 4.1.1: In Exercises 1 8, find the linear functions satisfying the given co...
 4.1.2: In Exercises 1 8, find the linear functions satisfying the given co...
 4.1.3: In Exercises 1 8, find the linear functions satisfying the given co...
 4.1.4: In Exercises 1 8, find the linear functions satisfying the given co...
 4.1.5: In Exercises 1 8, find the linear functions satisfying the given co...
 4.1.6: In Exercises 1 8, find the linear functions satisfying the given co...
 4.1.7: In Exercises 1 8, find the linear functions satisfying the given co...
 4.1.8: In Exercises 1 8, find the linear functions satisfying the given co...
 4.1.9: Let f(x) 3x 4 and g(x) 1 2x. Determine whether the function f g is ...
 4.1.10: Explain why there is no linear function with a graph that passes th...
 4.1.11: A factory owner buys a new machine for $20,000. After eight years, ...
 4.1.12: A manufacturer buys a new machine costing $120,000. It is estimated...
 4.1.13: A factory owner installs a new machine costing $60,000. Its expecte...
 4.1.14: Let x denote a temperature on the Celsius scale, and let y denote t...
 4.1.15: Suppose that the cost C(x), in dollars, of producing x electric fan...
 4.1.16: Suppose that the cost to a manufacturer of producing x units of a c...
 4.1.17: Suppose that the cost C(x), in dollars, of producing x compact disc...
 4.1.18: The following graphs each relate distance and time for a moving obj...
 4.1.19: Two points A and B move along the xaxis. After t sec, their positi...
 4.1.20: A point moves along the xaxis, and its xcoordinate after t sec is...
 4.1.21: The following table gives the population of California in 1995 and ...
 4.1.22: The following table gives the population of Florida in 1985 and 199...
 4.1.23: The following table indicates total motion picture receipts (includ...
 4.1.24: During the 1990s the percentage of TV households viewing cable and ...
 4.1.25: In general, the growth of plants or animals does not follow a linea...
 4.1.26: In general, the growth of plants or animals does not follow a linea...
 4.1.27: (a) On graph paper, plot the following points: (1, 0), (2, 3), (3, ...
 4.1.28: (a) On graph paper, plot the following points: (1, 2), (3, 2), (5, ...
 4.1.29: The table in the following figure shows the population of Los Angel...
 4.1.30: Perhaps foreshadowing the end of the Cold War in the early 1990s, t...
 4.1.31: The following table shows world grain production for selected years...
 4.1.32: The following table shows global natural gas production for the yea...
 4.1.33: This exercise illustrates one of the pitfalls that can arise in usi...
 4.1.34: (a) The June 1976 issue of Scientific American magazine contained a...
 4.1.35: The data in Table 2 on page 217 covers the years 1957 1993. The equ...
 4.1.36: Linear functions can be used to approximate more complicated functi...
 4.1.37: In Exercises 37 40, let f and g be the linear functions defined by ...
 4.1.38: In Exercises 37 40, let f and g be the linear functions defined by ...
 4.1.39: In Exercises 37 40, let f and g be the linear functions defined by ...
 4.1.40: In Exercises 37 40, let f and g be the linear functions defined by ...
 4.1.41: Show that the linear function f(x) mx satisfies the following ident...
 4.1.42: Let f be a linear function such that for all real numbers a and b. ...
 4.1.43: Find a linear function f(x) mx b such that m is positive and (f f)(...
 4.1.44: (a) Let f be a linear function. Show that (In words: The output of ...
 4.1.45: This exercise shows how to compute the slope and the yintercept of ...
 4.1.46: In Exercises 46 49: (a) Use the method described in Exercise 45 to ...
 4.1.47: In Exercises 46 49: (a) Use the method described in Exercise 45 to ...
 4.1.48: In Exercises 46 49: (a) Use the method described in Exercise 45 to ...
 4.1.49: In Exercises 46 49: (a) Use the method described in Exercise 45 to ...
 4.1.50: Suppose that f is a linear function satisfying the condition f(kx) ...
 4.1.51: (a) Find all linear functions f satisfying the identity f(f(x)) 2x ...
 4.1.52: Let a and b be real numbers, and suppose that the inequality ax b 0...
 4.1.53: Are there any linear functions f satisfying the identity f 1 (x) f(...
 4.1.54: Let f(x) ax b, where a and b are positive numbers, and assume that ...
Solutions for Chapter 4.1: LINEAR FUNCTIONS
Full solutions for Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CDROM) (Available 2010 Titles Enhanced Web Assign)  4th Edition
ISBN: 9780534402303
Solutions for Chapter 4.1: LINEAR FUNCTIONS
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Since 54 problems in chapter 4.1: LINEAR FUNCTIONS have been answered, more than 24799 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CDROM) (Available 2010 Titles Enhanced Web Assign), edition: 4. Chapter 4.1: LINEAR FUNCTIONS includes 54 full stepbystep solutions. Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CDROM) (Available 2010 Titles Enhanced Web Assign) was written by and is associated to the ISBN: 9780534402303.

Acute angle
An angle whose measure is between 0° and 90°

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

Angle between vectors
The angle formed by two nonzero vectors sharing a common initial point

Angle of elevation
The acute angle formed by the line of sight (upward) and the horizontal

Blind experiment
An experiment in which subjects do not know if they have been given an active treatment or a placebo

Combination
An arrangement of elements of a set, in which order is not important

Equivalent vectors
Vectors with the same magnitude and direction.

Imaginary unit
The complex number.

Inverse cosecant function
The function y = csc1 x

Irreducible quadratic over the reals
A quadratic polynomial with real coefficients that cannot be factored using real coefficients.

Midpoint (in Cartesian space)
For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b

Open interval
An interval that does not include its endpoints.

Product of complex numbers
(a + bi)(c + di) = (ac  bd) + (ad + bc)i

symmetric about the xaxis
A graph in which (x, y) is on the graph whenever (x, y) is; or a graph in which (r, ?) or (r, ?, ?) is on the graph whenever (r, ?) is

Symmetric matrix
A matrix A = [aij] with the property aij = aji for all i and j

Unit ratio
See Conversion factor.

Venn diagram
A visualization of the relationships among events within a sample space.

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

Zero factorial
See n factorial.

Zero of a function
A value in the domain of a function that makes the function value zero.