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# Solutions for Chapter 1.6: A Library of Parent Functions

## Full solutions for Precalculus | 7th Edition

ISBN: 9780618643448

Solutions for Chapter 1.6: A Library of Parent Functions

Solutions for Chapter 1.6
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##### ISBN: 9780618643448

Since 76 problems in chapter 1.6: A Library of Parent Functions have been answered, more than 30279 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Precalculus, edition: 7. This expansive textbook survival guide covers the following chapters and their solutions. Precalculus was written by and is associated to the ISBN: 9780618643448. Chapter 1.6: A Library of Parent Functions includes 76 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Arccotangent function

See Inverse cotangent function.

• Binomial probability

In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n - k2!pk11 - p) n-k where p is the probability of the outcome occurring once

• Circle

A set of points in a plane equally distant from a fixed point called the center

• Combinations of n objects taken r at a time

There are nCr = n! r!1n - r2! such combinations,

• Completing the square

A method of adding a constant to an expression in order to form a perfect square

• Descriptive statistics

The gathering and processing of numerical information

• Directed line segment

See Arrow.

• Function

A relation that associates each value in the domain with exactly one value in the range.

• 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.

• Linear equation in x

An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0

• Logarithmic re-expression of data

Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression

• Outcomes

The various possible results of an experiment.

• Partial sums

See Sequence of partial sums.

• Pythagorean

Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

• Real number line

A horizontal line that represents the set of real numbers.

• Reflection across the y-axis

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

• Replication

The principle of experimental design that minimizes the effects of chance variation by repeating the experiment multiple times.

• Sample space

Set of all possible outcomes of an experiment.

• Solve graphically

Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically

• Zero matrix

A matrix consisting entirely of zeros.

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