 0.2.1: Let f(x) = 3x 2 and g(x) = x. In each part, give theformula for t...
 0.2.2: Let f(x) = 2 x2 and g(x) = x. In each part, give theformula for the...
 0.2.3: The graph of y = 1 + (x 2)2 may be obtained by shiftingthe graph of...
 0.2.4: Letf(x) =x + 1, 2 x 0x 1, 0 < x 2(a) The letter of the alphabet...
 0.2.5: 524 Sketch the graph of the equation by translating, reflecting, co...
 0.2.6: 524 Sketch the graph of the equation by translating, reflecting, co...
 0.2.7: 524 Sketch the graph of the equation by translating, reflecting, co...
 0.2.8: 524 Sketch the graph of the equation by translating, reflecting, co...
 0.2.9: 524 Sketch the graph of the equation by translating, reflecting, co...
 0.2.10: 524 Sketch the graph of the equation by translating, reflecting, co...
 0.2.11: 524 Sketch the graph of the equation by translating, reflecting, co...
 0.2.12: 524 Sketch the graph of the equation by translating, reflecting, co...
 0.2.13: 524 Sketch the graph of the equation by translating, reflecting, co...
 0.2.14: 524 Sketch the graph of the equation by translating, reflecting, co...
 0.2.15: 524 Sketch the graph of the equation by translating, reflecting, co...
 0.2.16: 524 Sketch the graph of the equation by translating, reflecting, co...
 0.2.17: 524 Sketch the graph of the equation by translating, reflecting, co...
 0.2.18: 524 Sketch the graph of the equation by translating, reflecting, co...
 0.2.19: 524 Sketch the graph of the equation by translating, reflecting, co...
 0.2.20: 524 Sketch the graph of the equation by translating, reflecting, co...
 0.2.21: 524 Sketch the graph of the equation by translating, reflecting, co...
 0.2.22: 524 Sketch the graph of the equation by translating, reflecting, co...
 0.2.23: 524 Sketch the graph of the equation by translating, reflecting, co...
 0.2.24: 524 Sketch the graph of the equation by translating, reflecting, co...
 0.2.25: (a) Sketch the graph of y = x + x by adding the correspondingyco...
 0.2.26: Sketch the graph of y = x + (1/x) by adding correspondingycoordina...
 0.2.27: 2728 Find formulas for f + g, f g, fg, and f /g, and state the doma...
 0.2.28: 2728 Find formulas for f + g, f g, fg, and f /g, and state the doma...
 0.2.29: Let f(x) = x and g(x) = x3 + 1. Find(a) f(g(2)) (b) g(f(4)) (c) f(f...
 0.2.30: Let g(x) = x. Find(a) g(5s + 2) (b) g(x + 2) (c) 3g(5x)(d)1g(x) (e)...
 0.2.31: 3134 Find formulas for f g and gf , and state the domains of the co...
 0.2.32: 3134 Find formulas for f g and gf , and state the domains of the co...
 0.2.33: 3134 Find formulas for f g and gf , and state the domains of the co...
 0.2.34: 3134 Find formulas for f g and gf , and state the domains of the co...
 0.2.35: 3536 Find a formula for f gh. f(x) = x2 + 1, g(x) = 1x, h(x) = x3
 0.2.36: 3536 Find a formula for f gh. f(x) = 11 + x, g(x) = 3 x, h(x) = 1x3
 0.2.37: 3742 Express f as a composition of two functions; that is, find g a...
 0.2.38: 3742 Express f as a composition of two functions; that is, find g a...
 0.2.39: 3742 Express f as a composition of two functions; that is, find g a...
 0.2.40: 3742 Express f as a composition of two functions; that is, find g a...
 0.2.41: 3742 Express f as a composition of two functions; that is, find g a...
 0.2.42: 3742 Express f as a composition of two functions; that is, find g a...
 0.2.43: 4346 TrueFalse Determine whether the statement is true or false. Ex...
 0.2.44: 4346 TrueFalse Determine whether the statement is true or false. Ex...
 0.2.45: 4346 TrueFalse Determine whether the statement is true or false. Ex...
 0.2.46: 4346 TrueFalse Determine whether the statement is true or false. Ex...
 0.2.47: Use the data in the accompanying table to make a plot of y = f(g(x)).
 0.2.48: Find the domain of gf for the functions f and g in Exercise 47.
 0.2.49: Sketch the graph of y = f(g(x)) for the functions graphed in the ac...
 0.2.50: Sketch the graph of y = g(f(x)) for the functions graphed in Exerci...
