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# Solutions for Chapter 1: Functions and Their Graphs

## Full solutions for Precalculus with Limits | 3rd Edition

ISBN: 9781133947202

Solutions for Chapter 1: Functions and Their Graphs

Solutions for Chapter 1
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##### ISBN: 9781133947202

Chapter 1: Functions and Their Graphs includes 103 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Precalculus with Limits was written by and is associated to the ISBN: 9781133947202. This textbook survival guide was created for the textbook: Precalculus with Limits, edition: 3. Since 103 problems in chapter 1: Functions and Their Graphs have been answered, more than 26743 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Base

See Exponential function, Logarithmic function, nth power of a.

• Branches

The two separate curves that make up a hyperbola

• Cofunction identity

An identity that relates the sine, secant, or tangent to the cosine, cosecant, or cotangent, respectively

• Constant function (on an interval)

ƒ(x 1) = ƒ(x 2) x for any x1 and x2 (in the interval)

• Difference of complex numbers

(a + bi) - (c + di) = (a - c) + (b - d)i

• DMS measure

The measure of an angle in degrees, minutes, and seconds

• Equivalent arrows

Arrows that have the same magnitude and direction.

• Expanded form of a series

A series written explicitly as a sum of terms (not in summation notation).

• First quartile

See Quartile.

• Half-life

The amount of time required for half of a radioactive substance to decay.

• Inequality symbol or

<,>,<,>.

• Multiplicative inverse of a matrix

See Inverse of a matrix

• Natural logarithm

A logarithm with base e.

• Partial fractions

The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

An angle in standard position whose terminal side lies on an axis.

• Shrink of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.

• Trichotomy property

For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

• Unit circle

A circle with radius 1 centered at the origin.

• Upper bound for ƒ

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

• Variance

The square of the standard deviation.

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