Franklin D. Demana,Bert K. Waits,Gregory D. Foley,Daniel Kennedy
ISBN #9780131369061
8th Edition
4,922 Questions
Homework Questions
"Precalculus: Graphical, Numerical, Algebraic" is a foundational text that weaves together essential mathematical concepts—from basic algebra and coordinate systems to the liminal ideas bridging into calculus—while emphasizing real-world applications. The book starts by reinforcing key prerequisites and methodically introduces various types of functions and their graphical interpretations, including polynomial, exponential, and trigonometric functions. It also integrates advanced topics such as analytic trigonometry, matrices, and analytic geometry in two and three dimensions, all aimed at developing robust problem-solving skills. Ultimately, the text serves as a comprehensive bridge, preparing students for the analytical challenges and practical applications found in higher-level mathematics.
Chapter 0
Prerequisites
Chapter 1
Functions and Graphs
Chapter 2
Polynomial, Power, and Rational Functions
Chapter 3
Exponential, Logistic, and Logarithmic Functions
Chapter 4
Trigonometric Functions
Chapter 5
Analytic Trigonometry
Chapter 6
Applications of Trigonometry
Chapter 7
Systems and Matrices
Chapter 8
Analytic Geometry in Two and Three Dimensions
Chapter 9
Discrete Mathematics
Chapter 10
An Introduction to Calculus: Limits, Derivatives, and Integrals
Problem 1
In Exercises 1–4, determine whether the formula determines y as a function of x. If not, explain why not. $$y=\sqrt{x-4}$$
Khushbu Rani Numerade Educator
Problem 2
In Exercises $1-10$ , determine whether the function is a power function, given that $c, g, k,$ and $\pi$ represent constants. For those that are power functions, state the power and constant of variation. $$ f(x)=-\frac{1}{2} x^{5} $$
Problem 3
In Exercises 1–4, find the decimal form for the rational number. State whether it repeats or terminates. $$ -37 / 8 $$
Eric Solomon Numerade Educator
Problem 4
In Exercises $1-10$ , match the numerical model to the corresponding graphical model $(a-j)$ and algebraic model $(k-t) .$ $$ \begin{array}{|c|c|c|c|c|c|c|}\hline x & {3} & {5} & {7} & {9} & {12} & {15} \\ \hline y & {6} & {10} & {14} & {18} & {24} & {30} \\ \hline\end{array} $$
Mukesh Devi Numerade Educator
Problem 5
In Exercises 1 and 2, identify the one angle that is not coterminal with all the others. $$150^{\circ}, 510^{\circ},-210^{\circ}, 450^{\circ}, 870^{\circ}$$
Yousef Sheikh Numerade Educator
Problem 6
In Exercises $1-4,$ evaluate without using a calculator. Use the Pythagorean identities rather than reference triangles. (See Example 1.) Find $\sin \theta$ and $\cos \theta$ if $\tan \theta=3 / 4$ and $\sin \theta > 0$
Vipender Yadav Numerade Educator
WHAT OUR STUDENTS SAY
“I finally understand my textbook questions. Before Numerade, I’d skip hard problems. Now I get instant help with videos that explain everything simply.”
Edwin V. Penn State Freshman