 1.1.1E: In Exercises 1–6, find the domain and range of each function.
 1.1.2E: In Exercises 1–6, find the domain and range of each function.
 1.1.3E: In Exercises 1–6, find the domain and range of each function.
 1.1.4E: In Exercises 1–6, find the domain and range of each function.
 1.1.5E: In Exercises 1–6, find the domain and range of each function.
 1.1.6E: In Exercises 1–6, find the domain and range of each function.
 1.1.7E: In Exercises 7 and 8, which of the graphs are graphs of functions o...
 1.1.8E: In Exercises 7 and 8, which of the graphs are graphs of functions o...
 1.1.9E: Express the area and perimeter of an equilateral triangle as a func...
 1.1.10E: Express the side length of a square as a function of the length d o...
 1.1.11E: Express the edge length of a cube as a function of the cube’s diago...
 1.1.12E: A point P in the first quadrant lies on the graph of the function ....
 1.1.13E: Consider the point lying on the graph of the line 2x + 4y = 5. Let ...
 1.1.14E: Consider the point lying on the graph of . Let L be the distance be...
 1.1.15E: Find the domain and graph the functions in Exercises 15–20.f(x) = 5...
 1.1.16E: Find the domain and graph the functions in Exercises 15–20.f(x) = 1...
 1.1.17E: Find the domain and graph the functions in Exercises 15–20.
 1.1.18E: Find the domain and graph the functions in Exercises 15–20.
 1.1.19E: Find the domain and graph the functions in Exercises 15–20.F(t) = t...
 1.1.20E: Find the domain and graph the functions in Exercises 15–20.G(t) = 1...
 1.1.21E: Find the domain of
 1.1.22E: Find the range of
 1.1.23E: Graph the following equations and explain why they are not graphs o...
 1.1.24E: Graph the following equations and explain why they are not graphs o...
 1.1.25E: Graph the functions in Exercises 25–28.
 1.1.26E: Graph the functions in Exercises 25–28.
 1.1.27E: Graph the functions in Exercises 25–28.
 1.1.28E: Graph the functions in Exercises 25–28.
 1.1.29E: Find a formula for each function graphed in Exercises 29–32.
 1.1.30E: Find a formula for each function graphed in Exercises 29–32.
 1.1.31E: Find a formula for each function graphed in Exercises 29–32.
 1.1.32E: Find a formula for each function graphed in Exercises 29–32.
 1.1.33E: For what values of x is
 1.1.34E: What real numbers x satisfy the equation
 1.1.35E: Does for all real x? Give reasons for your answer.
 1.1.36E: Graph the function Why is ƒ(x) called the integer part of x?
 1.1.37E: Graph the functions in Exercises 37–46. What symmetries, if any, do...
 1.1.38E: Graph the functions in Exercises 37–46. What symmetries, if any, do...
 1.1.39E: Graph the functions in Exercises 37–46. What symmetries, if any, do...
 1.1.40E: Graph the functions in Exercises 37–46. What symmetries, if any, do...
 1.1.41E: Graph the functions in Exercises 37–46. What symmetries, if any, do...
 1.1.42E: Graph the functions in Exercises 37–46. What symmetries, if any, do...
 1.1.43E: Graph the functions in Exercises 37–46. What symmetries, if any, do...
 1.1.44E: Graph the functions in Exercises 37–46. What symmetries, if any, do...
 1.1.45E: Graph the functions in Exercises 37–46. What symmetries, if any, do...
 1.1.46E: Graph the functions in Exercises 37–46. What symmetries, if any, do...
 1.1.47E: In Exercises 47–58, say whether the function is even, odd, or neith...
 1.1.48E: In Exercises 47–58, say whether the function is even, odd, or neith...
 1.1.49E: In Exercises 47–58, say whether the function is even, odd, or neith...
 1.1.50E: In Exercises 47–58, say whether the function is even, odd, or neith...
 1.1.51E: In Exercises 47–58, say whether the function is even, odd, or neith...
 1.1.52E: In Exercises 47–58, say whether the function is even, odd, or neith...
 1.1.53E: In Exercises 47–58, say whether the function is even, odd, or neith...
 1.1.54E: In Exercises 47–58, say whether the function is even, odd, or neith...
 1.1.55E: In Exercises 47–58, say whether the function is even, odd, or neith...
 1.1.56E: In Exercises 47–58, say whether the function is even, odd, or neith...
 1.1.57E: In Exercises 47–58, say whether the function is even, odd, or neith...
 1.1.58E: In Exercises 47–58, say whether the function is even, odd, or neith...
 1.1.59E: The variable s is proportional to t, s = 25 and when t = 75. Determ...
 1.1.60E: Kinetic energy The kinetic energy K of a mass is proportional to th...
 1.1.61E: The variables r and s are inversely proportional, and r = 6 when s ...
 1.1.62E: Boyle’s Law Boyle’s Law says that the volume V of a gas at constant...
 1.1.63E: A box with an open top is to be constructed from a rectangular piec...
 1.1.64E: The accompanying figure shows a rectangle inscribed in an isosceles...
 1.1.65E: In Exercises 65 and 66, match each equation with its graph. Do not ...
 1.1.66E: In Exercises 65 and 66, match each equation with its graph. Do not ...
 1.1.67E: a. Graph the functions f(x) = x/2 and g(x) = 1 + (4/x) together to ...
 1.1.68E: a. Graph the functions f(x) = 3/(x – 1) and g(x) = 2/(x + 1) togeth...
 1.1.69E: For a curve to be symmetric about the xaxis, the point (x, y) must...
 1.1.70E: Three hundred books sell for $40 each, resulting in a revenue of (3...
 1.1.71E: A pen in the shape of an isosceles right triangle with legs of leng...
 1.1.72E: Industrial costs A power plant sits next to a river where the river...
Solutions for Chapter 1.1: University Calculus: Early Transcendentals 2nd Edition
Full solutions for University Calculus: Early Transcendentals  2nd Edition
ISBN: 9780321717399
Solutions for Chapter 1.1
Get Full SolutionsThis textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2. Chapter 1.1 includes 72 full stepbystep solutions. Since 72 problems in chapter 1.1 have been answered, more than 42200 students have viewed full stepbystep solutions from this chapter. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399. This expansive textbook survival guide covers the following chapters and their solutions.

