 1.3.1: Suppose the graph of f is given. Write equations for the graphs tha...
 1.3.2: Explain how each graph is obtained from the graph of y fsxd. (a) y ...
 1.3.3: The graph of y fsxd is given. Match each equation with its graph an...
 1.3.4: The graph of f is given. Draw the graphs of the following functions...
 1.3.5: The graph of f is given. Use it to graph the following functions. (...
 1.3.6: The graph of y s3x 2 x 2 is given. Use transformations to create a ...
 1.3.7: The graph of y s3x 2 x 2 is given. Use transformations to create a ...
 1.3.8: (a) How is the graph of y 2 sin x related to the graph of y sin x? ...
 1.3.9: Graph the function by hand, not by plotting points, but by starting...
 1.3.10: Graph the function by hand, not by plotting points, but by starting...
 1.3.11: Graph the function by hand, not by plotting points, but by starting...
 1.3.12: Graph the function by hand, not by plotting points, but by starting...
 1.3.13: Graph the function by hand, not by plotting points, but by starting...
 1.3.14: Graph the function by hand, not by plotting points, but by starting...
 1.3.15: Graph the function by hand, not by plotting points, but by starting...
 1.3.16: Graph the function by hand, not by plotting points, but by starting...
 1.3.17: Graph the function by hand, not by plotting points, but by starting...
 1.3.18: Graph the function by hand, not by plotting points, but by starting...
 1.3.19: Graph the function by hand, not by plotting points, but by starting...
 1.3.20: Graph the function by hand, not by plotting points, but by starting...
 1.3.21: Graph the function by hand, not by plotting points, but by starting...
 1.3.22: Graph the function by hand, not by plotting points, but by starting...
 1.3.23: Graph the function by hand, not by plotting points, but by starting...
 1.3.24: Graph the function by hand, not by plotting points, but by starting...
 1.3.25: The city of New Orleans is located at latitude 30N. Use Figure 9 to...
 1.3.26: A variable star is one whose brightness alternately increases and d...
 1.3.27: Some of the highest tides in the world occur in the Bay of Fundy on...
 1.3.28: In a normal respiratory cycle the volume of air that moves into and...
 1.3.29: (a) How is the graph of y f( x ) related to the graph of f ? (b) ...
 1.3.30: Use the given graph of f to sketch the graph of y 1yfsxd. Which fea...
 1.3.31: Find (a) f 1 t, (b) f 2 t, (c) f t, and (d) fyt and state their dom...
 1.3.32: Find (a) f 1 t, (b) f 2 t, (c) f t, and (d) fyt and state their dom...
 1.3.33: Find the functions (a) f 8 t, (b) t 8 f, (c) f 8 f, and (d) t 8 t a...
 1.3.34: Find the functions (a) f 8 t, (b) t 8 f, (c) f 8 f, and (d) t 8 t a...
 1.3.35: Find the functions (a) f 8 t, (b) t 8 f, (c) f 8 f, and (d) t 8 t a...
 1.3.36: Find the functions (a) f 8 t, (b) t 8 f, (c) f 8 f, and (d) t 8 t a...
 1.3.37: Find the functions (a) f 8 t, (b) t 8 f, (c) f 8 f, and (d) t 8 t a...
 1.3.38: Find the functions (a) f 8 t, (b) t 8 f, (c) f 8 f, and (d) t 8 t a...
 1.3.39: Find f 8 t 8 h fsxd 3x 2 2, tsxd sin x, hsxd x 2
 1.3.40: Find f 8 t 8 h fsxd  x 2 4 , tsxd 2x , hsxd sx
 1.3.41: Find f 8 t 8 h fsxd sx 2 3 , tsxd x 2 , hsxd x 3 1 2
 1.3.42: Find f 8 t 8 h fsxd tan x, tsxd x x 2 1 , hsxd s 3 x
 1.3.43: Express the function in the form f 8 t Fsxd s2x 1 x 2 d 4
 1.3.44: Express the function in the form f 8 t Fsxd cos2 x
 1.3.45: Express the function in the form f 8 t Fsxd s 3 x 1 1 s 3 x
 1.3.46: Express the function in the form f 8 t Gsxd 3 x 1 1 x
 1.3.47: Express the function in the form f 8 t vstd secst 2 d tanst 2 d
 1.3.48: Express the function in the form f 8 tustd tan t 1 1 tan t
 1.3.49: Express the function in the form f 8 t 8 h. Rsxd ssx 2 1
 1.3.50: Express the function in the form f 8 t 8 h. Hsxd s 8 2 1  x
 1.3.51: Express the function in the form f 8 t 8 h. Sstd sin2 scos td
 1.3.52: Use the table to evaluate each expression. (a) fs ts1dd (b) ts fs1d...
 1.3.53: Use the given graphs of f and t to evaluate each expression, or exp...
 1.3.54: Use the given graphs of f and t to estimate the value of fs tsxdd f...
 1.3.55: A stone is dropped into a lake, creating a circular ripple that tra...
 1.3.56: A spherical balloon is being inflated and the radius of the balloon...
 1.3.57: A ship is moving at a speed of 30 kmyh parallel to a straight shore...
 1.3.58: An airplane is flying at a speed of 350 miyh at an altitude of one ...
 1.3.59: The Heaviside function H is defined by Hstd H 0 1 if t , 0 if t > 0...
 1.3.60: The Heaviside function defined in Exercise 59 can also be used to d...
 1.3.61: Let f and t be linear functions with equations fsxd m1x 1 b1 and ts...
 1.3.62: If you invest x dollars at 4% interest compounded annually, then th...
 1.3.63: (a) If tsxd 2x 1 1 and hsxd 4x 2 1 4x 1 7, find a function f such t...
 1.3.64: If fsxd x 1 4 and hsxd 4x 2 1, find a function t such that t 8 f h.
 1.3.65: Suppose t is an even function and let h f 8 t. Is h always an even ...
 1.3.66: Suppose t is an odd function and let h f 8 t. Is h always an odd fu...
Solutions for Chapter 1.3: New Functions from Old Functions
Full solutions for Single Variable Calculus: Early Transcendentals  8th Edition
ISBN: 9781305270336
Solutions for Chapter 1.3: New Functions from Old Functions
Get Full SolutionsSingle Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Since 66 problems in chapter 1.3: New Functions from Old Functions have been answered, more than 96183 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 1.3: New Functions from Old Functions includes 66 full stepbystep solutions.

Additive identity for the complex numbers
0 + 0i is the complex number zero

Bounded below
A function is bounded below if there is a number b such that b ? ƒ(x) for all x in the domain of f.

Cosecant
The function y = csc x

Difference identity
An identity involving a trigonometric function of u  v

Elements of a matrix
See Matrix element.

Equally likely outcomes
Outcomes of an experiment that have the same probability of occurring.

Geometric sequence
A sequence {an}in which an = an1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

Graph of parametric equations
The set of all points in the coordinate plane corresponding to the ordered pairs determined by the parametric equations.

Hyperboloid of revolution
A surface generated by rotating a hyperbola about its transverse axis, p. 607.

Identity function
The function ƒ(x) = x.

Inverse cosine function
The function y = cos1 x

Linear equation in x
An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0

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

Obtuse triangle
A triangle in which one angle is greater than 90°.

Pythagorean
Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

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

Unit vector in the direction of a vector
A unit vector that has the same direction as the given vector.

Upper bound test for real zeros
A test for finding an upper bound for the real zeros of a polynomial.

Wrapping function
The function that associates points on the unit circle with points on the real number line

Ymin
The yvalue of the bottom of the viewing window.