 2.1: A verbal description of a function f is given. Find a formula that ...
 2.2: A verbal description of a function f is given. Find a formula that ...
 2.3: A formula for a function f is given. Give a verbal description of t...
 2.4: A formula for a function f is given. Give a verbal description of t...
 2.5: Complete the table of values for the given function.g1x2 x 4x
 2.6: Complete the table of values for the given function.h1x2 3x + 2x 5
 2.7: A publisher estimates that the cost C(x) of printing a run of x cop...
 2.8: Reynalda works as a salesperson in the electronics division of a de...
 2.9: If , find , , , , , , , and .
 2.10: If , find , , , , , and .
 2.11: Which of the following figures are graphs of functions? Which of th...
 2.12: (a) What is a onetoone function? (b) How can you tell from the gr...
 2.13: Find the domain and range of the function.f1x2 1x 3
 2.14: Find the domain and range of the function.f1x2 1x 3
 2.15: Find the domain of the function.f1x2 7x 15
 2.16: Find the domain of the function.f1x2 2x 12x 1
 2.17: Find the domain of the function.f1x2 1x 4
 2.18: Find the domain of the function.f1x2 3x 21x 1
 2.19: Find the domain of the function.f1x2 1x 1x 11x 2
 2.20: Find the domain of the function.g1x2 2x2 5x 32x2 5x 3
 2.21: Find the domain of the function.h1x2 14 x 2x2 1
 2.22: Find the domain of the function.f1x2 23 2x 123 2x 2
 2.23: Sketch the graph of the function.f1x2 1 2x
 2.24: Sketch the graph of the function.f1x2 13 1x 52, 2 x 8
 2.25: Sketch the graph of the function.f1t2 1 2 2t 1
 2.26: Sketch the graph of the function.g1t2 t 2t 1
 2.27: Sketch the graph of the function.f1x2 x2 6x 6
 2.28: Sketch the graph of the function.f1x2 3 8x 2x2
 2.29: Sketch the graph of the function.g1x2 1 1x
 2.30: Sketch the graph of the function.g1x2 0 x 0
 2.31: Sketch the graph of the function.h1x2 12 x3
 2.32: Sketch the graph of the function.h1x2 1x 3
 2.33: Sketch the graph of the function.h1x2 13 x
 2.34: Sketch the graph of the function.H1x2 x3 3x2
 2.35: Sketch the graph of the function.g1x2 1x2
 2.36: Sketch the graph of the function.G1x2 11x 322
 2.37: Sketch the graph of the function.f1x2 e1 x if x 01 if x 0
 2.38: Sketch the graph of the function.f1x2 e1 2x if x 02x 1 if x 0
 2.39: Sketch the graph of the function.f1x2 ex 6 if x 2x2 if x 2
 2.40: Sketch the graph of the function.f1x2 cx if x 0x 2 if 0 x 21 if x 2f
 2.41: Determine whether the equation defines y as a function.x y 2 14
 2.42: Determine whether the equation defines y as a function.3x 2y 8
 2.43: Determine whether the equation defines y as a function.x 4 3 y3 27
 2.44: Determine whether the equation defines y as a function.2x y 4 16
 2.45: Determine which viewing rectangle produces the most appropriate gra...
 2.46: Determine which viewing rectangle produces the most appropriate gra...
 2.47: Draw the graph of the function in an appropriate viewing rectangle....
 2.48: Draw the graph of the function in an appropriate viewing rectangle....
 2.49: Draw the graph of the function in an appropriate viewing rectangle....
 2.50: Draw the graph of the function in an appropriate viewing rectangle....
 2.51: Find, approximately, the domain of the function.f1x2 2x3 4x 1
 2.52: Find, approximately, the domain of the function.f1x2 x4 x3 x2 3x 6
 2.53: Draw a graph of the function f, and determine the intervals on whic...
 2.54: Draw a graph of the function f, and determine the intervals on whic...
 2.55: Find the average rate of change of the function between the given p...
 2.56: Find the average rate of change of the function between the given p...
 2.57: Find the average rate of change of the function between the given p...
 2.58: Find the average rate of change of the function between the given p...
 2.59: The population of a planned seaside community in Florida is given b...
 2.60: Ella is saving for her retirement by making regular deposits into a...
 2.61: A function f is given. (a) Find the average rate of change of f bet...
 2.62: A function f is given. (a) Find the average rate of change of f bet...
 2.63: Suppose the graph of f is given. Describe how the graphs of the fol...
 2.64: The graph of f is given. Draw the graphs of the following functions.
 2.65: Determine whether f is even, odd, or neither.f1x2 x3 x7 f1x2 2x5 3x...
 2.66: Determine whether the function in the figure is even, odd, or neith...
 2.67: Find the minimum value of the function .g1x2 2x2 4x 5
 2.68: Find the maximum value of the function .f1x2 1 x x2
 2.69: A stone is thrown upward from the top of a building. Its height (in...
 2.70: The profit P (in dollars) generated by selling x units of a certain...
 2.71: Find the local maximum and minimum values of the function and the v...
 2.72: Find the local maximum and minimum values of the function and the v...
 2.73: Two functions, f and g, are given. Draw graphs of f, g, and f g on ...
 2.74: Two functions, f and g, are given. Draw graphs of f, g, and f g on ...
 2.75: If f1x2 x g1x2 4 3x 2 3x 2and , find the following functions.(a) f ...
 2.76: Iff1x2 1 x andg1x2 1x 1 , find the following.f g g f 1f g2 122
 2.77: Find the functions , and and their domains.f1x2 3x 1, g1x2 2x x2
 2.78: Find the functions , and and their domains.f1x2 1x, g1x2 2x 4
 2.79: Findf g h , wheref1x2 11 x, g1x2 1 x2 f , and .h1x2 1 1x
 2.80: If , find functions f, g, and h such that .f g h T
 2.81: Determine whether the function is onetoone.f1x2 3 x3
 2.82: Determine whether the function is onetoone.g1x2 2 2x x2
 2.83: Determine whether the function is onetoone.h1x2 1x4
 2.84: Determine whether the function is onetoone.r1x2 2 1x 3
 2.85: Determine whether the function is onetoone.p1x2 3.3 1.6x 2.5x3
 2.86: Determine whether the function is onetoone.q1x2 3.3 1.6x 2.5x3
 2.87: Find the inverse of the function.f1x2 3x 2
 2.88: Find the inverse of the function.f1x2 2x 13
 2.89: Find the inverse of the function.f1x2 1x 12 3
 2.90: Find the inverse of the function.f1x2 1 15 f1x2 1x 12
 2.91: (a) Sketch the graph of the function (b) Use part (a) to sketch the...
 2.92: (a) Show that the function is onetoone. (b) Sketch the graph of f...
Solutions for Chapter 2: FUNCTIONS
Full solutions for Precalculus: Mathematics for Calculus  6th Edition
ISBN: 9780840068071
Solutions for Chapter 2: FUNCTIONS
Get Full SolutionsSummary of Chapter 2: FUNCTIONS
Chapter 2: FUNCTIONS includes 92 full stepbystep solutions. Since 92 problems in chapter 2: FUNCTIONS have been answered, more than 42692 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Precalculus: Mathematics for Calculus, edition: 6. Precalculus: Mathematics for Calculus was written by and is associated to the ISBN: 9780840068071.

