 1.6.1: (a) What is a onetoone function? f (b) How can you tell from the ...
 1.6.2: (a) Suppose is a onetoone function with domain and range . How is...
 1.6.3: A function is given by a table of values, a graph, a formula, or a ...
 1.6.4: A function is given by a table of values, a graph, a formula, or a ...
 1.6.5: A function is given by a table of values, a graph, a formula, or a ...
 1.6.6: A function is given by a table of values, a graph, a formula, or a ...
 1.6.7: A function is given by a table of values, a graph, a formula, or a ...
 1.6.8: A function is given by a table of values, a graph, a formula, or a ...
 1.6.9: A function is given by a table of values, a graph, a formula, or a ...
 1.6.10: A function is given by a table of values, a graph, a formula, or a ...
 1.6.11: A function is given by a table of values, a graph, a formula, or a ...
 1.6.12: A function is given by a table of values, a graph, a formula, or a ...
 1.6.13: A function is given by a table of values, a graph, a formula, or a ...
 1.6.14: A function is given by a table of values, a graph, a formula, or a ...
 1.6.15: Use a graph to decide whether is onetoone. f x x 3 x 3 xf
 1.6.16: Use a graph to decide whether is onetoone. f x x f x x 3 x 3 xf
 1.6.17: If is a onetoone function such that , what is ?
 1.6.18: Let , where . (a) Find . (b) Find .
 1.6.19: If tx 3 x e 4 x 1, find .
 1.6.20: The graph of is given. (a) Why is onetoone? (b) State the domain ...
 1.6.21: The formula , where , expresses the Celsius temperature C as a func...
 1.6.22: In the theory of relativity, the mass of a particle with speed is w...
 1.6.23: Find a formula for the inverse of the function.
 1.6.24: Find a formula for the inverse of the function.
 1.6.25: Find a formula for the inverse of the function.
 1.6.26: Find a formula for the inverse of the function.
 1.6.27: Find a formula for the inverse of the function.
 1.6.28: Find a formula for the inverse of the function.
 1.6.29: Find an explicit formula for and use it to graph , and the line on ...
 1.6.30: Find an explicit formula for and use it to graph , and the line on ...
 1.6.31: Use the given graph of to sketch the graph of .
 1.6.32: Use the given graph of to sketch the graphs of and .
 1.6.33: (a) How is the logarithmic function defined? (b) What is the domain...
 1.6.34: (a) What is the natural logarithm? x (b) What is the common logarit...
 1.6.35: Find the exact value of each expression.
 1.6.36: Find the exact value of each expression.
 1.6.37: Find the exact value of each expression.
 1.6.38: Find the exact value of each expression.
 1.6.39: Express the given quantity as a single logarithm.
 1.6.40: Express the given quantity as a single logarithm.
 1.6.41: Express the given quantity as a single logarithm.
 1.6.42: Use Formula 10 to evaluate each logarithm correct to six decimal pl...
 1.6.43: Use Formula 10 to graph the given functions on a common screen. How...
 1.6.44: Use Formula 10 to graph the given functions on a common screen. How...
 1.6.45: Suppose that the graph of is drawn on a coordinate grid where the u...
 1.6.46: Compare the functions and by graphing both and in several viewing r...
 1.6.47: Make a rough sketch of the graph of each function. Do not use a cal...
 1.6.48: Make a rough sketch of the graph of each function. Do not use a cal...
 1.6.49: Solve each equation for .
 1.6.50: Solve each equation for .
 1.6.51: Solve each equation for .
 1.6.52: Solve each equation for .
 1.6.53: Solve each inequality for .
 1.6.54: Solve each inequality for .
 1.6.55: Find (a) the domain of and (b) and its domain.
 1.6.56: Find (a) the domain of and (b) and its domain.
 1.6.57: Graph the function and explain why it is onetoone. Then use a com...
 1.6.58: (a) If , use a computer algebra system to find an expression for . ...
 1.6.59: If a bacteria population starts with 100 bacteria and doubles every...
 1.6.60: When a camera flash goes off, the batteries immediately begin to re...
 1.6.61: Starting with the graph of , find the equation of the graph that re...
 1.6.62: (a) If we shift a curve to the left, what happens to its reflection...
 1.6.63: Find the exact value of each expression.
 1.6.64: Find the exact value of each expression.
 1.6.65: Find the exact value of each expression.
 1.6.66: Find the exact value of each expression.
 1.6.67: Find the exact value of each expression.
 1.6.68: Find the exact value of each expression.
 1.6.69: Prove that cossin1x s1 x 2 .
 1.6.70: Simplify the expression.
 1.6.71: Simplify the expression.
 1.6.72: Simplify the expression.
 1.6.73: Graph the given functions on the same screen. How are these graphs ...
 1.6.74: Graph the given functions on the same screen. How are these graphs ...
 1.6.75: Find the domain and range of the function tx sin13x 1
 1.6.76: (a) Graph the function and explain the appearance of the graph. (b)...
Solutions for Chapter 1.6: Inverse Functions and Logarithms
Full solutions for Calculus,  5th Edition
ISBN: 9780534393397
Solutions for Chapter 1.6: Inverse Functions and Logarithms
Get Full SolutionsThis textbook survival guide was created for the textbook: Calculus,, edition: 5. Calculus, was written by and is associated to the ISBN: 9780534393397. Chapter 1.6: Inverse Functions and Logarithms includes 76 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 76 problems in chapter 1.6: Inverse Functions and Logarithms have been answered, more than 45378 students have viewed full stepbystep solutions from this chapter.

Absolute value of a complex number
The absolute value of the complex number z = a + b is given by ?a2+b2; also, the length of the segment from the origin to z in the complex plane.

Boundary
The set of points on the “edge” of a region

Coefficient of determination
The number r2 or R2 that measures how well a regression curve fits the data

Composition of functions
(f ? g) (x) = f (g(x))

Coordinate(s) of a point
The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian threedimensional space

Cycloid
The graph of the parametric equations

Derivative of ƒ
The function defined by ƒ'(x) = limh:0ƒ(x + h)  ƒ(x)h for all of x where the limit exists

Focus, foci
See Ellipse, Hyperbola, Parabola.

Gaussian curve
See Normal curve.

Graph of a relation
The set of all points in the coordinate plane corresponding to the ordered pairs of the relation.

Intermediate Value Theorem
If ƒ is a polynomial function and a < b , then ƒ assumes every value between ƒ(a) and ƒ(b).

Local extremum
A local maximum or a local minimum

Nonsingular matrix
A square matrix with nonzero determinant

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

Pole
See Polar coordinate system.

Positive numbers
Real numbers shown to the right of the origin on a number line.

Quadratic formula
The formula x = b 2b2  4ac2a used to solve ax 2 + bx + c = 0.

Regression model
An equation found by regression and which can be used to predict unknown values.

Standard form of a complex number
a + bi, where a and b are real numbers

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