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# Solutions for Chapter 3.2: Logarithmic Functions and Their Graphs

## Full solutions for Precalculus | 7th Edition

ISBN: 9780618643448

Solutions for Chapter 3.2: Logarithmic Functions and Their Graphs

Solutions for Chapter 3.2
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##### ISBN: 9780618643448

This textbook survival guide was created for the textbook: Precalculus, edition: 7. Since 108 problems in chapter 3.2: Logarithmic Functions and Their Graphs have been answered, more than 37670 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Precalculus was written by and is associated to the ISBN: 9780618643448. Chapter 3.2: Logarithmic Functions and Their Graphs includes 108 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Boundary

The set of points on the “edge” of a region

• Cubic

A degree 3 polynomial function

• Directrix of a parabola, ellipse, or hyperbola

A line used to determine the conic

• Distance (in a coordinate plane)

The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1 - x 2)2 + (y1 - y2)2

• Focal length of a parabola

The directed distance from the vertex to the focus.

• Frequency distribution

See Frequency table.

• 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.

• Graph of a function ƒ

The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.

• Horizontal shrink or stretch

See Shrink, stretch.

• Inverse tangent function

The function y = tan-1 x

• Mean (of a set of data)

The sum of all the data divided by the total number of items

• Origin

The number zero on a number line, or the point where the x- and y-axes cross in the Cartesian coordinate system, or the point where the x-, y-, and z-axes cross in Cartesian three-dimensional space

• Parametric equations

Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

• Partial fraction decomposition

See Partial fractions.

• Polar coordinate system

A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

• Rational numbers

Numbers that can be written as a/b, where a and b are integers, and b ? 0.

• Reflection

Two points that are symmetric with respect to a lineor a point.

• Solve a system

To find all solutions of a system.

• Transitive property

If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

• Unit vector in the direction of a vector

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

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