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# Solutions for Chapter 3.4.A: Excursion: Symmetry

## Full solutions for Precalculus | 1st Edition

ISBN: 9780030416477

Solutions for Chapter 3.4.A: Excursion: Symmetry

Solutions for Chapter 3.4.A
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##### ISBN: 9780030416477

This textbook survival guide was created for the textbook: Precalculus, edition: 1. Since 49 problems in chapter 3.4.A: Excursion: Symmetry have been answered, more than 24634 students have viewed full step-by-step solutions from this chapter. Chapter 3.4.A: Excursion: Symmetry includes 49 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Precalculus was written by and is associated to the ISBN: 9780030416477.

Key Calculus Terms and definitions covered in this textbook
• Absolute maximum

A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.

• Absolute value of a vector

See Magnitude of a vector.

• Algebraic expression

A combination of variables and constants involving addition, subtraction, multiplication, division, powers, and roots

• 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.

• Expanded form

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

• Gaussian curve

See Normal curve.

• Half-plane

The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

• Implicitly defined function

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

• Integers

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

• Interval

Connected subset of the real number line with at least two points, p. 4.

• Maximum r-value

The value of |r| at the point on the graph of a polar equation that has the maximum distance from the pole

• Natural logarithm

A logarithm with base e.

• Plane in Cartesian space

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

• Polar axis

See Polar coordinate system.

• Randomization

The principle of experimental design that makes it possible to use the laws of probability when making inferences.

• Right-hand limit of ƒ at x a

The limit of ƒ as x approaches a from the right.

• Second

Angle measure equal to 1/60 of a minute.

• Solve algebraically

Use an algebraic method, including paper and pencil manipulation and obvious mental work, with no calculator or grapher use. When appropriate, the final exact solution may be approximated by a calculator

• Standard form of a complex number

a + bi, where a and b are real numbers

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