 1.3.1: d) Shift 3 units to the left. (e) Reflect about the axis. (f) Refl...
 1.3.2: Explain how the following graphs are obtained from the graph of .
 1.3.3: The graph of is given. Match each equation with its graph and give ...
 1.3.4: The graph of is given. Draw the graphs of the following functions.
 1.3.5: The graph of is given. Use it to graph the following functions.
 1.3.6: The graph of is given. Use transformations to create a function who...
 1.3.7: The graph of is given. Use transformations to create a function who...
 1.3.8: (a) How is the graph of related to the graph of ? Use your answer a...
 1.3.9: Graph the function, not by plotting points, but by starting with th...
 1.3.10: Graph the function, not by plotting points, but by starting with th...
 1.3.11: Graph the function, not by plotting points, but by starting with th...
 1.3.12: Graph the function, not by plotting points, but by starting with th...
 1.3.13: Graph the function, not by plotting points, but by starting with th...
 1.3.14: Graph the function, not by plotting points, but by starting with th...
 1.3.15: Graph the function, not by plotting points, but by starting with th...
 1.3.16: Graph the function, not by plotting points, but by starting with th...
 1.3.17: Graph the function, not by plotting points, but by starting with th...
 1.3.18: Graph the function, not by plotting points, but by starting with th...
 1.3.19: Graph the function, not by plotting points, but by starting with th...
 1.3.20: Graph the function, not by plotting points, but by starting with th...
 1.3.21: Graph the function, not by plotting points, but by starting with th...
 1.3.22: Graph the function, not by plotting points, but by starting with th...
 1.3.23: Graph the function, not by plotting points, but by starting with th...
 1.3.24: Graph the function, not by plotting points, but by starting with th...
 1.3.25: The city of New Orleans is located at latitude . Use Figure 9 to fi...
 1.3.26: A variable star is one whose brightness alternately increases and d...
 1.3.27: (a) How is the graph of related to the graph of ? (b) Sketch the gr...
 1.3.28: Use the given graph of to sketch the graph of . Which features of a...
 1.3.29: Use graphical addition to sketch the graph of f t
 1.3.30: Use graphical addition to sketch the graph of f t
 1.3.31: Find , , , and and state their domains. f x x 2 1 3 2x 2 3
 1.3.32: Find , , , and and state their domains. f x s1 x tx s1 xt
 1.3.33: Use the graphs of and and the method of graphical addition to sketc...
 1.3.34: Use the graphs of and and the method of graphical addition to sketc...
 1.3.35: Find the functions , , , and and their domains.
 1.3.36: Find the functions , , , and and their domains.
 1.3.37: Find the functions , , , and and their domains.
 1.3.38: Find the functions , , , and and their domains.
 1.3.39: Find the functions , , , and and their domains.
 1.3.40: Find the functions , , , and and their domains.
 1.3.41: Find f t h.
 1.3.42: Find f t h.
 1.3.43: Find f t h.
 1.3.44: Find f t h.
 1.3.45: Express the function in the form f t.
 1.3.46: Express the function in the form f t.
 1.3.47: Express the function in the form f t.
 1.3.48: Express the function in the form f t.
 1.3.49: Express the function in the form f t.
 1.3.50: Express the function in the form f t.
 1.3.51: Express the function in the form f t h.
 1.3.52: Express the function in the form f t h.
 1.3.53: Express the function in the form f t h.
 1.3.54: Use the table to evaluate each expression. (a) (b) (c)(d
 1.3.55: Use the given graphs of and to evaluate each expression, or explain...
 1.3.56: Use the given graphs of and to estimate the value of Vt for . Use t...
 1.3.57: A stone is dropped into a lake, creating a circular ripple that tra...
 1.3.58: An airplane is flying at a speed of at an altitude of one mile and ...
 1.3.59: The Heaviside function H is defined by It is used in the study of e...
 1.3.60: The Heaviside function defined in Exercise 59 can also be used to d...
 1.3.61: a) If and , find a function such that . (Think about what operation...
 1.3.62: If and , find a function such that
 1.3.63: Suppose t is an even function and let . Is h always an even function?
 1.3.64: Suppose t is an odd function and let . Is h always an odd function?...
Solutions for Chapter 1.3: New Functions from Old Functions
Full solutions for Calculus,  5th Edition
ISBN: 9780534393397
Solutions for Chapter 1.3: New Functions from Old Functions
Get Full SolutionsSince 64 problems in chapter 1.3: New Functions from Old Functions have been answered, more than 43478 students have viewed full stepbystep solutions from this chapter. Calculus, was written by and is associated to the ISBN: 9780534393397. This textbook survival guide was created for the textbook: Calculus,, edition: 5. Chapter 1.3: New Functions from Old Functions includes 64 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Absolute value of a real number
Denoted by a, represents the number a or the positive number a if a < 0.

Addition property of inequality
If u < v , then u + w < v + w

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

Compounded annually
See Compounded k times per year.

Compounded monthly
See Compounded k times per year.

Gaussian elimination
A method of solving a system of n linear equations in n unknowns.

Horizontal line
y = b.

Index
See Radical.

Infinite sequence
A function whose domain is the set of all natural numbers.

Intercepted arc
Arc of a circle between the initial side and terminal side of a central angle.

Leading coefficient
See Polynomial function in x

Line of travel
The path along which an object travels

LRAM
A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the lefthand endpoint of each subinterval

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

Natural logarithmic function
The inverse of the exponential function y = ex, denoted by y = ln x.

Negative linear correlation
See Linear correlation.

Orthogonal vectors
Two vectors u and v with u x v = 0.

Reflection across the xaxis
x, y and (x,y) are reflections of each other across the xaxis.

Rose curve
A graph of a polar equation or r = a cos nu.

Sequence of partial sums
The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.