 1.4.1: A relation that assigns to each element from a set of inputs, or __...
 1.4.2: Functions are commonly represented in four different ways, ________...
 1.4.3: For an equation that represents as a function of the set of all val...
 1.4.4: The function given by is an example of a ________ function.
 1.4.5: If the domain of the function is not given, then the set of values ...
 1.4.6: In calculus, one of the basic definitions is that of a ________ ___...
 1.4.7: In Exercises 58, does the table describe a function? Explain your r...
 1.4.8: In Exercises 58, does the table describe a function? Explain your r...
 1.4.9: In Exercises 9 and 10, which sets of ordered pairs represent functi...
 1.4.10: In Exercises 9 and 10, which sets of ordered pairs represent functi...
 1.4.11: Is the circulation of morning newspapers a function of the year? Is...
 1.4.12: Let represent the circulation of evening newspapers in year Find
 1.4.13: In Exercises 1324, determine whether the equation represents as a f...
 1.4.14: In Exercises 1324, determine whether the equation represents as a f...
 1.4.15: In Exercises 1324, determine whether the equation represents as a f...
 1.4.16: In Exercises 1324, determine whether the equation represents as a f...
 1.4.17: In Exercises 1324, determine whether the equation represents as a f...
 1.4.18: In Exercises 1324, determine whether the equation represents as a f...
 1.4.19: In Exercises 1324, determine whether the equation represents as a f...
 1.4.20: In Exercises 1324, determine whether the equation represents as a f...
 1.4.21: In Exercises 1324, determine whether the equation represents as a f...
 1.4.22: In Exercises 1324, determine whether the equation represents as a f...
 1.4.23: In Exercises 1324, determine whether the equation represents as a f...
 1.4.24: In Exercises 1324, determine whether the equation represents as a f...
 1.4.25: In Exercises 2538, evaluate the function at each specified value of...
 1.4.26: In Exercises 2538, evaluate the function at each specified value of...
 1.4.27: In Exercises 2538, evaluate the function at each specified value of...
 1.4.28: In Exercises 2538, evaluate the function at each specified value of...
 1.4.29: In Exercises 2538, evaluate the function at each specified value of...
 1.4.30: In Exercises 2538, evaluate the function at each specified value of...
 1.4.31: In Exercises 2538, evaluate the function at each specified value of...
 1.4.32: In Exercises 2538, evaluate the function at each specified value of...
 1.4.33: In Exercises 2538, evaluate the function at each specified value of...
 1.4.34: In Exercises 2538, evaluate the function at each specified value of...
 1.4.35: In Exercises 2538, evaluate the function at each specified value of...
 1.4.36: In Exercises 2538, evaluate the function at each specified value of...
 1.4.37: In Exercises 2538, evaluate the function at each specified value of...
 1.4.38: In Exercises 2538, evaluate the function at each specified value of...
 1.4.39: In Exercises 3944, complete the table.
 1.4.40: In Exercises 3944, complete the table.
 1.4.41: In Exercises 3944, complete the table.
 1.4.42: In Exercises 3944, complete the table.
 1.4.43: In Exercises 3944, complete the table.
 1.4.44: In Exercises 3944, complete the table.
 1.4.45: In Exercises 4552, find all real values of x such that f(x) = 0
 1.4.46: In Exercises 4552, find all real values of x such that f(x) = 0
 1.4.47: In Exercises 4552, find all real values of x such that f(x) = 0
 1.4.48: In Exercises 4552, find all real values of x such that f(x) = 0
 1.4.49: In Exercises 4552, find all real values of x such that f(x) = 0
 1.4.50: In Exercises 4552, find all real values of x such that f(x) = 0
 1.4.51: In Exercises 4552, find all real values of x such that f(x) = 0
 1.4.52: In Exercises 4552, find all real values of x such that f(x) = 0
 1.4.53: In Exercises 5356, find the value(s) of for which f(x) = g(x)
 1.4.54: In Exercises 5356, find the value(s) of for which f(x) = g(x)
 1.4.55: In Exercises 5356, find the value(s) of for which f(x) = g(x)
 1.4.56: In Exercises 5356, find the value(s) of for which f(x) = g(x)
 1.4.57: In Exercises 5770, find the domain of the function
 1.4.58: In Exercises 5770, find the domain of the function
 1.4.59: In Exercises 5770, find the domain of the function
 1.4.60: In Exercises 5770, find the domain of the function
 1.4.61: In Exercises 5770, find the domain of the function
 1.4.62: In Exercises 5770, find the domain of the function
 1.4.63: In Exercises 5770, find the domain of the function
 1.4.64: In Exercises 5770, find the domain of the function
 1.4.65: In Exercises 5770, find the domain of the function
 1.4.66: In Exercises 5770, find the domain of the function
 1.4.67: In Exercises 5770, find the domain of the function
 1.4.68: In Exercises 5770, find the domain of the function
 1.4.69: In Exercises 5770, find the domain of the function
 1.4.70: In Exercises 5770, find the domain of the function
 1.4.71: In Exercises 7174, assume that the domain of is the set Determine t...
 1.4.72: In Exercises 7174, assume that the domain of is the set Determine t...
 1.4.73: In Exercises 7174, assume that the domain of is the set Determine t...
