×
×

# Solutions for Chapter 8-2: SINUSOIDAL FUNCTIONS AND THEIR GRAPHS

## Full solutions for Functions Modeling Change: A Preparation for Calculus | 4th Edition

ISBN: 9780470484753

Solutions for Chapter 8-2: SINUSOIDAL FUNCTIONS AND THEIR GRAPHS

Solutions for Chapter 8-2
4 5 0 347 Reviews
20
4
##### ISBN: 9780470484753

Functions Modeling Change: A Preparation for Calculus was written by and is associated to the ISBN: 9780470484753. Since 46 problems in chapter 8-2: SINUSOIDAL FUNCTIONS AND THEIR GRAPHS have been answered, more than 26269 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Functions Modeling Change: A Preparation for Calculus , edition: 4. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 8-2: SINUSOIDAL FUNCTIONS AND THEIR GRAPHS includes 46 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Causation

A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

• Closed interval

An interval that includes its endpoints

• Divisor of a polynomial

See Division algorithm for polynomials.

• equation of a quadratic function

ƒ(x) = ax 2 + bx + c(a ? 0)

• Focal width of a parabola

The length of the chord through the focus and perpendicular to the axis.

• 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.

• Imaginary axis

See Complex plane.

• Increasing on an interval

A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

• Linear inequality in x

An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

• Linear system

A system of linear equations

• Local maximum

A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

• Logistic growth function

A model of population growth: ƒ1x2 = c 1 + a # bx or ƒ1x2 = c1 + ae-kx, where a, b, c, and k are positive with b < 1. c is the limit to growth

• Modified boxplot

A boxplot with the outliers removed.

• Natural logarithmic regression

A procedure for fitting a logarithmic curve to a set of data.

• Number line graph of a linear inequality

The graph of the solutions of a linear inequality (in x) on a number line

• Numerical derivative of ƒ at a

NDER f(a) = ƒ1a + 0.0012 - ƒ1a - 0.00120.002

• Replication

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

• Vector

An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

• Vertical line test

A test for determining whether a graph is a function.

• Ymax

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

×