Absolute maximum
A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.

Annual percentage rate (APR)
The annual interest rate

Annual percentage yield (APY)
The rate that would give the same return if interest were computed just once a year

Complex plane
A coordinate plane used to represent the complex numbers. The xaxis of the complex plane is called the real axis and the yaxis is the imaginary axis

Difference of two vectors
<u1, u2>  <v1, v2> = <u1  v1, u2  v2> or <u1, u2, u3>  <v1, v2, v3> = <u1  v1, u2  v2, u3  v3>

Focal axis
The line through the focus and perpendicular to the directrix of a conic.

Identity function
The function ƒ(x) = x.

Magnitude of a real number
See Absolute value of a real number

Midpoint (on a number line)
For the line segment with endpoints a and b, a + b2

Objective function
See Linear programming problem.

Polynomial interpolation
The process of fitting a polynomial of degree n to (n + 1) points.

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

Projectile motion
The movement of an object that is subject only to the force of gravity

Quotient of complex numbers
a + bi c + di = ac + bd c2 + d2 + bc  ad c2 + d2 i

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

Secant
The function y = sec x.

Solution set of an inequality
The set of all solutions of an inequality

Standard form of a polar equation of a conic
r = ke 1 e cos ? or r = ke 1 e sin ? ,

Summation notation
The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series

Tree diagram
A visualization of the Multiplication Principle of Probability.