 1.1: Plotting Points in the Cartesian Plane In Exercises 1 and 2, plot t...
 1.2: Plotting Points in the Cartesian Plane In Exercises 1 and 2, plot t...
 1.3: Determining Quadrant(s) for a Point In Exercises 3 and 4, determine...
 1.4: Determining Quadrant(s) for a Point In Exercises 3 and 4, determine...
 1.5: Plotting, Distance, and Midpoint Plot the points and Then find the ...
 1.6: Sales Barnes & Noble had annual sales of $5.1 billion in 2008 and $...
 1.7: Sketching the Graph of an Equation In Exercises 710, construct a ta...
 1.8: Sketching the Graph of an Equation In Exercises 710, construct a ta...
 1.9: Sketching the Graph of an Equation In Exercises 710, construct a ta...
 1.10: Sketching the Graph of an Equation In Exercises 710, construct a ta...
 1.11: Finding x and yIntercepts In Exercises 1114, find the  and inte...
 1.12: Finding x and yIntercepts In Exercises 1114, find the  and inte...
 1.13: Finding x and yIntercepts In Exercises 1114, find the  and inte...
 1.14: Finding x and yIntercepts In Exercises 1114, find the  and inte...
 1.15: Intercepts, Symmetry, and Graphing In Exercises 1522, identify any ...
 1.16: Intercepts, Symmetry, and Graphing In Exercises 1522, identify any ...
 1.17: Intercepts, Symmetry, and Graphing In Exercises 1522, identify any ...
 1.18: Intercepts, Symmetry, and Graphing In Exercises 1522, identify any ...
 1.19: Intercepts, Symmetry, and Graphing In Exercises 1522, identify any ...
 1.20: Intercepts, Symmetry, and Graphing In Exercises 1522, identify any ...
 1.21: Intercepts, Symmetry, and Graphing In Exercises 1522, identify any ...
 1.22: Intercepts, Symmetry, and Graphing In Exercises 1522, identify any ...
 1.23: Sketching the Graph of a Circle In Exercises 2326, find the center ...
 1.24: Sketching the Graph of a Circle In Exercises 2326, find the center ...
 1.25: Sketching the Graph of a Circle In Exercises 2326, find the center ...
 1.26: Sketching the Graph of a Circle In Exercises 2326, find the center ...
 1.27: Writing the Equation of a Circle Write the standard form of the equ...
 1.28: Physics The force (in pounds) required to stretch a spring inches f...
 1.29: Graphing a Linear Equation In Exercises 29 32, find the slope and ...
 1.30: Graphing a Linear Equation In Exercises 29 32, find the slope and ...
 1.31: Graphing a Linear Equation In Exercises 29 32, find the slope and ...
 1.32: Graphing a Linear Equation In Exercises 29 32, find the slope and ...
 1.33: Finding the Slope of a Line Through Two Points In Exercises 33 and ...
 1.34: Finding the Slope of a Line Through Two Points In Exercises 33 and ...
 1.35: Finding an Equation of a Line In Exercises 35 and 36, find an equat...
 1.36: Finding an Equation of a Line In Exercises 35 and 36, find an equat...
 1.37: Finding an Equation of a Line In Exercises 37 and 38, find an equat...
 1.38: Finding an Equation of a Line In Exercises 37 and 38, find an equat...
 1.39: Finding Parallel and Perpendicular Lines In Exercises 39 and 40, wr...
 1.40: Finding Parallel and Perpendicular Lines In Exercises 39 and 40, wr...
 1.41: Sales A discount outlet is offering a 20% discount on all items. Wr...
 1.42: Hourly Wage A microchip manufacturer pays its assembly line workers...
 1.43: Testing for Functions Represented Algebraically In Exercises 4346, ...
 1.44: Testing for Functions Represented Algebraically In Exercises 4346, ...
 1.45: Testing for Functions Represented Algebraically In Exercises 4346, ...
 1.46: Testing for Functions Represented Algebraically In Exercises 4346, ...
 1.47: Evaluating a Function In Exercises 47 and 48, evaluate the function...
 1.48: Evaluating a Function In Exercises 47 and 48, evaluate the function...
 1.49: Finding the Domain of a Function In Exercises 49 and 50, find the d...
 1.50: Finding the Domain of a Function In Exercises 49 and 50, find the d...
 1.51: Physics In Exercises 51 and 52, the velocity of a ball projected up...
 1.52: Physics In Exercises 51 and 52, the velocity of a ball projected up...
 1.53: Evaluating a Difference Quotient In Exercises 53 and 54, find the d...
 1.54: Evaluating a Difference Quotient In Exercises 53 and 54, find the d...
 1.55: Vertical Line Test for Functions In Exercises 55 and 56, use the Ve...
 1.56: Vertical Line Test for Functions In Exercises 55 and 56, use the Ve...
 1.57: Finding the Zeros of a Function In Exercises 5760, find the zeros o...
 1.58: Finding the Zeros of a Function In Exercises 5760, find the zeros o...
 1.59: Finding the Zeros of a Function In Exercises 5760, find the zeros o...
 1.60: Finding the Zeros of a Function In Exercises 5760, find the zeros o...
 1.61: Describing Function Behavior In Exercises 61 and 62, use a graphing...
 1.62: Describing Function Behavior In Exercises 61 and 62, use a graphing...
 1.63: Approximating Relative Minima or Maxima In Exercises 63 and 64, use...
 1.64: Approximating Relative Minima or Maxima In Exercises 63 and 64, use...
 1.65: Average Rate of Change of a Function In Exercises 65 and 66, find t...
