 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 124940 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Acute triangle
A triangle in which all angles measure less than 90°

Closed interval
An interval that includes its endpoints

Convenience sample
A sample that sacrifices randomness for convenience

Expanded form of a series
A series written explicitly as a sum of terms (not in summation notation).

Factored form
The left side of u(v + w) = uv + uw.

Implicitly defined function
A function that is a subset of a relation defined by an equation in x and y.

Invertible linear system
A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

Lefthand limit of f at x a
The limit of ƒ as x approaches a from the left.

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

Median (of a data set)
The middle number (or the mean of the two middle numbers) if the data are listed in order.

nth root of unity
A complex number v such that vn = 1

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

Positive linear correlation
See Linear correlation.

Pythagorean identities
sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u

Riemann sum
A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

Right triangle
A triangle with a 90° angle.

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

Transformation
A function that maps real numbers to real numbers.

Upper bound for real zeros
A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

Vertical stretch or shrink
See Stretch, Shrink.