function

A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

• Product of complex numbers

(a + bi)(c + di) = (ac - bd) + (ad + bc)i

• Root of an equation

A solution.

• Sum of a finite arithmetic series

Sn = na a1 + a2 2 b = n 2 32a1 + 1n - 12d4,

• x-coordinate

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

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