 1.66: Average Rate of Change of a Function In Exercises 65 and 66, find t...
 1.67: Even, Odd, or Neither? In Exercises 67 68, determine whether the fu...
 1.68: Even, Odd, or Neither? In Exercises 67 68, determine whether the fu...
 1.69: Writing a Linear Function In Exercises 69 and 70, (a) write the lin...
 1.70: Writing a Linear Function In Exercises 69 and 70, (a) write the lin...
 1.71: Graphing a Function In Exercises 7174, sketch the graph of the func...
 1.72: Graphing a Function In Exercises 7174, sketch the graph of the func...
 1.73: Graphing a Function In Exercises 7174, sketch the graph of the func...
 1.74: Graphing a Function In Exercises 7174, sketch the graph of the func...
 1.75: Identifying a Parent Function In Exercises 7584, is related to one ...
 1.76: Identifying a Parent Function In Exercises 7584, is related to one ...
 1.77: Identifying a Parent Function In Exercises 7584, is related to one ...
 1.78: Identifying a Parent Function In Exercises 7584, is related to one ...
 1.79: Identifying a Parent Function In Exercises 7584, is related to one ...
 1.80: Identifying a Parent Function In Exercises 7584, is related to one ...
 1.81: Identifying a Parent Function In Exercises 7584, is related to one ...
 1.82: Identifying a Parent Function In Exercises 7584, is related to one ...
 1.83: Identifying a Parent Function In Exercises 7584, is related to one ...
 1.84: Identifying a Parent Function In Exercises 7584, is related to one ...
 1.85: Finding Arithmetic Combinations of Functions In Exercises 85 and 86...
 1.86: Finding Arithmetic Combinations of Functions In Exercises 85 and 86...
 1.87: Finding Domains of Functions and Composite Functions In Exercises 8...
 1.88: Finding Domains of Functions and Composite Functions In Exercises 8...
 1.89: Find the composition and interpret its meaning in context.
 1.90: Find the time when the bacteria count reaches 750.
 1.91: Finding an Inverse Function Informally In Exercises 91 and 92, find...
 1.92: Finding an Inverse Function Informally In Exercises 91 and 92, find...
 1.93: Applying the Horizontal Line Test In Exercises 93 and 94, use a gra...
 1.94: Applying the Horizontal Line Test In Exercises 93 and 94, use a gra...
 1.95: Finding and Analyzing Inverse Functions In Exercises 95 and 96, (a)...
 1.96: Finding and Analyzing Inverse Functions In Exercises 95 and 96, (a)...
 1.97: Restricting the Domain In Exercises 97 and 98, restrict the domain ...
 1.98: Restricting the Domain In Exercises 97 and 98, restrict the domain ...
 1.99: Compact Discs The values (in billions of dollars) of shipments of c...
 1.100: Travel Time The travel time between two cities is inversely proport...
 1.101: Cost The cost of constructing a wooden box with a square base varie...
 1.102: Relative to the graph of the function is shifted 9 units to the lef...
 1.103: If and are two inverse functions, then the domain of g is equal to ...
Solutions for Chapter 1: Functions and Their Graphs
Full solutions for Precalculus with Limits  3rd Edition
ISBN: 9781133947202
Solutions for Chapter 1: Functions and Their Graphs
Get Full SolutionsChapter 1: Functions and Their Graphs includes 103 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Precalculus with Limits was written by and is associated to the ISBN: 9781133947202. This textbook survival guide was created for the textbook: Precalculus with Limits, edition: 3. Since 103 problems in chapter 1: Functions and Their Graphs have been answered, more than 26743 students have viewed full stepbystep solutions from this chapter.

Base
See Exponential function, Logarithmic function, nth power of a.

Branches
The two separate curves that make up a hyperbola

Cofunction identity
An identity that relates the sine, secant, or tangent to the cosine, cosecant, or cotangent, respectively

Constant function (on an interval)
ƒ(x 1) = ƒ(x 2) x for any x1 and x2 (in the interval)

Difference of complex numbers
(a + bi)  (c + di) = (a  c) + (b  d)i

DMS measure
The measure of an angle in degrees, minutes, and seconds

Equivalent arrows
Arrows that have the same magnitude and direction.

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

First quartile
See Quartile.

Halflife
The amount of time required for half of a radioactive substance to decay.

Inequality symbol or
<,>,<,>.

Multiplicative inverse of a matrix
See Inverse of a matrix

Natural logarithm
A logarithm with base e.

Partial fractions
The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

Quadrantal angle
An angle in standard position whose terminal side lies on an axis.

Shrink of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal shrink) by the constant 1/c or all of the ycoordinates (vertical shrink) by the constant c, 0 < c < 1.

Trichotomy property
For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

Unit circle
A circle with radius 1 centered at the origin.

Upper bound for ƒ
Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

Variance
The square of the standard deviation.