 1.4.74: In Exercises 7174, assume that the domain of is the set Determine t...
 1.4.75: Exploration In Exercises 7578, match the data with one of the follo...
 1.4.76: Exploration In Exercises 7578, match the data with one of the follo...
 1.4.77: Exploration In Exercises 7578, match the data with one of the follo...
 1.4.78: Exploration In Exercises 7578, match the data with one of the follo...
 1.4.79: In Exercises 7986, find the difference quotient and simplify your a...
 1.4.80: In Exercises 7986, find the difference quotient and simplify your a...
 1.4.81: In Exercises 7986, find the difference quotient and simplify your a...
 1.4.82: In Exercises 7986, find the difference quotient and simplify your a...
 1.4.83: In Exercises 7986, find the difference quotient and simplify your a...
 1.4.84: In Exercises 7986, find the difference quotient and simplify your a...
 1.4.85: In Exercises 7986, find the difference quotient and simplify your a...
 1.4.86: In Exercises 7986, find the difference quotient and simplify your a...
 1.4.87: Geometry Write the area of a square as a function of its perimeter
 1.4.88: Geometry Write the area of a circle as a function of its circumfere...
 1.4.89: Maximum Volume An open box of maximum volume is to be made from a s...
 1.4.90: Maximum Profit The cost per unit in the production of a portable CD...
 1.4.91: Geometry A right triangle is formed in the first quadrant by the  ...
 1.4.92: Geometry A rectangle is bounded by the axis and the semicircle (se...
 1.4.93: Path of a Ball The height (in feet) of a baseball thrown by a child...
 1.4.94: Prescription Drugs The amounts (in billions of dollars) spent on pr...
 1.4.95: Average Price The average prices (in thousands of dollars) of a new...
 1.4.96: Postal Regulations A rectangular package to be sent by the U.S. Pos...
 1.4.97: Cost, Revenue, and Profit A company produces a product for which th...
 1.4.98: Average Cost The inventor of a new game believes that the variable ...
 1.4.99: Transportation For groups of 80 or more people, a charter bus compa...
 1.4.100: Physics The force (in tons) of water against the face of a dam is e...
 1.4.101: Height of a Balloon A balloon carrying a transmitter ascends vertic...
 1.4.102: Wildlife The graph shows the numbers of threatened and endangered f...
 1.4.103: The domain of the function given by is and the range of is
 1.4.104: The set of ordered pairs represents a function.
 1.4.105: Writing In your own words, explain the meanings of domain and range.
 1.4.106: Think About It Consider and Why are the domains of and different? f...
 1.4.107: (a) The sales tax on a purchased item is a function of the selling ...
 1.4.108: (a) The amount in your savings account is a function of your salary...
 1.4.109: In Exercises 109112, solve the equation.
 1.4.110: In Exercises 109112, solve the equation.
 1.4.111: In Exercises 109112, solve the equation.
 1.4.112: In Exercises 109112, solve the equation.
 1.4.113: In Exercises 113116, find the equation of the line passing through ...
 1.4.114: In Exercises 113116, find the equation of the line passing through ...
 1.4.115: In Exercises 113116, find the equation of the line passing through ...
 1.4.116: In Exercises 113116, find the equation of the line passing through ...
Solutions for Chapter 1.4: Functions
Full solutions for Precalculus  7th Edition
ISBN: 9780618643448
Solutions for Chapter 1.4: Functions
Get Full SolutionsSince 116 problems in chapter 1.4: Functions have been answered, more than 30678 students have viewed full stepbystep solutions from this chapter. Chapter 1.4: Functions includes 116 full stepbystep solutions. Precalculus was written by and is associated to the ISBN: 9780618643448. This textbook survival guide was created for the textbook: Precalculus, edition: 7. This expansive textbook survival guide covers the following chapters and their solutions.

Algebraic model
An equation that relates variable quantities associated with phenomena being studied

Annuity
A sequence of equal periodic payments.

Branches
The two separate curves that make up a hyperbola

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

Conic section (or conic)
A curve obtained by intersecting a doublenapped right circular cone with a plane

Differentiable at x = a
ƒ'(a) exists

Factoring (a polynomial)
Writing a polynomial as a product of two or more polynomial factors.

Finite series
Sum of a finite number of terms.

Independent events
Events A and B such that P(A and B) = P(A)P(B)

Inductive step
See Mathematical induction.

Inequality symbol or
<,>,<,>.

Linear regression equation
Equation of a linear regression line

Modulus
See Absolute value of a complex number.

Numerical derivative of ƒ at a
NDER f(a) = ƒ1a + 0.0012  ƒ1a  0.00120.002

Onetoone rule of logarithms
x = y if and only if logb x = logb y.

Positive numbers
Real numbers shown to the right of the origin on a number line.

Real zeros
Zeros of a function that are real numbers.

Replication
The principle of experimental design that minimizes the effects of chance variation by repeating the experiment multiple times.

Stem
The initial digit or digits of a number in a stemplot.

Variable
A letter that represents an unspecified number.