Branches
The two separate curves that make up a hyperbola

Compound interest
Interest that becomes part of the investment

Cosine
The function y = cos x

Ellipsoid of revolution
A surface generated by rotating an ellipse about its major axis

Law of cosines
a2 = b2 + c2  2bc cos A, b2 = a2 + c2  2ac cos B, c2 = a2 + b2  2ab cos C

Limaçon
A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0

Linear combination of vectors u and v
An expression au + bv , where a and b are real numbers

Linear factorization theorem
A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1  z1) 1x  i z 22 Á 1x  z n where the z1 are the zeros of ƒ

Plane in Cartesian space
The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

Positive angle
Angle generated by a counterclockwise rotation.

Present value of an annuity T
he net amount of your money put into an annuity.

Product of matrices A and B
The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding

Randomization
The principle of experimental design that makes it possible to use the laws of probability when making inferences.

Right circular cone
The surface created when a line is rotated about a second line that intersects but is not perpendicular to the first line.

Sample survey
A process for gathering data from a subset of a population, usually through direct questioning.

Semimajor axis
The distance from the center to a vertex of an ellipse.

Stretch of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal stretch) by the constant 1/c, or all of the ycoordinates (vertical stretch) of the points by a constant c, c, > 1.

Wrapping function
The function that associates points on the unit circle with points on the real number line

zcoordinate
The directed distance from the xyplane to a point in space, or the third number in an ordered triple.

Zero factor property
If ab = 0 , then either a = 0 or b = 0.