×
×

# Solutions for Chapter P.4: Prerequisites

## Full solutions for Precalculus: Graphical, Numerical, Algebraic | 8th Edition

ISBN: 9780321656933

Solutions for Chapter P.4: Prerequisites

Solutions for Chapter P.4
4 5 0 418 Reviews
25
5
##### ISBN: 9780321656933

Since 81 problems in chapter P.4: Prerequisites have been answered, more than 43193 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Precalculus: Graphical, Numerical, Algebraic, edition: 8th Edition. Chapter P.4: Prerequisites includes 81 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Precalculus: Graphical, Numerical, Algebraic was written by and is associated to the ISBN: 9780321656933.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a complex number

The absolute value of the complex number z = a + b is given by ?a2+b2; also, the length of the segment from the origin to z in the complex plane.

If u = v and w = z , then u + w = v + z

• Anchor

See Mathematical induction.

• Angle of depression

The acute angle formed by the line of sight (downward) and the horizontal

• Arrow

The notation PQ denoting the directed line segment with initial point P and terminal point Q.

• Bar chart

A rectangular graphical display of categorical data.

• Bias

A flaw in the design of a sampling process that systematically causes the sample to differ from the population with respect to the statistic being measured. Undercoverage bias results when the sample systematically excludes one or more segments of the population. Voluntary response bias results when a sample consists only of those who volunteer their responses. Response bias results when the sampling design intentionally or unintentionally influences the responses

• Double inequality

A statement that describes a bounded interval, such as 3 ? x < 5

• Factoring (a polynomial)

Writing a polynomial as a product of two or more polynomial factors.

• Graph of an inequality in x and y

The set of all points in the coordinate plane corresponding to the solutions x, y of the inequality.

• Identity matrix

A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

• Inverse of a matrix

The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.

• Midpoint (in Cartesian space)

For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b

• Mode of a data set

The category or number that occurs most frequently in the set.

• Reflection across the y-axis

x, y and (-x,y) are reflections of each other across the y-axis.

• Synthetic division

A procedure used to divide a polynomial by a linear factor, x - a

• Term of a polynomial (function)

An expression of the form anxn in a polynomial (function).

• Upper bound for ƒ

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

• Vertex of an angle

See Angle.

• Ymax

The y-value of the top of the viewing window.

×