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# Solutions for Chapter 1-5: GEOMETRIC PROPERTIES OF LINEAR FUNCTIONS ## Full solutions for Functions Modeling Change: A Preparation for Calculus | 4th Edition

ISBN: 9780470484753 Solutions for Chapter 1-5: GEOMETRIC PROPERTIES OF LINEAR FUNCTIONS

Solutions for Chapter 1-5
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##### ISBN: 9780470484753

Since 32 problems in chapter 1-5: GEOMETRIC PROPERTIES OF LINEAR FUNCTIONS have been answered, more than 56158 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Functions Modeling Change: A Preparation for Calculus , edition: 4. 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. Chapter 1-5: GEOMETRIC PROPERTIES OF LINEAR FUNCTIONS includes 32 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Bounded interval

An interval that has finite length (does not extend to ? or -?)

• Central angle

An angle whose vertex is the center of a circle

• Common ratio

See Geometric sequence.

• 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

• 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.

• Half-angle identity

Identity involving a trigonometric function of u/2.

• Heron’s formula

The area of ¢ABC with semiperimeter s is given by 2s1s - a21s - b21s - c2.

• Implicitly defined function

A function that is a subset of a relation defined by an equation in x and y.

• Inverse composition rule

The composition of a one-toone function with its inverse results in the identity function.

• Linear regression line

The line for which the sum of the squares of the residuals is the smallest possible

• Multiplication principle of counting

A principle used to find the number of ways an event can occur.

• Objective function

See Linear programming problem.

• Parallelogram representation of vector addition

Geometric representation of vector addition using the parallelogram determined by the position vectors.

• Plane in Cartesian space

The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

• Power-reducing identity

A trigonometric identity that reduces the power to which the trigonometric functions are raised.

• Reflection across the x-axis

x, y and (x,-y) are reflections of each other across the x-axis.

• Triangular form

A special form for a system of linear equations that facilitates finding the solution.

• Upper bound for ƒ

Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

• Vector

An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

• x-intercept

A point that lies on both the graph and the x-axis,.