 62.6.2.1: The graph of y = f(x) contains the point (2, 3). What point must li...
 62.6.2.2: The graph of P = g(t) contains the point (1, 5). (a) If the graph h...
 62.6.2.3: The graph of H(x) is symmetric about the origin. If H(3) = 7, what ...
 62.6.2.4: The range of Q(x) is 2 Q(x) 12. What is the range of Q(x)?
 62.6.2.5: In Exercises 58, the function Q(t) has domain t > 0 and range 4 Q(t...
 62.6.2.6: In Exercises 58, the function Q(t) has domain t > 0 and range 4 Q(t...
 62.6.2.7: In Exercises 58, the function Q(t) has domain t > 0 and range 4 Q(t...
 62.6.2.8: In Exercises 58, the function Q(t) has domain t > 0 and range 4 Q(t...
 62.6.2.9: If the graph of y = ex is reflected about the xaxis, what is the f...
 62.6.2.10: If the graph of y = ex is reflected about the yaxis, what is the f...
 62.6.2.11: Complete the following tables using f(p) = p2+ 2p3, and g(p) = f(p)...
 62.6.2.12: Graph y = f(x)=4x and y = f(x) on the same set of axes. How are the...
 62.6.2.13: Graph y = g(x) = 1 3 x and y = g(x) on the same set of axes. How ar...
 62.6.2.14: Give a formula and graph for each of the transformations of m(n) = ...
 62.6.2.15: Give a formula and graph for each of the transformations of m(n) = ...
 62.6.2.16: Give a formula and graph for each of the transformations of m(n) = ...
 62.6.2.17: Give a formula and graph for each of the transformations of m(n) = ...
 62.6.2.18: Give a formula and graph for each of the transformations of k(w)=3w...
 62.6.2.19: Give a formula and graph for each of the transformations of k(w)=3w...
 62.6.2.20: Give a formula and graph for each of the transformations of k(w)=3w...
 62.6.2.21: Give a formula and graph for each of the transformations of k(w)=3w...
 62.6.2.22: In Exercises 2225, show that the function is even, odd, or neither....
 62.6.2.23: In Exercises 2225, show that the function is even, odd, or neither....
 62.6.2.24: In Exercises 2225, show that the function is even, odd, or neither....
 62.6.2.25: In Exercises 2225, show that the function is even, odd, or neither....
 62.6.2.26: (a) Graph the function obtained from f(x) = x3 by first reflecting ...
 62.6.2.27: (a) Graph the function obtained from g(x)=2x by first reflecting ab...
 62.6.2.28: Using Figure 6.24, evaluate (a) f(x) for x = 4 (b) f(x) for x = 6 (...
 62.6.2.29: (a) If g(x) = 3 x, find a formula for g(x). (b) Graph y = g(x) = 3 ...
 62.6.2.30: If the graph of a line y = b + mx is reflected about the yaxis, wh...
 62.6.2.31: Graph y = log(1/x) and y = log x on the same axes. How are the two ...
 62.6.2.32: Using Figure 6.25, graph the following transformations of f on sepa...
 62.6.2.33: Using Figure 6.26, match the functions (i)(v) with a graph (a)(e)...
 62.6.2.34: In Table 6.11, fill in as many yvalues as you can if you know that...
 62.6.2.35: Figure 6.27 shows the graph of a function f in the second quadrant....
 62.6.2.36: For each table, decide whether the function could be symmetric abou...
 62.6.2.37: Let f(x) be an even function, and let g(x) be an odd function. If p...
 62.6.2.38: Let both f(x) and g(x) be odd functions. If possible, determine whe...
 62.6.2.39: A function is called symmetric about the line y = x if interchangin...
 62.6.2.40: Show that the graph of the function h is symmetric about the origin...
 62.6.2.41: Comment on the following justification that the function f(x) = x3 ...
 62.6.2.42: Let f(x) be a function that is always increasing and concave down. ...
 62.6.2.43: Is it possible for an odd function whose domain is all real numbers...
 62.6.2.44: Let f(x) = b + mx. (a) Can f(x) be even? How? (b) Can f(x) be odd? ...
 62.6.2.45: If f is an odd function and defined at x = 0, what is the value of ...
 62.6.2.46: In the first quadrant an even function is increasing and concave do...
 62.6.2.47: Show that the power function f(x) = x1/3 is odd. Give a counterexam...
 62.6.2.48: Graph s(x)=2x + ( 1 2 ) x, c(x)=2x ( 1 2 ) x, and n(x)=2x ( 1 2 ) x...
 62.6.2.49: There are functions that are neither even nor odd. Is there a funct...
 62.6.2.50: Some functions are symmetric about the yaxis. Is it possible for a...
Solutions for Chapter 62: REFLECTIONS AND SYMMETRY
Full solutions for Functions Modeling Change: A Preparation for Calculus  4th Edition
ISBN: 9780470484753
Solutions for Chapter 62: REFLECTIONS AND SYMMETRY
Get Full SolutionsChapter 62: REFLECTIONS AND SYMMETRY includes 50 full stepbystep solutions. This textbook survival guide was created for the textbook: Functions Modeling Change: A Preparation for Calculus , edition: 4. Functions Modeling Change: A Preparation for Calculus was written by and is associated to the ISBN: 9780470484753. This expansive textbook survival guide covers the following chapters and their solutions. Since 50 problems in chapter 62: REFLECTIONS AND SYMMETRY have been answered, more than 18654 students have viewed full stepbystep solutions from this chapter.

Angular speed
Speed of rotation, typically measured in radians or revolutions per unit time

Common logarithm
A logarithm with base 10.

Commutative properties
a + b = b + a ab = ba

Direct variation
See Power function.

Fivenumber summary
The minimum, first quartile, median, third quartile, and maximum of a data set.

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

Leaf
The final digit of a number in a stemplot.

Magnitude of an arrow
The magnitude of PQ is the distance between P and Q

Midpoint (in a coordinate plane)
For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

Multiplicative identity for matrices
See Identity matrix

Plane in Cartesian space
The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

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

Proportional
See Power function

Rational zeros
Zeros of a function that are rational numbers.

Real part of a complex number
See Complex number.

Relevant domain
The portion of the domain applicable to the situation being modeled.

Removable discontinuity at x = a
lim x:a ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined

Series
A finite or infinite sum of terms.

Weighted mean
A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.

yzplane
The points (0, y, z) in Cartesian space.