 1.2.1E: Give four ways that functions may be defined and represented
 1.2.2E: What is the domain of a polynomial?
 1.2.3E: What is the domain of a rational function?
 1.2.4E: Describe what is meant by a piecewise linear function
 1.2.5E: Sketch a graph of y = x 5
 1.2.6E: Sketch a graph of y = x 1/5
 1.2.7E: If you haw the graph of y= f(x), how do you obtain the graph of y= ...
 1.2.8E: If you have the graph of y= f(x), how do you obtain the graph of y=...
 1.2.9E: If you have the graph of y= f(x), how do you obtain the graph y= f(...
 1.2.10E: 2 2 Given the graph of y = x , how do you obtain the graph of y = 4...
 1.2.11E: Graphs of functions. Find the linear functions that correspond to t...
 1.2.12E: Graphs of functions. Find the linear functions that correspond to t...
 1.2.13E: Demand function Sales record indicate that if DVD players are price...
 1.2.14E: Fundraiser. The Biology Club plans to have a fundraiser for which $...
 1.2.15E: Graphs of piecewise functions. ?Write a definition of the functions...
 1.2.16E: Graphs of piecewise functions. ?Write a definition of the functions...
 1.2.17E: 17E
 1.2.18E: 18E
 1.2.19E: Piecewise? ?linea? unctions? ?Graph the following functions.
 1.2.20E: Piecewise? ?linea? unctions? ?Graph the following functions.
 1.2.21E: ?Graphs? o ? f? ?functions ? a. U? se a graphing utility to produce...
 1.2.22E: Graphs? ?of? ?functions ? a. U? se a graphing utility to produce a ...
 1.2.23E: ?Graphs? o ? f? ?functions ? a. U? se a graphing utility to produce...
 1.2.24E: ?Graphs? o ? f? ?functions ? a. U? se a graphing utility to produce...
 1.2.25E: Slope functions ?Determine the slope function for the following fun...
 1.2.26E: Slope functions ?Determine the slope function for the following fun...
 1.2.27E: Area functions? ?L?et A(x ? )?be the area of the region bounded by ...
 1.2.28E: Area? ?functions?? ?L?et A(?x) ?be the area of the region bounded b...
 1.2.29E: Transformation ? s of? ?y ?  The funct? ions ?f?an? in the figure ...
 1.2.30E: Transformations Use the grap ? h of f ? in the figure to plot the f...
 1.2.31E: Transformation ? s? of? (??x) ? 2 Use shifts and scalings to transf...
 1.2.32E: Transformatio?ns? of ?f(x ? ) ? ? Use shifts and scalings to transf...
 1.2.33E: Shifting and scaling ?Use shifts and scalings to graph the given fu...
 1.2.34E: Shifting and scaling ?Use shifts and scalings to graph the given fu...
 1.2.35E: Shifting and scaling ?Use shifts and scalings to graph the given fu...
 1.2.36E: Shifting and scaling ?Use shifts and scalings to graph the given fu...
 1.2.37E: Shifting and scaling. ?Use shifts and scalings to graph the given f...
 1.2.38E: Shifting and scaling ?Use shifts and scalings to graph the given fu...
 1.2.39E: Explain why or why not Determine whether the following statements a...
 1.2.40E: Intersection problems ?Use analytical methods to find the following...
 1.2.41E: Intersection problems ?Use analytical methods to find the following...
 1.2.42E: Functions from tables. ?Find a simple function that fits the data i...
 1.2.43E: Functions from tables. ?Find a simple function that fits the data i...
 1.2.44E: Functions from words ?Find a formula for a function describing the ...
 1.2.45E: Functions from words ?Find a formula for a function describing the ...
 1.2.46E: Functions from words ?Find a formula for a function describing the ...
 1.2.47E: Functions from words ?Find a formula for a function describing the ...
 1.2.48E: Floor function. The floor function, or greatest integer functi?on ?...
 1.2.49E: Ceiling function. The ceiling function, or smallest integer functi?...
 1.2.50E: Sawtooth? ?wave? Graph the sawtooth wave defined by
 1.2.51E: Square wave. Graph the square wave defined by
 1.2.52E: Roots and powers. M ? ake a rough sketch of the given pairs of func...
 1.2.53E: Roots and powers. M ? ake a rough sketch of the given pairs of func...
 1.2.54E: Roots and powers. M ? ake a rough sketch of the given pairs of func...
 1.2.55E: Bald eagle population Since DDT was banned and the Endangered Speci...
 1.2.56E: Temperature? ?scales a. Find the linear function? ?C? = f? ) that g...
 1.2.57E: Automobile lease vs. buy. A car dealer offers a purchase option and...
 1.2.59E: Functions? ?from?? eometry A single slice through a sphere of radiu...
 1.2.60E: Walking and rowing?. Kelly has finished a picnic on an island that ...
 1.2.61e: Optimal boxes?. Imagine a lidless box with height ?h and a square b...
 1.2.62AE: Composition of polynomials. Let ?f be an ?n?thdegree polynomial an...
 1.2.63AE: Parabola ?vertex ?property. ?Prove that if a parabola crosses the ?...
 1.2.64AE: Parabola properties Consider the general quadratic funct? io?n f ? ...
 1.2.65AE: Factorial function?. The factorial function is defined for positive...
 1.2.66AE: Sum of integers.? ? Le ? t? ? )= 1 ?+ 2 + ?…? + n,where ?n is a pos...
 1.2.67AE: 2 2 Sum of squared integers.? Let T(n) = 1 + 2 + ....n 2 w? here ? ...
Solutions for Chapter 1.2: Calculus: Early Transcendentals 1st Edition
Full solutions for Calculus: Early Transcendentals  1st Edition
ISBN: 9780321570567
Solutions for Chapter 1.2
Get Full SolutionsThis textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Chapter 1.2 includes 66 full stepbystep solutions. Since 66 problems in chapter 1.2 have been answered, more than 94162 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Annual percentage rate (APR)
The annual interest rate

Bounded
A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

Characteristic polynomial of a square matrix A
det(xIn  A), where A is an n x n matrix

Deductive reasoning
The process of utilizing general information to prove a specific hypothesis

Direct variation
See Power function.

Equal complex numbers
Complex numbers whose real parts are equal and whose imaginary parts are equal.

Equivalent arrows
Arrows that have the same magnitude and direction.

Graph of an equation in x and y
The set of all points in the coordinate plane corresponding to the pairs x, y that are solutions of the equation.

Independent variable
Variable representing the domain value of a function (usually x).

Limit at infinity
limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x: q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

Ordered pair
A pair of real numbers (x, y), p. 12.

Orthogonal vectors
Two vectors u and v with u x v = 0.

Permutations of n objects taken r at a time
There are nPr = n!1n  r2! such permutations

Removable discontinuity at x = a
lim x:a ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined

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

Slope
Ratio change in y/change in x

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

Tangent
The function y = tan x

Vertex of a cone
See Right circular cone.

Yscl
The scale of the tick marks on the yaxis in a viewing window.