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# Solutions for Chapter 3.4: Exponential, Logistic, and Logarithmic Functions

## Full solutions for Precalculus: Graphical, Numerical, Algebraic | 8th Edition

ISBN: 9780321656933

Solutions for Chapter 3.4: Exponential, Logistic, and Logarithmic Functions

Solutions for Chapter 3.4
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##### ISBN: 9780321656933

Chapter 3.4: Exponential, Logistic, and Logarithmic Functions includes 82 full step-by-step solutions. This textbook survival guide was created for the textbook: Precalculus: Graphical, Numerical, Algebraic, edition: 8th Edition. Precalculus: Graphical, Numerical, Algebraic was written by and is associated to the ISBN: 9780321656933. This expansive textbook survival guide covers the following chapters and their solutions. Since 82 problems in chapter 3.4: Exponential, Logistic, and Logarithmic Functions have been answered, more than 45941 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook

If u < v , then u + w < v + w

• Angle of depression

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

• Characteristic polynomial of a square matrix A

det(xIn - A), where A is an n x n matrix

• Common difference

See Arithmetic sequence.

• Double inequality

A statement that describes a bounded interval, such as 3 ? x < 5

• Equation

A statement of equality between two expressions.

• Graph of an inequality in x and y

The set of all points in the coordinate plane corresponding to the solutions x, y of the inequality.

See Polynomial function in x.

• Lemniscate

A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

• Midpoint (in Cartesian space)

For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b

• Midpoint (on a number line)

For the line segment with endpoints a and b, a + b2

• Mode of a data set

The category or number that occurs most frequently in the set.

• Natural logarithmic function

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

• Numerical derivative of ƒ at a

NDER f(a) = ƒ1a + 0.0012 - ƒ1a - 0.00120.002

• Range of a function

The set of all output values corresponding to elements in the domain.

• Shrink of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.

• Tree diagram

A visualization of the Multiplication Principle of Probability.

• Triangular number

A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

• Wrapping function

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

• Zero of a function

A value in the domain of a function that makes the function value zero.