 0.2.51: Use the graphs of f and g in Exercise 49 to estimate the solutions ...
 0.2.52: Use the table given in Exercise 47 to solve the equations f(g(x)) =...
 0.2.53: 5356 Findf(x + h) f(x)hand f(w) f(x)w xSimplify as much as possible...
 0.2.54: 5356 Findf(x + h) f(x)hand f(w) f(x)w xSimplify as much as possible...
 0.2.55: 5356 Findf(x + h) f(x)hand f(w) f(x)w xSimplify as much as possible...
 0.2.56: 5356 Findf(x + h) f(x)hand f(w) f(x)w xSimplify as much as possible...
 0.2.57: . Classify the functions whose values are given in the accompanying...
 0.2.58: Complete the accompanying table so that the graph ofy = f(x) is sym...
 0.2.59: The accompanying figure shows a portion of a graph. Completethe gra...
 0.2.60: The accompanying figure shows a portion of the graph of afunction f...
 0.2.61: 6162 Classify the functions graphed in the accompanying figures as ...
 0.2.62: 6162 Classify the functions graphed in the accompanying figures as ...
 0.2.63: In each part, classify the function as even, odd, or neither.(a) f(...
 0.2.64: Suppose that the function f has domain all real numbers.Determine w...
 0.2.65: Suppose that the function f has domain all real numbers. Show that ...
 0.2.66: 6667 Use Theorem 0.2.3 to determine whether the graph has symmetrie...
 0.2.67: 6667 Use Theorem 0.2.3 to determine whether the graph has symmetrie...
 0.2.68: 6869 (i) Use a graphing utility to graph the equation in the first ...
 0.2.69: 6869 (i) Use a graphing utility to graph the equation in the first ...
 0.2.70: The graph of the equation x2/3 + y2/3 = 1, which is shownin the acc...
 0.2.71: The equation y = f(x) can be written asy = f(x), f(x) 0f(x), f(x)...
 0.2.72: 7273 Use the method described in Exercise 71. Sketch the graph of y...
 0.2.73: 7273 Use the method described in Exercise 71. Sketch the graph of(a...
 0.2.74: The greatest integer function, x, is defined to be thegreatest inte...
 0.2.75: Is it ever true that f g = gf if f and g are nonconstantfunctions? ...
Solutions for Chapter 0.2: NEW FUNCTIONS FROM OLD
Full solutions for Calculus: Early Transcendentals,  10th Edition
ISBN: 9780470647691
Solutions for Chapter 0.2: NEW FUNCTIONS FROM OLD
Get Full SolutionsThis textbook survival guide was created for the textbook: Calculus: Early Transcendentals, , edition: 10. Since 75 problems in chapter 0.2: NEW FUNCTIONS FROM OLD have been answered, more than 42007 students have viewed full stepbystep solutions from this chapter. Chapter 0.2: NEW FUNCTIONS FROM OLD includes 75 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendentals, was written by and is associated to the ISBN: 9780470647691.

Arcsine function
See Inverse sine function.

Division
a b = aa 1 b b, b Z 0

Explicitly defined sequence
A sequence in which the kth term is given as a function of k.

Frequency table (in statistics)
A table showing frequencies.

Future value of an annuity
The net amount of money returned from an annuity.

Inverse composition rule
The composition of a onetoone function with its inverse results in the identity function.

Inverse variation
See Power function.

Lower bound for real zeros
A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

Lower bound test for real zeros
A test for finding a lower bound for the real zeros of a polynomial

Mean (of a set of data)
The sum of all the data divided by the total number of items

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

Parametric equations for a line in space
The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

Partial fraction decomposition
See Partial fractions.

Probability distribution
The collection of probabilities of outcomes in a sample space assigned by a probability function.

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

Scientific notation
A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.

Secant
The function y = sec x.

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

Unit vector
Vector of length 1.

Vertical stretch or shrink
See Stretch, Shrink.