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# Solutions for Chapter 1.4: Functions ## Full solutions for Precalculus with Limits | 3rd Edition

ISBN: 9781133947202 Solutions for Chapter 1.4: Functions

Solutions for Chapter 1.4
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##### ISBN: 9781133947202

Since 98 problems in chapter 1.4: Functions have been answered, more than 36124 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: Precalculus with Limits, edition: 3. Chapter 1.4: Functions includes 98 full step-by-step solutions. Precalculus with Limits was written by and is associated to the ISBN: 9781133947202.

Key Calculus Terms and definitions covered in this textbook
• Annual percentage rate (APR)

The annual interest rate

• Deductive reasoning

The process of utilizing general information to prove a specific hypothesis

• Ellipsoid of revolution

A surface generated by rotating an ellipse about its major axis

• Endpoint of an interval

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

• Gaussian curve

See Normal curve.

• Integrable over [a, b] Lba

ƒ1x2 dx exists.

• Invertible linear system

A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

• Odd function

A function whose graph is symmetric about the origin (ƒ(-x) = -ƒ(x) for all x in the domain of f).

• Placebo

In an experimental study, an inactive treatment that is equivalent to the active treatment in every respect except for the factor about which an inference is to be made. Subjects in a blind experiment do not know if they have been given the active treatment or the placebo.

• Position vector of the point (a, b)

The vector <a,b>.

• Quotient rule of logarithms

logb a R S b = logb R - logb S, R > 0, S > 0

• Repeated zeros

Zeros of multiplicity ? 2 (see Multiplicity).

• Response variable

A variable that is affected by an explanatory variable.

• Secant line of ƒ

A line joining two points of the graph of ƒ.

• Second quartile

See Quartile.

• Standard position (angle)

An angle positioned on a rectangular coordinate system with its vertex at the origin and its initial side on the positive x-axis

• Sum identity

An identity involving a trigonometric function of u + v

• Triangular number

A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

• Unit vector in the direction of a vector

A unit vector that has the same direction as the given vector.

• Variable (in statistics)

A characteristic of individuals that is being identified or measured.

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