 1.1.1E: Use the terms domain,range, independent variable,and dependent vari...
 1.1.2E: Does the independent variable of a function belong to the domain or...
 1.1.3E: Explain how the vertical line test is used to detect functions.
 1.1.33E: Find possible choices for outer and inner funct? ions ?f? ? such th...
 1.1.4E: If f(x) = 1/(x? + 1), what is f(2)? What is f(y? )? 2?
 1.1.5E: Which statement about a function is true? (i) For each value of x i...
 1.1.6E: If f(x) = and g(x) = x3 ? 2, find the compositions f ° g, g ° f, f ...
 1.1.7E: If f(± 2) = 2and g(± 2) =? 2evaluate f(g(2)) and g(f(2))
 1.1.9E: Sketch a graph of an even function and give the function’s defining...
 1.1.10E: Sketch a graph of an odd function and give the function’s defining ...
 1.1.11E: Vertical? ?line? ?t? ecide whether gr?aph A, ?gr?aph B, ?or both gr...
 1.1.12E: Vertical? l? in? est? ?Decide whether gr?aph A, g? r?aph B,? r both...
 1.1.13E: Domain? ?and? ?range? ?Graph each function with a graphing utility ...
 1.1.14E: Domain and range Graph each function with a graphing utility using ...
 1.1.15E: .Domain and range Graph each function with a graphing utility using...
 1.1.16E: Domain and range Graph each function with a graphing utility using ...
 1.1.17E: Domain and range Graph each function with a graphing utility using ...
 1.1.18E: Domain and range Graph each function with a graphing utility using ...
 1.1.21E: 21E
 1.1.22E: Composite functions and notation Let ?f(x)=x? 4, g(x)=x? and ?F(x)...
 1.1.23E: Composite functions and notation Let ?f? (x)=x 4, g? (x)=x and ?F(...
 1.1.24E: ? 2 ? 3 Composite functions and notation Let ?f? (x)=x 4, g? (x)=x...
 1.1.25E: Composite functions and notation Let ?f? (x)=x 4, g? (x)=x and ?F(...
 1.1.26E: Composite functions and notation. Let ?f? (x)?=x 4, ?g? (x)=x and ...
 1.1.27E: Composite functions and notation. Let ?f(x)=x? 4?, ?g(x)=x? and ?F...
 1.1.28E: Composite functions and notation. Let ?f? (x)?=x 4, ?g? (x)=x and ...
 1.1.29E: Composite functions and notation. Let ?f? (x)?=x 4, ?g? (x)=x and ...
 1.1.30E: Composite functions and notation?. Let ?f? (x)?=x 4, ?g? (x)=x and...
 1.1.31E: Find possible choices for outer and inner funct? ions ?f? and ? suc...
 1.1.32E: Find possible choices for outer and inner funct? ions ?f? a? such t...
 1.1.34E: Find possible choices for outer and inner functions ?f? and ?g? suc...
 1.1.35E: 35E
 1.1.36E: 36E
 1.1.37E: 37E
 1.1.38E: 38E
 1.1.39E: 39E
 1.1.40E: 40E
 1.1.41E: 2? Missing? ?piece ? ? ? et g?? )? x + 3 a ? nd find a function f t...
 1.1.42E: 2? Missing? ?piece ? ? ? et g?? )? x + 3 a ? nd find a function f t...
 1.1.43E: Missing? ?piece? ?Let g?(?x?)?= x? + 3 ?and find a function f that ...
 1.1.44E: Missing? ?piece? ?Let g?(?x?)?= x? + 3 ?and find a function f that ...
 1.1.47E: 47E
 1.1.48E: f(x) = 3x +2x ?x
 1.1.49E: f(x) = x +x ?2
 1.1.50E: f(x) = 2  
 1.1.51E: x2/3+y 2/3= 1
 1.1.52E: x ?y = 0
 1.1.53E: Symmetry? i ? n? ?graphs? State whether the functions represented b...
 1.1.54E: 54E
 1.1.55E: Explain why or why not Determine whether the following statements a...
 1.1.56E: Range of power functions Using words and figures, explain why the r...
 1.1.58E: Even and odd at the origin a. If ?f?(0) is defined and ?f? is an ev...
 1.1.59E: 59E
 1.1.60E: 2 2 (f(x)) = 9x ?12x+4
 1.1.61E: 4 2 f(f(x)) = x ?12x +30
 1.1.62E: 2 4 2 (f(x)) = x ? 12x + 36
 1.1.63E: Launching a rocket A small rocket is launched vertically upward fro...
 1.1.64E: Draining a tank (Torricelli’s law) A cylindrical tank with a cross...
 1.1.65E: 65AE
 1.1.66E: 66AE
 1.1.67E: 67AE
 1.1.68E: 68AE
 1.1.69E: 69AE
 1.1.70E: 70AE
 1.1.71E: 71AE
 1.1.72E: 72AE
 1.1.73E: 73AE
 1.1.74E: 2 f(x) = 4x ?1
 1.1.75E: 1 f(x) = 2x
Solutions for Chapter 1.1: Calculus: Early Transcendentals 1st Edition
Full solutions for Calculus: Early Transcendentals  1st Edition
ISBN: 9780321570567
Solutions for Chapter 1.1
Get Full SolutionsChapter 1.1 includes 69 full stepbystep solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Since 69 problems in chapter 1.1 have been answered, more than 63610 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Arccotangent function
See Inverse cotangent function.

Arcsine function
See Inverse sine function.

Boxplot (or boxandwhisker plot)
A graph that displays a fivenumber summary

Combinatorics
A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

Component form of a vector
If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x, y, and zcomponents of the vector, respectively)

Coordinate plane
See Cartesian coordinate system.

Explanatory variable
A variable that affects a response variable.

Instantaneous rate of change
See Derivative at x = a.

Linear inequality in two variables x and y
An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

Lower bound of f
Any number b for which b < ƒ(x) for all x in the domain of ƒ

Polar distance formula
The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22  2r1r2 cos 1?1  ?22

Reciprocal identity
An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.

Relation
A set of ordered pairs of real numbers.

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

Sinusoid
A function that can be written in the form f(x) = a sin (b (x  h)) + k or f(x) = a cos (b(x  h)) + k. The number a is the amplitude, and the number h is the phase shift.

Solution of a system in two variables
An ordered pair of real numbers that satisfies all of the equations or inequalities in the system

Standard form of a polynomial function
ƒ(x) = an x n + an1x n1 + Á + a1x + a0

Sum of a finite arithmetic series
Sn = na a1 + a2 2 b = n 2 32a1 + 1n  12d4,

Sum of functions
(ƒ + g)(x) = ƒ(x) + g(x)

yintercept
A point that lies on both the graph and the yaxis.