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# Solutions for Chapter 1.1: WHAT IS A FUNCTION?

## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920

Solutions for Chapter 1.1: WHAT IS A FUNCTION?

Solutions for Chapter 1.1
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##### ISBN: 9781118174920

Chapter 1.1: WHAT IS A FUNCTION? includes 38 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Applied Calculus was written by Patricia and is associated to the ISBN: 9781118174920. Since 38 problems in chapter 1.1: WHAT IS A FUNCTION? have been answered, more than 6956 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5.

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

A function is bounded below if there is a number b such that b ? ƒ(x) for all x in the domain of f.

• Difference of two vectors

<u1, u2> - <v1, v2> = <u1 - v1, u2 - v2> or <u1, u2, u3> - <v1, v2, v3> = <u1 - v1, u2 - v2, u3 - v3>

• Distance (on a number line)

The distance between real numbers a and b, or |a - b|

• Equivalent arrows

Arrows that have the same magnitude and direction.

• Extraneous solution

Any solution of the resulting equation that is not a solution of the original equation.

• Factored form

The left side of u(v + w) = uv + uw.

• Inverse composition rule

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

• Linear regression equation

Equation of a linear regression line

• Lower bound for real zeros

A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

• Minor axis

The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

• Natural numbers

The numbers 1, 2, 3, . . . ,.

• Parameter

See Parametric equations.

• Permutations of n objects taken r at a time

There are nPr = n!1n - r2! such permutations

• Pole

See Polar coordinate system.

• Probability of an event in a finite sample space of equally likely outcomes

The number of outcomes in the event divided by the number of outcomes in the sample space.

• Quotient rule of logarithms

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

• Secant line of ƒ

A line joining two points of the graph of ƒ.

• Speed

The magnitude of the velocity vector, given by distance/time.

• Triangular form

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

• Whole numbers

The numbers 0, 1, 2, 3, ... .

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