 65.6.5.1: Describe y = f(3x 2) as the result of first applying a stretch or c...
 65.6.5.2: Describe y = 5(g(x) 8) as the result of first applying a stretch or...
 65.6.5.3: (6, 9). For each of the following functions, find a point on its gr...
 65.6.5.4: Table 6.24 gives values of x and f(x). Supply the values of each fu...
 65.6.5.5: Table 6.25 gives values of function v. Create a table giving five v...
 65.6.5.6: Figure 6.61 shows the graph of fx) = x. Graph each transformation...
 65.6.5.7: Figure 6.62 shows the graph of fx)=2x. Graph each transformation of...
 65.6.5.8: Using Figure 6.63, graph the following functions. (a) y = f(x)+2 (b...
 65.6.5.9: Using Figure 6.64, sketch y = 2f(0.5x) + 20.
 65.6.5.10: In Exercises 1011, use Figure 6.65 to graph the function.y = 2f(0.5x)
 65.6.5.11: In Exercises 1011, use Figure 6.65 to graph the function.h(x) = f(2...
 65.6.5.12: Using Figure 6.66, graph each of the following functions on separat...
 65.6.5.13: The graph of v has a horizontal asymptote at y = 4 and a vertical a...
 65.6.5.14: The function p(t) has domain 1 t 12 and range 40 < p 160. What is t...
 65.6.5.15: In Exercises 1516, sketch and label graphs of the functions using F...
 65.6.5.16: In Exercises 1516, sketch and label graphs of the functions using F...
 65.6.5.17: Figure 6.68 shows the graph of a function f. (a) Graph the function...
 65.6.5.18: Is y = f(2x 6) the function obtained from f by a horizontal compres...
 65.6.5.19: Is the function y = 5(g(x)2) obtained from g by a vertical stretch ...
 65.6.5.20: The Heaviside step function, H(x), is defined as follows: H(x)=1 fo...
 65.6.5.21: The graph of g is found by shifting the graph of f to the left by 4...
 65.6.5.22: The graph of g is the graph of f shifted right by 3 units, then ref...
 65.6.5.23: The graph of g is found by shifting the graph of f up by 2 units an...
 65.6.5.24: In 2425, the points (12, 20), (0, 6), (36, 2) lie on the graph of f...
 65.6.5.25: In 2425, the points (12, 20), (0, 6), (36, 2) lie on the graph of f...
 65.6.5.26: Use shifts, reflections, and vertical stretches to graph each parab...
 65.6.5.27: Sketch y = 160 4f(x/10) if f(x) = 20 2x.
 65.6.5.28: Let h(t) = t 2. Parts (a)(c) investigate the effects of changing th...
 65.6.5.29: Which (if any) of the following transformations of f is not the sam...
 65.6.5.30: Let f(x) = ex and g(x)=5ex2. If g(x) = kf(x), find k.
 65.6.5.31: The log function has the property that the graph resulting from a h...
 65.6.5.32: Applying a horizontal stretch by a factor of k (where k is a consta...
 65.6.5.33: Shifting g(x) = ex to the right k units (where k is a constant such...
 65.6.5.34: (a) The point (2, 5) lies on the graph of y = r(x). What are the co...
 65.6.5.35: (a) Describe the graph of y = 2f(x)+8 as the result of applying a s...
 65.6.5.36: (a) Describe the graph of y = f 1 3 x + 4 as the result of applying...
 65.6.5.37: The function d(t) graphed in Figure 6.69 gives the winter temperatu...
 65.6.5.38: Let D(t) denote the depth, in meters, of the water at a fixed locat...
 65.6.5.39: Let f be defined by the graph in Figure 6.70. Find formulas (in ter...
 65.6.5.40: (a) Graph h(x) = 2x2 8x 8. (b) Compare the graphs of h(x) and f(x) ...
 65.6.5.41: For 4142, find a formula for the family of functions obtained from ...
 65.6.5.42: For 4142, find a formula for the family of functions obtained from ...
 65.6.5.43: In 4345, you are given that g(x) = r f (sx) + j, where r, s, j are ...
 65.6.5.44: In 4345, you are given that g(x) = r f (sx) + j, where r, s, j are ...
 65.6.5.45: In 4345, you are given that g(x) = r f (sx) + j, where r, s, j are ...
Solutions for Chapter 65: COMBINING TRANSFORMATIONS
Full solutions for Functions Modeling Change: A Preparation for Calculus  4th Edition
ISBN: 9780470484753
Solutions for Chapter 65: COMBINING TRANSFORMATIONS
Get Full SolutionsChapter 65: COMBINING TRANSFORMATIONS includes 45 full stepbystep solutions. Since 45 problems in chapter 65: COMBINING TRANSFORMATIONS have been answered, more than 39315 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Functions Modeling Change: A Preparation for Calculus was written by and is associated to the ISBN: 9780470484753. This textbook survival guide was created for the textbook: Functions Modeling Change: A Preparation for Calculus , edition: 4.

Angle of depression
The acute angle formed by the line of sight (downward) and the horizontal

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

Base
See Exponential function, Logarithmic function, nth power of a.

Imaginary axis
See Complex plane.

Imaginary unit
The complex number.

Main diagonal
The diagonal from the top left to the bottom right of a square matrix

Onetoone function
A function in which each element of the range corresponds to exactly one element in the domain

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

Parallelogram representation of vector addition
Geometric representation of vector addition using the parallelogram determined by the position vectors.

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.

Perihelion
The closest point to the Sun in a planetâ€™s orbit.

PH
The measure of acidity

Product rule of logarithms
ogb 1RS2 = logb R + logb S, R > 0, S > 0,

Quadratic equation in x
An equation that can be written in the form ax 2 + bx + c = 01a ? 02

Range (in statistics)
The difference between the greatest and least values in a data set.

Reflexive property of equality
a = a

Semiperimeter of a triangle
Onehalf of the sum of the lengths of the sides of a triangle.

Slope
Ratio change in y/change in x

Stemplot (or stemandleaf plot)
An arrangement of a numerical data set into a specific tabular format.

Transformation
A function that maps real numbers to real numbers.