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Get Full Access to Calculus - Textbook Survival Guide
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# Solutions for Chapter 2.1: Polynomial, Power, and Rational Functions

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

ISBN: 9780321656933

Solutions for Chapter 2.1: Polynomial, Power, and Rational Functions

Solutions for Chapter 2.1
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##### ISBN: 9780321656933

Precalculus: Graphical, Numerical, Algebraic was written by and is associated to the ISBN: 9780321656933. Since 95 problems in chapter 2.1: Polynomial, Power, and Rational Functions have been answered, more than 59497 students have viewed full step-by-step solutions from this chapter. Chapter 2.1: Polynomial, Power, and Rational Functions includes 95 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Precalculus: Graphical, Numerical, Algebraic, edition: 8th Edition.

Key Calculus Terms and definitions covered in this textbook
• Angle of elevation

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

• Annuity

A sequence of equal periodic payments.

• 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

• Constant function (on an interval)

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

• Convergence of a sequence

A sequence {an} converges to a if limn: q an = a

• Cubic

A degree 3 polynomial function

• Derivative of ƒ at x a

ƒ'(a) = lim x:a ƒ(x) - ƒ(a) x - a provided the limit exists

• Fibonacci sequence

The sequence 1, 1, 2, 3, 5, 8, 13, . . ..

• Horizontal Line Test

A test for determining whether the inverse of a relation is a function.

• Inverse cosecant function

The function y = csc-1 x

• Inverse tangent function

The function y = tan-1 x

• Irrational numbers

Real numbers that are not rational, p. 2.

• Irrational zeros

Zeros of a function that are irrational numbers.

• Linear correlation

A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

• Multiplicative inverse of a complex number

The reciprocal of a + bi, or 1 a + bi = a a2 + b2- ba2 + b2 i

• Natural logarithmic function

The inverse of the exponential function y = ex, denoted by y = ln x.

• Outcomes

The various possible results of an experiment.

• Pole

See Polar coordinate system.

• Projectile motion

The movement of an object that is subject only to the force of gravity

• Vertices of an ellipse

The points where the ellipse intersects its focal axis.